ࡱ> >B@.?E*Root Entry F^cS1xCompObjnWordDocument [ObjectPool 5(T 5(T u  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstvwxyz{|}~      !"#$%G() +,-./01W3456789:;<=eHIJKLMNOPQRSTUVWXYZ[\]^_`abcdgf_hijklmnopqrstuvwxyz{|}~SummaryInformation(` th a rectangular cross section. Victoria BaileyVictoria Bailey@d@Y@4@8CMicrosoft Word 6.07 FMicrosoft Word 6.0 Document MSWordDocWord.Document.69q_Oh+'00   4X |  67 0 (f)A -0.500 0 (_)A ; : (C:\MSOFFICE\WINWORD\TEMPLATE\NORMAL.DOTThe Parametric_product_space 10 metre rectangular beams is the set of beams designs of length 10 metres wi=1=1=222====22CTimes New Roman Symbol &Arial5Courier New"hr9Fɫ:4!The Parametric_product_space 10 metre rectangular beams is the set of beams designs of length 10 metres with a rectangular cross section. Victoria BaileyVictoria Bailey      !"#$%&'(2HIJKLMN*XYZ[\]^G`abcdeܥe= Le2[.XnXnBBBBBGBpOpOpO OO:GqZCOpnPPPPPPPQQQQ&RSFUZT[dU BP"$ PPPPdUPBBPOPPPPBPBPQBDXBrBBBBPQPfP Product and activity parameterisation A usage of the EACM AuthorDavid LealDate14th September 1999Version1.0CirculationDerek Pashley, Chris Vaughan, Steve Chilcott, PDES Inc. EA team The production of this document was funded by Rolls-Royce plc as a contribution to tasks 3.46 Engineering Analysis and 3.47 Application Module Development within the PDES Inc. Work Program. Introduction Purpose of the document This document explains the initial set of ARM models for the EACM, which cover the internal parameterisation of a product or activity - i.e. how points or features within a product or states within an activity are identified. This parameterisation can then be used to describe variations of properties with respect to posit in an unloaded reference state. There are an infinite number of cross sections in the set. Each cross section in the set is identified by a real number in the range [0, 1]. The ARM instances that record: the existence of the one dimensional space of cross sections; its relationship to the design as a whole; and the way in which a cross section within the set is identified, are as follows: #002 = DESIGN_SURFACE_SPACE (1); #003 = FEATURE_SPACE_FOR_PRODUCT_DESIGN (#001, #002); #004 = PHYSICAL_TOPOLOGY_SPACE_PARAMETERISATION (#005, #002); #005 = MATHS_SPACE (the set of reals between 0 and 1); NOTE - The entity Maths_space is the point of intersection with the Mathematical representation schema. The way in which the nature of the Maths_space is made computer interpretable, is not within the scope of this discussion. An individual feature within a product design The mid section of the 10 metre beam is a Design_surface. The ARM instances that record: the existence of the cross section; its relationship to the set of cross sections within the beam; and the identification of the cross section by the number 0.5, are as follows: #006 = DESIGN_SURFACE (); #007 = MEMBERSHIP_OF_FEATURE_SPACE (#002, #006); #008 = PHYSICAL_TOPOLOGY_SPACE_PARAMETERISATION_ELEMENT (#009, #006); #009 = MATHS_VALUE (the real 0.5); #010 = ELEMENT_OF_MAPPING (#004, #008); NOTE - There can be alternative identification schemes for the cross sections. Identifications by the ranges [0, 1] and [-0.5, 0.5] and [-1, 1] are all possible. Also the numbering of the cross sections can start from either end. The entity Element_of_mapping indicates which scheme is used. NOTE - The entity Maths_value is a point of intersection with the Mathematical representation schema. The way in which the nature of the Maths_value is made computer interpretable, is not within the scope of this discussion. A simple value will be a direct use of the REAL type in an AIM instantiation, rather that an entity. An activity design An analyst creates the definition or design of an activity that specifies the following information: the activity is called slow loading of 10 metre beam 3 metres from one end; the activity is performed by the 10 metre beam; the 10 metre beam is simply supported throughout; the 10 metre beam is initially unloaded and unstressed; a point load is applied 3 metres from one end, and slowly increased until it is 10 kN. Using the terminology of the ARM for this part of ISO 10303, the designer creates an Activity. ASIDE - For consistency the term Activity_design could be used. Are there opinions on this? The Activity slow loading of 10 metre beam 3 metres from one end is a class that has individual activities as members. Each individual activity that slowly applies a point load 3 metres from the end of a 10 metre beam with a 4 metres by 2 metres rectangular cross section, is a member of this class, or (to put it another way) complies with the design. The ARM instances that record: the existence of the activity design; and its relationship to the product design, are as follows: #011 = ACTIVITY_DESIGN (); #012 = ACTIVITY_ASPECT_OF_PRODUCT (#011, #001); NOTE - The entity Activity is another point of intersection with the STEP product structure backbone. There are may facts to record about the activity design which are not within the scope of this discussion, including: the identification of the activity design; the classification of the activity design as a slow loading process; the possession of the simply supported boundary conditions throughout the activity design; the possession of an applied point load that increases during the activity design; the relationship with previous activity designs. A set of states within an activity design An analysis of the beam loading activity can consider the set of states that exist during the loading process. This set of states is a State_space. There are an infinite number of states in the set. Each state in the set is identified by a real number in the range [0, 1]. The ARM instances that record: the existence of the one dimensional space of states; its relationship to the activity design as a whole; and the way in which a state within the set is identified, are as follows: #013 = STATE_SPACE (1); #014 = ACTIVITY_OR_STATE_SPACE_FOR_PRODUCT_DESIGN (#013, #011); #015 = PHYSICAL_TOPOLOGY_SPACE_PARAMETERISATION (#005, #013); NOTE - The same Maths_space is used to identify cross sections and states. There is only one set of reals, but many uses of it. An individual state within a state space The final loaded state of the 10 metre beam is a State. The ARM instances that record: the existence of the final loaded state; its relationship to the set of states within the activity design; and the identification of the state by the number 1.0, are as follows: #016 = STATE (); #017 = MEMBERSHIP_OF_STATE_SPACE (#013, #016); #018 = PHYSICAL_TOPOLOGY_SPACE_PARAMETERISATION_ELEMENT (#019, #016); #019 = MATHS_VALUE (the real 1.0); #020 = ELEMENT_OF_MAPPING (#015, #018); NOTE - The entity Maths_value is a point of intersection with the Mathematical representation schema. The way in which the nature of the Maths_value is made computer interpretable, is not within the scope of this discussion. A simple value will be a direct use of the REAL type in an AIM instantiation, rather that an entity. A set of states for features within an activity design An analysis of the beam loading activity can consider the set of states that exist during the loading process for the set of cross sections of the beam. This set of states for features is a Physical_topology_space. It can be regarded as the product (i.e. () of the space of cross sections for the beam and the space of states for the loading process. There are an infinite number of states for features in the set. Each state for a feature in the set is identified by a pair of real numbers, where the first identifies the feature and the second the state. The ARM instances that record: the existence of the two dimensional space of states for features; its relationship to the space of states and to the space of features; and the way in which a state for a feature within the set is identified, are as follows: #021 = PHYSICAL_TOPOLOGY_SPACE (2); #022 = PHYSICAL_SPACE_DESIGN_FEATURE_COMPONENT (#002, #021); #023 = PHYSICAL_SPACE_ACTIVITY_OR_STATE_COMPONENT (#013, #021); #024 = PHYSICAL_TOPOLOGY_SPACE_PARAMETERISATION (#025, #021); #025 = MATHS_SPACE (the set of real pairs with each component in [0, 1]); #026 = DERIVATION_OF_PARAMETERISATION (#024, (#027, #028)); #027 = COMPONENT_PARAMETERISATION (#022, #004); #028 = COMPONENT_PARAMETERISATION (#023, #015); NOTE - This parameterisation of the set of states for cross sections can be used to describe any property of a cross section that varies with position along the beam, and with stage in the loading process. The description can have the form of a function as follows: the domain is the set of real pairs with each component in [0, 1], which is a parameterisation of the set of states for cross sections; and the range is the numeric space that identifies the property. An individual state for a cross section The mid section of the 10 metre beam in the final loaded state is a State for a Design_surface. This State is a member of the set of states for cross sections. The ARM instances that record: the existence of the final loaded state for the mid section; its relationship to the mid-section; its relationship to the set of states for cross sections; and the identification of the state by the pair (0.5, 1.0), are as follows: #029 = STATE (); #030 = STATE_ASPECT_OF_PRODUCT (#029, #006); #031 = CLASSIFICATION (#021, #029); #032 = PHYSICAL_TOPOLOGY_SPACE_PARAMETERISATION_ELEMENT (#033, #029); #033 = MATHS_VALUE (the real pair (0.5, 1.0)); #034 = ELEMENT_OF_MAPPING (#024, #032); NOTE - Any properties calculated or measured for the mid section of the beam in the loaded state that be associated with this state for a feature. ARM Diagrams Product feature space  Figure  SEQ Figure \* ARABIC 1: Product feature space EXPRESS-G  Figure  SEQ Figure \* ARABIC 2: Product feature space UML Activity and state space  Figure  SEQ Figure \* ARABIC 3: Activity and state space EXPRESS-G  Figure  SEQ Figure \* ARABIC 4: Activity and state space UML Product activity and state space parameterisation  Figure  SEQ Figure \* ARABIC 5: Product activity and state space parameterisation EXPRESS-G  Figure  SEQ Figure \* ARABIC 6: Product activity and state space parameterisation UML dl011_v1_param_ex.doc  PAGE 6 .Az :z*H! 1&: & &$TNPPMicrosoft PowerPoint & TNPPf & &TNPP :  1:45&8&0:- "- :"-0 & &0(H-- :"-H(0 & &-- $i/j & &8` $86` & &]lTimes New Roman4-.  : 2 C & &L"Univers-.  : 2 ms & &lL"Universw -.  : 2 my & &@Lh"Univers-.  : 2 mzs & & L"Universw -.  : 2 mFtj & &L"Univers-.  : 2 me & &L"Universw -.  : 2 mm & &L"Univers-.  : 2 ms & &d]lTimes New Roman4-.  : 2 A & &z]lTimes New Roman-.  : 2 E & &j]lTimes New Roman4-.  : 2 S & &.]lTimes New Roman-.  : 2 hA & &F]lTimes New Roman4-.  : 2 R &  & &TNPP & --"Systemn-D$XP@t(T$opzL:]E 5o'cc &7&  & &$TNPPMicrosoft PowerPoint & TNPPf & &TNPP   6345& Times New Roman-.  2 Pwhole:,($ & & x- "- "-x Times New Roman!-.  72 { feature_space_for_product_design +0 5+*0&50+*0 0+05+055+ 05+%05 & &0 8&0 8-- $0 088 88(8 "--G8h888888(8G8h8888888?` ?` ?` ?` ?` ?` 000000q0P01000000q0P010((((((y(X(9((((((y(X(9((((((y(X(9((((((y(X(9((((((y(X(9((((((y(X(9 & &08-- "- HH80(9Times New Roman-.  $2 yproduct_design_arm.5+056* 06*&0600*PTimes New Roman!-.  2 fproduct_design5+056* 06*&06 &  & &`X-- "-X`(9Times New Roman-.  %2 zdesign_feature_space5+%050 +0 5++0%50++ & &-- "-(9Times New Roman!-.  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(2 c{disjoint, incomplete},(,-,(-C,,,"Arial-.  2 gusage,(-,- & &P- "-PP"Arial-.  2 ceClassificationE5000656"Arial-"Arial-.  *2 M(from ProductDesignARM)  5P@ 5560F5055@FP  & &@&@p-- "-p@P & &@x-- "-x@P"Arial-.  "2 ,DesignFeatureSpaceE6056:655 6@5506 & &@---H@ "- --' &  & &08-- "-p0P 0--' & &--p "-pP --' & & (--?? "-U5f--' & & &P - "- P & & X-- "-X "Arial-.  12 FeatureSpaceForProductDesign;555 6@5605;5 @ 5650E6056 & & ---(  "-0P--' &  & & & - "- P & & -- "- P"Arial-.  2 l0Fusion;5065 & & --- @ "-0P--' &  & &> "- $> & &--. "-P--' & &;%="Arial-.  (2 {disjoint, incomplete},(,-,(-C,,,"Arial-.  2 usage,(-,- & & 8(---?? "- _00--' & &V&VP- "-PV0 & &VX-- "-XV0"Arial-.  +2 MembershipOfFeatureSpaceP5P65 055K:655 5@6506 & &V---(V "- --' &  & &0~ "Arial-.  2 jmemberC,C,- & &0+"Arial-.   2 j* & &0bp"Arial-.  2 3jclass(,(( & &0;"Arial-.   2 j* & &~ "Arial-.  2 whole:,-, & &w+"Arial-.   2 * & &p"Arial-.  2 3class(,(( & &w;"Arial-.   2 * & &Pp- "-pP"Arial-.  2 ClassE500"Arial-"Arial-.  *2 VM(from ProductDesignARM)  5P@ 5560F5055@FP  & &>X "-- $>PP & &%"Arial-.  (2 {disjoint, incomplete},(,-,(-C,,,"Arial-.  2  membershipC,C,-(-, & &@@HH---H@ "-@@@@--' & & 8& 8- "-8 @@ & & -- "- @@"Arial-.  2  DesignPointSpaceE6056@55@5506 & & --- ` "-P--' &  & & &P - "- P & & X-- "-X "Arial-.  2 DesignCurveSpaceE6056E6 05@5605 & & ---(  "-P--' &  & & 8& 8- "-8  & & -- "- "Arial-.  "2 DesignSurfaceSpaceE6056@5 506@5506 & & --- ` "-P--' &  & & &P - "- P & & X-- "-X "Arial-.  !2 DesignVolumeSpaceE6056@55P5@6506 & & ---(  "-P--' &  & &X "- $X & &--H "-@0--' & &E"Arial-.  (2 `%{disjoint, incomplete},(,-,(-C,,,"Arial-.  2 %dimensionality,C,-(,-,( & &P---.P "---' & &V&V- "-V"Arial-.  "2 Ldimension: Integer5P550565556  & &V-- "-V"Arial-.  '2 PhysicalTopologySpace@50005;655550@6506 & &V-- "-V &  & & "-- $F & &"Arial-.  (2 P{disjoint, incomplete},(,-,(-C,,,"Arial-.  2  membershipC,C,-(-, & &FNH---H "-FF--' & &pX--Xhp  "-0 --' & &px-- "-pp@--' & & (-- "-  @--' & &--H "-@--' & &PX-- "-PP@--' & &--@ "---' & &H--HX "-@ --' & &H--H` "-@ --' & &@H-- "-@`@P--' & &."Arial-.  2 whole:,-, & &K}"Arial-.   2 @* & &."Arial-.   2 :part,- & &}"Arial-.   2 @:* & &---?? "-Ev%V--' & & H&H- "-H & & -- "- "Arial-.  32 SubsetOfPhysicalTopologySpace@5605K@60005:656560@5506 & &---p "- @--' &  & &- "-@"Arial-.  '2 3SpecialisationOfClass@56060655KE600"Arial-"Arial-.  *2 }(from ProductDesignARM)  5P@ 5560F5055@FP  & &n "-- $n & &U"Arial-.  (2 5{disjoint, incomplete},(,-,(-C,,,"Arial-.  2 `5 membershipC,C,-(-, & &@---^@ "---' & &TNPP & --zR:] HV%5(bb )F&  & &$TNPPMicrosoft PowerPoint & TNPPf & &TNPP  VB345& -Times New Roman4-.  2 whole:,($ & &08&08- "- $0088888 "--88'8H8g888888'8H8g8888?` ?` ?` ?` ?` ?` 000p0Q00000000p0Q000000yX9yX9yX9yX9yX9yX9 & &0 8H-- "- HHH8 09Times New Roman -.  2  activity_arm.0+ 0 000+OTimes New Roman4-.  2 activity0+ 0 0 &  & &08-- "-809Times New Roman -.  *2 TSactivity_or_state_space0+ 0 000+0% 0 *0&50+* & &p-- "-p9 & &(--"Systemn-(H "-@--' & & Times New Roman4-.  2 pclass$( & &p`- "-`p@ & &h---hH "---' & & Ph - "-h P  & & --x p  "-  --' & &#Times New Roman4-.  2 1memberC#C,$# & &` - "- ` Times New Roman -.  12 membership_of_activity_spaceP+P5+*&5ion within a product or stage within an activity. The modules covered by this document are: product feature space; activity and state space; and product activity and state space parameterisation. I hope to issue the first parts of these modules (i.e. Introduction, Scope, Information Requirements and ARM) according to the PDES HTML template within a few days. In the interim, the ARM diagrams in EXPRESS-G and UML are included in this document. 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(2 c{disjoint, incomplete},(,-,(-C,,,"ArialNe-.  2 Pgusage,(-,- & &P@h- "-h@P"Arialn-.  2 eClassificationE5000656"ArialNe-"Arialn-.  *2 &M(from ProductDesignARM)  5P@ 5560F5055@FP  & & H&H-- "-H & & -- "- "ArialNe-.  %2 ActivityOrStateSpace@000K @66@5605 & &---p "---' &  & &0`8(--(` "-00--' & &`(--(`p "---' & &px--??o "-oUoooo5ofoo--' & & & - "- o & & -- "- o"Arialn-.  62 \ActivityOrStateSpaceForActivity@000K @66@5605;5 @000 & & ---x 0 "-0P--' &  & &>`( "- $> ` & & --. "-`--' & &%"Arialn-.  (2 {disjoint, incomplete},(,-,(-C,,,"ArialNe-.  2 Pusage,(-,- & &p8x---??o "-oo o_oooo0o0--' & &V&V- "-Vo0 & &V-- "-Vo0"Arialn-.  -2 \(MembershipOfActivitySpaceP5P65 055K@000@5506 & &V---x0V "- --' &  & &0p"Arialn-.  2 3jmemberC,C,- & &0{"ArialNe-.   2 j* & &0>b"Arialn-.  2 jclass(,(( & &0M"ArialNe-.   2 j* & &p"Arialn-.  2 3whole:,-, & &w{"ArialNe-.   2 * & &>"Arialn-.  2 class(,(( & &wM"ArialNe-.   2 * & &P`&P - "- P & &P`(-- "-(`P"Arialn-.  2 ActivitySpace@000@5605 & &PPX---P "-PP--' &  & &P&P- "-PP & &P-- "-PP"Arialn-.  2 \ StateSpace@55@6505 & &P---x0P "---' &  & &u"Arialn-.  (2 U{disjoint, incomplete},(,-,(-C,,,"ArialNe-.  2 `8dimensionality,C,-(,-,( & &@ h- "-h @"Arialn-.  2 0Fusion;5065"ArialNe-"Arialn-.  32 &(from ProductFeatureSpaceARM)  5P@ 5560;655 5@6506@EP  & &h "-- $h & &---P "---' & &px-- "-pp--' & &x--xP "-p--' & &--X "---' & &`h- "-h`"Arialn-.  '2 S_PhysicalTopologySpace@50005;655550@6506"ArialNe-"Arialn-.  32 (from ProductFeatureSpaceARM)  5P@ 5560;655 5@6506@EP  & &-- "-"ArialNe-.  "2 DesignFeatureSpaceE6056:655 6@5506"Arialn-"ArialNe-.  32 (from ProductFeatureSpaceARM)  5P@ 5560;655 5@6506@EP  & &p (&p (-- "-( p & &p -- "- p"Arialn-.  ?2 |%PhysicalSpaceActivityOrStateComponent@50005A5506@000J @56E5P65565 & &p --- Pp "-p--' &  & &p &p - "- pp & &p -- "- pp"Arialn-.  <2 <#PhysicalSpaceDesignFeatureComponent@50005A5506E5056:655 5F5P56565 & &p ---X p "-p--' &  & &x--??pp "-5fFp--' & &@--@P "---' & &=P"Arialn-.  2 *whole:,-, & &["ArialNe-.   2 ** & &""Arialn-.  2 c*class(,(( & &k "ArialNe-.   2 ** & &PxX---??ppO "-O5OfOOOOFOpO--' & &--P "-`@--' & &=`"Arialn-.  2 #*whole:,-, & &P@X---@ "-P P--' & &"Arialn-.   2 ** & &n""ArialNe-.  2 *class(,(( & &+"Arialn-.   2 ** & &E-F"ArialNe-.  (2 `%{disjoint, incomplete},(,-,(-C,,,"Arialn-.  2 K membershipC,C,-(-, & &(h "-- $(`p & &Ppx---P "-pp--' & & X--X( "-  --' & & --(  "-@--' & & --8 "-`  --' & & P X--  "-P` P --' & &TNPP & --"::` Ho6(TT B9&  & &$TNPPMicrosoft PowerPoint & TNPPf & &TNPP   V345& (H& (H- "- $ H(H(((( "--(('(H(g(((((('(@0@O@p@@@@@@0@O@p@@@@@@0@O@p@@@@@@0@O@p@@@@@@0@O@p@@@@@@0@O@p@@@@@0      p Q 0    iH)iH)iH)iH)iH)iH)Times New Roman -.  .2 cproduct_feature_space_arm.5+056* 0 +0 5++0%50+*00+PTimes New Roman-.  *2 (physical_topology_space560%*00 0500000%60*+ & & ( "- HH( &  & & ((-- "-(( )Times New Roman -.  +2 sphysical_topology_space_560%*00 0500000%60*+0Times New Roman-.  2 parameterisation50+0P+ *+&0 06 & &P-- "-P)Times New Roman -.  !2 Tbsubset_of_mapping%65&* 00 0P05660 & & (-- "-( )Times New Roman-.  +2 sphysical_topology_space_560%*00 0500000%60*+0Times New Roman -.  +2 parameterisation_element50+0P+ *+&0 060*+P*6  & &P  -- "- P)Times New Roman-.  '2 mapping_element (ABS)P056600*+P*6  E@5  & & H& H-- $H H  "--'Hg'@@@0@O@p@@@@@@0@O@p@@@@@@0@O@p@@@@@@0@O@p@@@@@ @0 @O @p @ @ @ @ @ @0 @O @p @ @ @ 0      p Q 0       i H )      i H )  iH)iH)iH)iH))Times New Roman -.  $2 c)product_design_arm.5+056* 06*&0600*PTimes New Roman-.  +2 class_of_physical_object+0&%00 0560%*0005 ++  & &  "- HH  &  & &`-- "-`Times New Roman -.  2 +derivation_of_5++00 0500 0Times New Roman-.  2 parameterisation50+0P+ *+&0 06 & &dTimes New Roman -.  2 PBL[2,?] sources5(((,$#$ & &`-- "-`Times New Roman-.  .2 tcomponent_parameterisation+0P505+5 060*0P+ *+%0 05 & &mTimes New Roman -.  2 03 component$(B-(,$, & &h}Times New Roman-.  2 @parameterisation,($(C##$((- & &hmTimes New Roman -.  2 0$derived,$$(#- & &px&px-- $pxxpx "--8Wx ?` ?` ?` ?` ?` ?` ?`ppppqpPp1ppppppxpxpxixHx)xxxxxxixHx)xxxxxxixHx)xxxxxxixHx)xxxxxxixHx)xxxxxxixHx)xxxxxxixHx)xxTimes New Roman-.  2 4state_arm.state% 0 +00+O& 0 * & &x "- <<x &  & &a(Times New Roman -.  2 imageC((# & &--"Systemn-@ "-@` --' & &A( Times New Roman -.  2 domain,(C(- & & @X - "-X @ ` & & ( --- "-@ ` --' & &a( Times New Roman -.  2  imageC((# & & `X - "-X ` ` & & ( h---h  "-  --' & &p - "- p Times New Roman -.  2  mapping (ABS)P05660 E@6  & &`(-- "-(` & & ---   "-`--' & &`- "-`` & &--  "-0--' & &@- "-@0 & &px--   "-p0p--' & &`(- "-(`0p & &h--hxp  "---' & &8(- "-(8 & &`--`  "- --' & &xH&xH- $HxHx "--8Wx8@@@@ @?@`@@@@@@ @?@`@@@@@@ @?@`@@@@@@ @?@`@@@@@@ @?@`@@@@@@ @?@`@@@@@@ @?@`@p@p1ppppppqpPp1ppppiH)iH)iH)iH)iH)iH)iH) Times New Roman -.  '2 activity_arm.activity0+ 0 000+O0+ 0 0 & & x "- <<x  &  & &px&px-- $pxxpx "--8Wx ?` ?` ?` ?` ?` ?` ?`ppppqpPp1ppppppxpxpxixHx)xxxxxxixHx)xxxxxxixHx)xxxxxxixHx)xxxxxxixHx)xxxxxxixHx)xxxxxxixHx)xxTimes New Roman-.  92 44!product_design_arm.product_design5+056* 06*&0600*P6*065+ 05+%05 & &x "- <<x &  & &h---Xh "---' & & 0- "-0  & &`hh--h "-``@--' & &@(- "-(@`@ & &p`x-- `  "-p p--' & &8- "-8 p & &--` "-`--' & &`8- "-8` & &h--h` "-@--' & & H- "-H  & &x--xp "-`--' & &phx--h "-pp--' & &p8- "-8pp & &8 --8   "-p --' & &pP- "-Pp & &8 --8   "-p --' & &p8- "-8p & &8 --8   "-p --' & &0 @8 -- @  "-0 0 --' & &AnTimes New Roman -.  2 *domain,(C(- & &`- "-`0 & & h---h @ "---' & &@- "-@ & &` -- "- `Times New Roman -.  "2 Relement_of_mapping++P*6 00 0P05660 & &-- "- & &LhTimes New Roman-.  2 class$( & &---X "-@P--' & &X- "-XP & &8Times New Roman -.  2 memberC#C,$# & &`h&`h-- $``hhhhh "--7hXhwhhhhhh7hXh`h`h`````` `?```````` `?```````` `?```````` `?```````` `?``````A `A hI( hI( hI( hI( hI( hhPTimes New Roman-.  $2 Iproduct_design_arm.5+056* 06*&0600*PTimes New Roman -.  2 classification+0&% +0 05 & &`@8 "- <<8@` &  & &P h&P h-- $PPh h XXX "--7XXXwXXXXXX7XXX`X`X`o``````/`P`o``````/`P`o``````/`P`o``````/`P`o````` `/ `P `o ` ` ` A       ` A    y X 9  yX9yX9yX9yX9yXXhTimes New Roman-.  $2 9product_design_arm.5+056* 06*&0600*PTimes New Roman -.  2   individual550560 & &P@ 8 "- <<8 @P &  & & & -- $   "--'Hg ?` ?`ompass: families of similar products distinguished by different parameters; and families of similar activities distinguished by different parameters. This topic is not discussed here, but it is important to provide interfaces to systems such as ICAD. This topic will be addressed by other modules within the EACM. A simple example A product design A designer creates a design for a product that specifies the following information: the product is a beam; the product has a rectangular cross section; the prod ?` ?` ? `       ? `          ` A         i H )      i H )  iH)iH)iH)iH)XTimes New Roman-.  2 KLmaths_value_arm.P0 5&0006*00+PTimes New Roman -.  2  maths_valueP0 5&0006* & &  "- <<  &  & & & -- $  ((( "--(('(H(g((((((((?` ?` ?` ?` ?` ?``A iH)iH)iH)iH)iH)iH)Times New Roman-.  2 Kmaths_space_arm.P0 5&0%50++00*PTimes New Roman -.  2  maths_spaceP0 5&0%50++ & &  "- << &  & &`8&`8-- $``88hhh "--hh'hHhghhhhhhhh ?` ?` ?` ?` ?` 0000000`0A0 00000)iH)iH)iH)iH)iH)i)Times New Roman-.  02 Kproducct_feature_space_arm.5+056*+ 0 +0 5+*0%60*+00+PTimes New Roman -.  2 fusion 5&06 & &`8 "- <<8` &  & &p(&p(-- $pp((xxx "--xx7xXxwxxxxxx x x      0 O p      0 O p      0 O p      0 O p      0 O p    `A xY8xY8xY8xY8xY8xxiTimes New Roman-.  $2 [Yproduct_design_arm.5+056* 06*&0600*PTimes New Roman -.  2 class+0&% & &p "- <<p &  & &P&P-- $PPXXX "--XXX8XWXxXXXXXXXo/Po/Po/Po/Po/Poa@!yX9yX9yX9yX9yX9yXXxTimes New Roman-.  $2 ;9product_design_arm.5+056* 06*&0600*PTimes New Roman -.  *2 %specialisation_of_class%6*+0%0 0500 0+0%% & &P "- <<P &  & &9}MTimes New Roman-.  2 swhole:,($ & &x(-- "-(xX & &@H--- "-@@--' & &MTimes New Roman -.   2 #part,($ & &((- "-((@ & &---P "---' & &TNPP & --hz[:` Ho6(TT -3& F & &$TNPPMicrosoft PowerPoint & TNPPf & &TNPP   V345&- "- "-Times New Roman-.  !2 subset_of_mapping%65&* 00 0P05660 & &(--"Systemn-(@ "-0--' & &X--X@ "- --' & &X--X@ "---' & &X--X8 "---' & &@H--8H@ "-@@--' & &(--(` "-@--' & &@H--(H@ "-@@--' & &`- "-`@"ArialNe-.  2 cClassificationE5000656"ArialNe-"Arial-.  *2 (from ProductDesignARM)  5P@ 5560F5055@FP  & & H-- "-H @"Arial-.  2 pFusion;5065"Arial-"Arial-.  12 E(from ProductFeatureSpaceARM  5P@ 5560;655 5@6506@EP & & (H-- "-H(  @"Arial-.  2  MathsSpaceP550@6506"Arial-"Arial-.  %2 (from MathsSpaceARM)  5PP550@5605@FP  & &  H-- "-H @"Arial-.  2  MathsValueP550@665"Arial-"Arial-.  %2 (from MathsValueARM)  5PP550@556@EP  & &-- "-@"Arial-.  '2 S]SpecialisationOfClass@56060655KE600"Arial-"Arial-.  *2 (from ProductDesignARM)  5P@ 5560F5055@FP  & &P@ h-- "-h @P@"Arial-.  2 % Individual550655"Arial-"Arial-.  *2 &(from ProductDesignARM)  5P@ 5560F5055@FP  & &p-- "-p@"Arial-.  2 CClassE500"Arial-"Arial-.  *2 (from ProductDesignARM)  5P@ 5560F5055@FP  & &&-- "-@ & &-- "-@"Arial-.  2 lSubsetOfMapping@5605KP65555 & &---@ "-P--' &  & &--` "-0@--' & &--?? "-/Po--' & &n"ArialNe-.  2 whole:,-, & &G}"Arial-.   2 @* & &n"Arial-.   2 part,- & &}"Arial-.   2 @1* & &"Arial-.  2 cclass(,(( & &kK "Arial-.   2 * & &X"Arial-.  2 cmemberC,C,- & &kR "Arial-.   2 * & &`(&`(- "-(` & &`-- "-`"Arial-.  2 |eElementOfMapping@6P56KO65656 & &`---P` "- --' &  & & --??  "-?` --' & &@"ArialNe-.  2 zimageB-,- & &{M"Arial-.   2 * & &>b"Arial-.  2 domain,-C,, & &+{"Arial-.   2 * & & (- "-(  "Arial-.  '2 cPhysicalTopologySpace@50005;655550@6506"Arial-"Arial-.  32 U(from ProductFeatureSpaceARM)  5P@ 5560;655 5@6506@EP  & &---?? "- ?`--' & & ( (--(  "- 0 --' & &r "ArialNe-.  2 imageB-,- & & ( M"Arial-.   2  * & &>( "Arial-.  2 domain,-C,, & & +( "Arial-.   2 * & & - "- 0 "Arial-.  '2 cXClassOfPhysicalObjectE500K@60006K560"Arial-"Arial-.  *2 (from ProductDesignARM)  5P@ 5560F5055@FP  & &pPx&px-- "-xp0 & &pP-- "-Pp0 "Arial-.  2 XMappingP56565 & &p@H---p "-@0@--' &  & &PP x&P x- "-x P@ & &PP -- "- PP@"ArialNe-.  2 MappingElementP56565@5P56 & &P@ H--- P "-@@--' &  & & ( --??  "- @ _        --' & &` &P - "- P & &` X-- "-X ` "ArialNe-.  '2 _PhysicalTopologySpace@50005;655550@6506"Arial-.  *2 .EParameterisationElement@5 6P55 0556@5P65 & & ---(  "-@--' &  & &`H&PH- "-HP@ & &`HX-- "-XH`@"ArialNe-.  '2 PhysicalTopologySpace@50005;655550@6506"Arial-.  2 .5Parameterisation@5 6P55 0556 & &H---(H "---' &  & &- "-"ArialNe-.  2 0State@55"Arial-"Arial-.  2 8(from StateARM)  5P@66@EP  & &-- "-"Arial-.  2 cActivity@000"Arial-"Arial-.  "2 (from ActivityARM)  5P@000@EP  & &@h-- "-h@"Arial-.  2 e ProductDesign@ 5650E6056"Arial-"Arial-.  *2 &m(from ProductDesignARM)  5P@ 5560F5055@FP  & &0x&0x-- "-x0 & &0x-- "-x0"Arial-.  12 \[DerivationOfParameterisationE6 0565K@5 5P66 0565 & &0x---xx00 "---' &  & &@H-- "-p@@--' & &@"ArialNe-.  2 sz 1 derived,,-(-, & &@Q"Arial-.  2 cz 2..* source,(,-(- & &M"Arial-.   2 :* & &"Arial-.   2 s:1, & &@---??@@@ "-_--' & &--?? "-0Op--' & &p--p` "---' & & 0~- "- $v(v  & &K  "ArialNe-.  (2 p{disjoint, incomplete},(,-,(-C,,,"Arial-.  2 usage,(-,- & &X---X@ "-0--' & &`- "- $` & &k[]"ArialNe-.  (2 {disjoint, incomplete},(,-,(-C,,,"Arial-.  2 nature,--- & &0`8---` "-00--' & &`t- "- $lXl00 & &{"ArialNe-.  (2 `{disjoint, incomplete},(,-,(-C,,,"Arial-.  2 usage,(-,- & &h---h@ "-@--' & &p- "- $p & &kkm"ArialNe-.  (2 {disjoint, incomplete},(,-,(-C,,,"Arial-.  2 0nature,--- & & (h---h "-@  --' & &jP- "- $H j & &kkm"ArialNe-.  (2 {disjoint, incomplete},(,-,(-C,,,"Arial-.  2 0 membershipC,C,-(-, & &PX---XP` "-PP--' & &0d- "- $\(\P & &K"ArialNe-.  (2 P{disjoint, incomplete},(,-,(-C,,,"Arial-.  2 membershipC,C,-(-, & &7-- "- $7||`P & &{ "Arial-.  (2 `{disjoint, incomplete},(,-,(-C,,,"Arial-. 'uct has a length of 10 metres, depth of 4 metres and breadth of 2 metres; the design is called 10 metre 4(2 rectangular beam. Using the terminology of the ARM for this part of ISO 10303, the designer creates a Product_design. The Product_design 10 metre 4(2 rectangular beam is a class that has individual beams as members. Each individual beam that is 10 metres long and that has a 4 metres by 2 metres rectangular cross section is a member of this class, or (to put it another way) complies with the design. The ARM instance corresponding to this product design is as follows: #001 = PRODUCT_DESIGN (); NOTE - The entity Product_design is the principal point of intersection with the STEP product structure backbone. There are may facts to record about the product design which are not within the scope of this discussion, including: the identification of the design; the classification of the design as a beam with a rectangular cross section; the possession of the length, breadth and depth properties; the relationship with previous designs. A set of features within a product design An analysis of the 10 metre beam can consider the set of cross sections within it. This set of cross sections is a Design_surface_space. Each cross section is a surface of matter more or less normal to the reference axis of the beam. These surfaces of matter change position and shape as the beam deforms. It is usually convenient to choose the surfaces of matter so that they are flat and normal to the reference axis of the beam\'zkl @ y !W!X!!!"<"="\""""##p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p   4 7 4 #!#P#####-%.%e%=&>&&&''''H((((((?)}))*5*e*f*5+6+r+p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p  4!r++<,=,e,,,--&-c----..!.N.r.../////////00p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p   4 7 4000U0o0p0r0s000001213151611111112222bCuC\\\\\\\========p "p p p p p p p p p p p p Vp p p p Vp p p p p p p p xp p p +K@Normala f`f Heading 1B < 4. U]ckd`d Heading 2B < 4 UV]c``` Heading 3B < 4.Ucb`b Heading 4B < 4.UVc^`^ Heading 5@ < 4.]c``` Heading 6@ < 4.V]c\`\ Heading 7@ < 4.]^`^ Heading 8@ < 4.V]` `` Heading 9@ < 4.V]c"A@"Default Paragraph FontB` Body Textx "@ CaptionxxU @ Header 9r  @" Footer 9r )@1 Page NumberPARAMETERISATIONPARAMETERISATION      11.AN:J_EN;6o'XX 6'9&  & &$TNPPMicrosoft PowerPoint & TNPPf & &TNPP   345&Times New RomanX-.  2 Lwhole:,($ & & x- "- "-x Times New Roman-.  72 { feature_space_for_product_design +0 5+*0&50+*0 0+05+0&x--?? "- (Ihp--' & &u--u` "---' & & 0~- "- $v(v  & &N  "Arial-.  (2 p{disjoint, incomplete},(,-,(-C,,,"Arial -.  2 usage,(-,- & &---x0 "---' & &- "- $ & &v"Arial-.  (2 |W{disjoint, incomplete},(,-,(-C,,,"Arial -.  2 Wusage,(-,- & & (--- "-  --' & &P- "- $H  & &n  "Arial-.  (2 {disjoint, incomplete},(,-,(-C,,,"Arial -.  2  membershipC,C,-(-, & &7-- "- $7||` & &y "Arial-.  (2 \{disjoint, incomplete},(,-,(-C,,,"Arial -.  2  membershipC,C,-(-, & &`uh---u "-`#`--' & &d--(d "---' & &0d8--d "-00--' & &d--xd0 "---' & &TNPP & --20October2123456 23 \\\\\\\\\\\\=======================uPuDuDxuDBuD"====/\ !!    !!  m *,-Z--./ 2G8   1JKLS_dw<ZGXiSt u D l m l|~"#6<=K=k,- a !>!?!""$%%$'`'1((7)8)** + ++I+m+++,,,,,,,,----s-t-v-w----.6.7.9.:....../p p p p Kp MMMMp p p p p p p p Kp p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p xp p p p p p p p p p p p p p  12FGRoot Entry F^cSE DCompObjnWordDocumentF[ObjectPool 5(T 5(T      !"#$%G+,-./01WAC)HIJKLMNOPQRSTUVWXYZ[\]^_`abcdghijklmnopqrstuvwxyz{|}~  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstvwxyz{|}~SummaryInformation(` th a rectangular cross section. Victoria BaileyVictoria Bailey@d@Y@4@8CMicrosoft Word 6.08 FMicrosoft Word 6.0 Document MSWordDocWord.Document.69q_Oh+'00   4X |  t (of)_S 64 _t (ISO)_S 64 _t (C:\MSOFFICE\WINWORD\TEMPLATE\NORMAL.DOTThe Parametric_product_space 10 metre rectangular beams is the set of beams designs of length 10 metres wiܥe= \e2[.XnXnBBBBBGBpOpOpO OO:GZCOpnPPPPPPP R"R"R"R&HRS|UZT>[U BP"$ PPPPUPBBPO8Times New RomanX-.  2 class$( & &ph- "-hp & &u---Hu "---' & &D- "-D & &(--(   "-?--' & &Times New RomanX-.  2 F1memberC#C,$# & &`x- "-x`?Times New Roman-.  02 membership_of_feature_spaceP+P5+*&5500 0 +06*+0%60*+ & &d-- "-d? & &a---ha "-B--' & &<Times New RomanX-.  2 class$( & &h- "-h & &u---hu "---' & &T- "-T & & ((--(  "- ? --' & & , & , - $  , , $$($ "--G$h$$$$$$($G$h$$$$$$$'Hg'Hg'Hg'Hg'Hg'Hg$$$$$$$`$A$ $$$$$$`$A$((((((}(\(=((((((}(\(=((((((}(\(=((((((}(\(=((((((}(\(=((((((}(\(=? 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" j k W.l8|Y~"#6M<= Ksy(<=\+k,-V Q a b s !>!?!"""##%$&$$$%X%%%%%&Z&&&$'`'a'0(1(m((7)8)`)))**!*^**** + ++I+m+++,,,,,,,,,----Y-s-t-v-w-----.6.7.9.:......//oft PowerPoint & TNPPf & &TNPP J l145&l- "- "-l"Arial -.  -2 cProductSpecificationOrSet@ 5650@5600565K @5"Arialn-.  <2 #(from ProductSpecificationOrSetARM)  5P@ 5560A5500556J @6@EP  & &x "-- $x & &--"Systemn-h  "-C--' & &*<<"Arialn-.  (2 c{disjoint, incomplete},(,-,(-C,,,"Arial -.  2 gusage,(-,- & &L- "-LC"Arialn-.  2 c}ClassificationE5000656"Arial -"Arialn-.  <2 m#(from ProductSpecificationOrSetARM)  5P@ 5560A5500556J @6@EP  & &@l-- "-l@C & &@|-- "-|@C"Arial -.  "2 .DesignFeatureSpaceE6056:655 6@5506 & &A---HA "- --' & &08-- "-~0C 0--' & &--p "-~C --' & & (--?? "-R2c--' & &L - "- L & & \-- "-\ "Arial -.  12 FeatureSpaceForProductDesign;555 6@5605;5 @ 5650E6056 & & ---(  "->C--' & & - "- C & & -- "- C"Arial -.  2 n0Fusion;5065 & & --- @ "->C--' & &> "- $> & &--. "-C--' & &<&<"Arial -.  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"2 DesignSurfaceSpaceE6056@5 506@5506 & & --- ` "-^--' & &L - "- L & & \-- "-\ "Arialn-.  !2 DesignVolumeSpaceE6056@55P5@6506 & & ---)  "-^--' & &X "- $X & &--H "-N#--' & &F"Arialn-.  (2 `'{disjoint, incomplete},(,-,(-C,,,"Arial -.  2 'dimensionality,C,-(,-,( & &U---.U "---' & &L- "-L"Arial -.  "2 Ldimension: Integer5P550565556  & &L-- "-L"Arialn-.  '2 PhysicalTopologySpace@50005;655550@6506 & &L-- "-L & & "-- $F & &"Arial -.  (2 P{disjoint, incomplete},(,-,(-C,,,"Arialn-.  2  membershipC,C,-(-, & &FND---D "-FF--' & &uT--Thu  "-# --' & &px-- "-pp3--' & & (-- "-  3--' & &--H "-3--' & &PX-- "-PP3--' & &--@ "-v--' & &D--DX "-N --' & &D--D` "-N --' & &@H-- "-@n@C--' & &/"Arialn-.  2 whole:,-, & &J|"Arial -.   2 @* & &/"Arialn-.   2 :part,- & &|"Arial -.   2 @:* & &---?? "-Bs"S--' & &H- "-H & & -- "- "Arial -.  32 SubsetOfPhysicalTopologySpace@5605K@60005:656560@5506 & &---p "-.3--' & &P- "-P3"Arial -.  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(2 7{disjoint, incomplete},(,-,(-C,,,"Arial -.  2 `7 membershipC,C,-(-, & &E---^E "---' & &TNPP & --S:_ H$6(WW i)F&  & &$TNPPMicrosoft PowerPoint & TNPPf & &TNPP  V345& ,Times New RomanO-.  2 whole:,($ & &08&08- "- $0088888 "--88'8H8g888888'8H8g8888;\{;\{;\{;\{;\{;\{000x0Y08000000x0Y080000 `A `A `A `A `A `A & &0!8K-- "- HHK8!0ATimes New Roman -.  2  activity_arm.0+ 0 000+OTimes New RomanO-.  2 activity0+ 0 0 &  & &08-- "-80ATimes New Roman -.  *2 RSactivity_or_state_space0+ 0 000+0% 0 *0&50+* & &p-- "-pA & &$--"Systemn-$H "-3--' & & Times New Roman -.  2 pclass$( & &p`- "-`p3 & &h---hH "---' & &Ll - "-l L & & --x p  "-  --' & &"Times New Roman -.  2 1memberC#C,$# & &`- "-` Times New RomanO-.  12 membership_of_activity_spaceP+P5+*&5500 00+ 0 00%60*+ & &-- "- & &$---$h "-3--' & & Times New RomanO-.  2 pclass$( & &`- "-`3 & &h---hh "---' & &\,- "-,\ & & (--  "-  --' & &,&,- $,,$$$ "--$ $+$L$k$$$$$ $+$L$k$$$$+Lk +Lk +Lk +Lk +Lk +Lk $$$|$]$<$$$$$$|$]$<$$$$uT5uT5uT5uT5uT5uT5 Times New RomanO-.  92 W!product_specification_or_set_arm.5+056* 0&5+* *0 0500+0%+ 00*PTimes New Roman -.  2 classification+0&% +0 05 & &$,L "- GGL,$ &  & &GqTimes New RomanO-.   2 010 & & qTimes New Roman -.   2 0P 10 & &(l&(l-- $l(l($$$ "--$$$$'$H$g$$$$$$'$H$d$d$d'dHdgdddddd'dHdgdddddd'dHdgdddddd'dHdgdddddd'dHdgdddddd'dHdgdddddd d ] <      | ] <      uT5uT5uT5uT5uT5uT55Times New RomanO-.  .2 Uproduct_feature_space_arm.5+056* 0 +0 5++0%50+*00+PTimes New Roman -.  *2 &physical_topology_space560%*00 0500000%60*+ & &(  "- HH ( &  & &p &p -- $pp xxx "--xxxxx(x/xHxOxhxoxxxxxxxxxxx(x/xHxOxhxoxxx|#<C\c|#<C\c|#<C\c|  # < C \ c |           # < C \ c |      x q X Q 8 1           x q X Q 8 1          y ` Y @ 9            y ` Y @ 9    y`Y@9 y`Y@9 y`Y@9 y5Times New RomanO-.  .2 product_feature_space_arm.5+056* 0 +0 5++0%50+*00+PTimes New Roman -.  2 fusion 5&06 & &p! 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B2 'physical_space_design_feature_component560%*00%60*+05+%050 +0 5++0*0P605+5  & &,Times New RomanO-.  2 class$( & &l-- "-l89 & &(---(H "- --' & &p\- "-\p & &T--TH "->--' & &\Times New RomanO-.  2 class$( & &a  --- a  "- --' & & l <- "-<l  & &a  -- a  "- --' & & |l - "-l |  & &a  --8 0a  "- --' & &8- "-8 & &4<-- "-<4 & &--  "-R --' & &p(x--(  "-pp/--' & &}'QTimes New RomanO-.   2 10 & &00Times New Roman -.  2 'whole:,($ & &|- "-|p/ & &$---$X "---' & &|\- "-\| & &X--XX "-B--' & &0XTimes New Roman -.  2 'whole:,($ & &TNPP & ---A:]d=VQ%5"XX  ?&J@ , & &$TNPPMicrosoft PowerPoint & TNPPf & &TNPP @J  B345&@h- "- "-h@"Arial-.  2 Activity@000"Arial -"Arial-.  "2 &(from ActivityARM)  5P@000@EP  & &x`( "-- $`x  & &%--"Systemn-h%  "-n--' & &*"Arial-.  (2 c{disjoint, incomplete},(,-,(-C,,,"Arial -.  2 Pgusage,(-,- & &P@h- "-h@P"Arial-.  2 ClassificationE5000656"Arial -"Arial-.  <2 &o#(from ProductSpecificationOrSetARM)  5P@ 5560A5500556J @6@EP  & &H-- "-H & & -- "- "Arial -.  %2 ActivityOrStateSpace@000K @66@5605 & &---p "---' & &0e8(--(e "-00--' & &e(--(ep "---' & &px--??o "-oRoooo2ocoo--' & & - "- o & & -- "- o"Arial-.  62 ^ActivityOrStateSpaceForActivity@000K @66@5605;5 @000 & & ---x 0 "->C--' & &>`( "- $> ` & &%--.% "-n--' & &&"Arial-.  (2 {disjoint, incomplete},(,-,(-C,,,"Arial -.  2 Pusage,(-,- & &p4x---??o "-oo%odoooo,o,--' & &V- "-Vo, & &V-- "-Vo,"Arial-.  -2 ^(MembershipOfActivitySpaceP5P65 055K@000@5506 & &S---x0S "---' & &1o"Arial-.  2 3jmemberC,C,- & &1|"Arial -.   2 j* & &1?a"Arial-.  2 jclass(,(( & &1L"Arial -.   2 j* & &o"Arial-.  2 3whole:,-, & &x|"Arial -.   2 * & &?"Arial-.  2 class(,(( & &xL"Arial -.   2 * & &P - "- P & &P`,-- "-,`P"Arial-.  2 ActivitySpace@000@5605 & &UPX---U "-PP--' & &P&P- "-PP & &P-- "-PP"Arial-.  2 \ StateSpace@55@6505 & &U---x0U "---' &  & &v"Arial-.  (2 W{disjoint, incomplete},(,-,(-C,,,"Arial -.  2 `:dimensionality,C,-(,-,( & &@ h- "-h @"Arial-.  2 0Fusion;5065"Arial -"Arial-.  32 &(from ProductFeatureSpaceARM)  5P@ 5560;655 5@6506@EP  & &h "-- $h & &---P "---' & &px-- "-pp--' & &x--xP "-z--' & &--X "- --' & &<- "-<"Arial-.  '2 PhysicalTopologySpace@50005;655550@6506"Arial -"Arial-.  32 (from ProductFeatureSpaceARM)  5P@ 5560;655 5@6506@EP  & &,-- "-,"Arial -.  "2 sDesignFeatureSpaceE6056:655 6@5506"Arial-"Arial -.  32 (from ProductFeatureSpaceARM)  5P@ 5560;655 5@6506@EP  & &p\ -- "- \p & &p h-- "-h p"Arial-.  ?2 %PhysicalSpaceActivityOrStateComponent@50005A5506@000J @56E5P65565 & &u ---h u "-c--' & &p@ - "- @pc & &p L-- "-L pc"Arial-.  <2 #PhysicalSpaceDesignFeatureComponent@50005A5506E5056:655 5F5P56565 & &ut |--- u "-ttc--' & &1--l$1 "---' & &08-- "-v0c0--' & &13a"Arial-.  2 jclass(,(( & &1@"Arial -.   2 j* & &E---8E "- --' & &060-170"Arial-.  (2 {disjoint, incomplete},(,-,(-C,,,"Arial -.  2 = membershipC,C,-(-, & &W "-- $W & &---L "-N#--' & & --( "-  --' & & --(  "- ;--' & & , 4-- "-,j , --' & &  -- t "-j  --' & &0|8--??tt/ "-//1/p////P/--' & &|--$ "-v|c|--' & &}3"Arial-.  2 whole:,-, & &T"Arial -.   2 * & &1---??1 "-Pq1--' & &1--(1 "---' & &018--1 "-00--' & &1a!"Arial-.  2 jclass(,(( & &1"Arial -.   2 H* & &x---??pp "--l L--' & &1--(1 "---' & &}!"Arial-.  2 whole:,-, & &"Arial -.   2 4* & &---?? "---' & &TNPP & --o:`CQo6&TT m79&J  & &$TNPPMicrosoft PowerPoint & TNPPf & &TNPP J 6345&L$&L$- "- $L$$L$$T$ "--s$$$$$$3$T$s$$$$$$Cd$Cd$Cd$Cd$Cd$CdmL- mTTTTTTuTTT5TTTTTTuTTT5TTTTTTuTTT5TTTTTTuTTT5TTTTTTuTTT5TTTTTTuTTT5Times New Roman4-.  .2 product_feature_space_arm.5+056* 0 +0 5++0%50+*00+PTimes New Roman-.  *2 f$physical_topology_space560%*00 0500000%60*+ & &}$ "- II$} &  & &L,\-- "-\,LT5Times New Roman4-.  +2 physical_topology_space_560%*00 0500000%60*+0Times New Roman-.  2 &parameterisation50+0P+ *+&0 06 & & -- "- T5Times New Roman4-.  !2 subset_of_mapping%65&* 00 0P05660 & & L-- "-L T5Times New Roman-.  +2 physical_topology_space_560%*00 0500000%60*+0Times New Roman4-.  +2 parameterisation_element50+0P+ *+&0 060*+P*6  & &T &T -- $T T\ "--{;\{$Cd$Cd$Cd$Cd $ C d      $ C d       u T 5      u \ \ \ \u \T \5 \ \ \ \ \ \u \T \5 \ \\\\\u\T\5\\\\\\u\T\5\\\\\\u\T\5\\\\\\u\T\5\\T5Times New Roman-.  92 !product_specification_or_set_arm.5+056* 0&5+* *0 0500+0%+ 00*PTimes New Roman4-.  +2 nclass_of_physical_object+0&%00 0560%*0005 ++  & & "- II  &  & &L\-- "-\L\Times New Roman-.  2 derivation_of_5++00 0500 0Times New Roman4-.  2 parameterisation50+0P+ *+&0 06 & &X0Times New Roman-.  2 7L[2,?] sources5(((,$#$ & &X@Times New Roman4-.  2 derived,$$(#- & &x`&x`-- $`x`x "--/Po/PXXXX X?X`XXXXXX X?X`XXXXXX X?X`XXXXXX X?X`XXXXXX X?X`XXXXXX X?X`XXXXXX X?X`XpXpIp(p ppppphpIp(pppiH)iH)iH)iH)iH)iH)iH)\Times New Roman-.  2 state_arm.state% 0 +00+O& 0 * & &8x0 "- ;;0x8 &  & &)XTimes New Roman4-.  2 imageC((# & &1X--"Systemn-X1@ "-o--' & &h) Times New Roman4-.  2 domain,(C(- & & T <- "-subset_of_mapping%65&* 00 0P05660 & &,t4-- "-4t,6 & &, t-- "-t ,6"Arial-.  2 LSubsetOfMapping@5605KP65555 & &1p--"Systemn-p\1 "---' &  & &--d "->3--' & &)--??) "-Hi)Hi)--' & &0'"Arial-.  2 isuperset(,-,(- & &D4"Arial -.   2 }* & &@'"Arial-.  2 ysubset(,-(, & &4"Arial -.   2 -* & &@p "Arial-.  2 yclass(,(( & &@"Arial -.   2 `y* & & "Arial-.  2 ImemberC,C,- & &"Arial -.   2 `I* & &`(&`(- "-(`) & &`-- "-`)"Arial-.  -2 ~ElementOfParameterisation@6P56K@5 5P66 0565 & &e---Pe "-.--' &  & &!--??! "-@a!@ax!--' & &="Arial-.  2 vimageB-,- & &~}"Arial -.   2 A* & &p]"Arial-.  2 domain,-C,, & &(~"Arial -.   2 * & & (- "-( !"Arial-.  '2 cPhysicalTopologySpace@50005;655550@6506"Arial -"Arial-.  32 U(from ProductFeatureSpaceARM)  5P@ 5560;655 5@6506@EP  & &---?? "-%De--' & & ( h--h  "-  --' & &o "Arial-.  2 imageB-,- & & + }"Arial -.   2 A * & &p# "Arial-.  2 domain,-C,, & & (+ "Arial -.   2 * & & - "-  "Arial-.  '2 cClassOfPhysicalObjectE500K@60006K560"Arial -"Arial-.  <2 S#(from ProductSpecificationOrSetARM)  5P@ 5560A5500556J @6@EP  & & p$ x---??  o "-o$ oE od o o o o o o o --' & & & - "- o & & -- "- o "Arial-.  '2 _PhysicalTopologySpace@50005;655550@6506"Arial -.  *2 EParameterisationElement@5 6P55 0556@5P65 & & --- < "-3--' &  & & D<&D<- "-<D3 & & D-- "-D 3"Arial-.  '2 WPhysicalTopologySpace@50005;655550@6506"Arial -.  2 1Parameterisation@5 6P55 0556 & &D---Dh "-s--' &  & & - "- s"Arial-.  2 State@55"Arial -"Arial-.  2 (from StateARM)  5P@66@EP  & & -- "- s"Arial -.  2 cActivity@000"Arial-"Arial -.  "2 (from ActivityARM)  5P@000@EP  & & @h-- "-h@ s"Arial-.  -2 #ProductSpecificationOrSet@ 5650@5600565K @5"Arial -"Arial-.  <2 &+#(from ProductSpecificationOrSetARM)  5P@ 5560A5500556J @6@EP  & &0tx&00x-- "-x00s & &0tx@-- "-@xt0s"Arial -.  12 [DerivationOfParameterisationE6 0565K@5 5P66 0565 & &5dtl--- t5 "-dd--' &  & &@!H -- ! "-@*@--' & &=?"Arial-.  2 v 1 derived,,-(-, & &=L/"Arial -.  2 v 2..* source,(,-(- & &E---??EEE "-d--' & PPPPBPBP RBDXBrBBBBP RPP Product and activity parameterisation A usage of the EACM AuthorDavid LealDate14th September 1999Version1.0CirculationDerek Pashley, Chris Vaughan, Steve Chilcott, PDES Inc. EA team The production of this document was funded      !"#$%&'(2+,-/01 3456789:;<=>?@ABCDEFOHIJKLMN*XYZ[\]^G by Rolls-Royce plc as a contribution to tasks 3.46 Engineering Analysis and 3.47 Application Module Development within the PDES Inc. Work Program. Introduction Purpose of the document This document explains the initial set of ARM models for the EACM, which cover the internal parameterisation of a product or activity - i.e. how points or features within a product or states within an activity are identified. This parameterisation can then be used to describe variations of properties with respect to position within a product or stage within an activity. The modules covered by this document are: product feature space; activity and state space; and product activity and state space parameterisation. I hope to issue the first parts of these modules (i.e. Introduction, Scope, Information Requirements and ARM) according to the PDES HTML template within a few days. In the interim, the ARM diagrams in EXPRESS-G and UML are included in this document. The approach used within this document can be extended to encompass: families of similar products distinguished by different parameters; and families of similar activities distinguished by different parameters. This topic is not discussed here, but it is important to provide interfaces to systems such as ICAD. This topic will be addressed by other modules within the EACM. A simple example A product design A designer creates a design for a product that specifies the following information: the product is a beam; the product has a rectangular cross section; the product has a length of 10 metres, depth of 4 metres and breadth of 2 metres; the design is called 10 metre 4(2 rectangular beam. Using the terminology of the ARM for this part of ISO 10303, the designer creates a Product_design. The Product_design 10 metre 4(2 rectangular beam is a class that has individual beams as members. Each individual beam that is 10 metres long and that has a 4 metres by 2 metres rectangular cross section is a member of this class, or (to put it another way) complies with the design. The ARM instance corresponding to this product design is as follows: #001 = PRODUCT_DESIGN (); NOTE - The entity Product_design is the principal point of intersection with the STEP product structure backbone. There are may facts to record about the product design which are not within the scope of this discussion, including: the identification of the design; the classification of the design as a beam with a rectangular cross section; the possession of the length, breadth and depth properties; the relationship with previous designs. A set of features within a product design An analysis of the 10 metre beam can consider the set of cross sections within it. This set of cross sections is a Design_surface_space. Each cross section is a surface of matter more or less normal to the reference axis of the beam. These surfaces of matter change position and shape as the beam deforms. It is usually convenient to choose the surfaces of matter so that they are flat and normal to the reference axis of the beam&x--?? "- (Ihp--' & &u--u` "---' & & 0~- "- $v(v  & &N  "Arial-.  (2 p{disjoint, incomplete},(,-,(-C,,,"Arial -.  2 usage,(-,- & &---x0 "---' & &- "- $ & &v"Arial-.  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