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Axiomatic Design Tool version 1.0 by Kummailil. Version: 1.0. File name: Axiom.exe. Categories. Windows. Log in / Sign up. Windows › Education › Science › Axiomatic Design Tool › 1.0. Axiomatic Design Tool 1.0. Request. Download. link when available. Axiomatic Design Tool 1.0 Free Choose the most Axiomatic Design Tool, Free Download by Kummailil. Axiomatic Design Tool download Programmers can use this app to easily create hierarchical lists for functional, design or process domains

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Presentation on theme: "1Weaver Innovation Tool: Axiomatic Design (A Brief Introduction) Jonathan Weaver UDM ME Department."— Presentation transcript: 1 1Weaver Innovation Tool: Axiomatic Design (A Brief Introduction) Jonathan Weaver UDM ME Department 2 2Weaver References Nam P. Suh, The Principles of Design, Oxford Series on Advanced Manufacturing, 1990. K. Yang & B. El-Haik, Design for Six Sigma: A Roadmap for Product Development, McGraw Hill, 2003. Deo & Suh, Axiomatic Design of Customizable Automotive Suspension, Proceedings of ICAD2004, ICAD-2004-38. Lui & Soderborg, Improving an Existing Design Based on Axiomatic Design Principles, Proceedings of ICAD2000, ICAD-055. 3 3Weaver Axiomatic Design Most principally based on the work of Nam Suh at MIT The ultimate goal of Axiomatic Design is to establish a science base for design and to improve design activities by providing the designer with a theoretical foundation based on logical and rational thought processes and tools. Other goals: –To make human designers more creative –Reduce the random search process –Minimize the iterative trial-and-error process –Determine the best designs among those proposed –Endow the computer with creative power through the creation of the science base for the design field 4 4Weaver Axiomatic Design (Cont.) Complete coverage of Axiomatic design is a very long endeavor; here we’ll just introduce it Axioms are general principles or self-evident truths that cannot be derived or proven to be true except that there are no counter-examples or exceptions. Two axioms were identified by examining the common elements that are always present in good designs, be it a Product, process, or systems design. They were also identified by examining actions taken during the design stage that resulted in dramatic improvements. 5 5Weaver Axiomatic Design (Cont.) The two Axioms: –Independence Axiom: The independence of Functional Requirements (FRs) must be always maintained, where FRs are defined as the minimum number of independent functional requirements that characterize the design goals. –Information Axiom: Among those designs that satisfy the Independence Axiom, the design that has the smallest information content is the best design. 6 6Weaver Axiomatic Design (Cont.) Violating Axiom 1 results in a coupled design Violating Axiom 2 results in system complexity 7 7Weaver Axiomatic Design (Cont.) The Independence Axiom is often misunderstood. Many people confuse between the functional independence with the physical independence. The Independence Axiom requires that the functions of the design be independent from each other, not the physical parts. The second axiom would suggest that physical integration is desirable to reduce the information content, if the functional independence can be maintained. Both axioms can be illustrated using a faucet as an example. 8 8Weaver Axiomatic Design (Cont.) Let’s discuss the ‘classic’ faucet design problem from the perspective of axiomatic design –What are the two principle functional requirements? –What are the two principle design parameters? –Is it axiomatic? 9 9Weaver Axiomatic Design (Cont.) How about now? 10 10Weaver Axiomatic Design (Cont.) Matrices can be an effective way to understand the mapping between functional parameters and design parameters For the faucet design examples: 11 11Weaver Axiomatic Design (Cont.) In

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2092 Accesses AbstractThe basic concepts and the framework of Axiomatic Design (AD) provide powerful tools in the design of products and product families, especially for visualizing the design goals and improving the design process. When learning how to apply AD, however, nearly a half of the uninitiated designers like students may need to devote much effort to advance a sufficient number of different design concepts in terms of functional requirements (FRs) and/or design parameters (DPs), which is often done in abstract phrases like the first step in AD. The instructors must encourage them to think freely and squeeze out all the FRs and DPs they have in their minds and must guide them to integrate FRs functionally and DPs physically to obtain the desired design matrix. Similar content being viewed by others ReferencesNakao M, Iino K (2018) Students list FRs chronologically and DPs spatially, and need to integrate FRs functionally and DPs physically. In: Puik E, Foley JT, Cochran D, Betasolo M (eds) 12th international conference on axiomatic design (ICAD). MATEC web of conferences, Reykjavík, Iceland Google Scholar Suh NP (2001) Axiomatic design—advances and applications. Oxford University Press Google Scholar Thompson MK (2013) Improving the requirements process in axiomatic design theory. In: Annals of the CIRP, 1, vol 62, pp 115–118 (2013) Google Scholar Download references Author informationAuthors and AffiliationsThe University of Tokyo, Tokyo, JapanMasayuki Nakao & Kenji IinoAuthorsMasayuki NakaoYou can also search for this author in PubMed Google ScholarKenji IinoYou can also search for this author in PubMed Google. Axiomatic Design Tool version 1.0 by Kummailil. Version: 1.0. File name: Axiom.exe. Categories. Windows. Log in / Sign up. Windows › Education › Science › Axiomatic Design Tool › 1.0. Axiomatic Design Tool 1.0. Request. Download. link when available. Axiomatic Design Tool 1.0 Free Choose the most Axiomatic Design Tool, Free Download by Kummailil. Axiomatic Design Tool download Programmers can use this app to easily create hierarchical lists for functional, design or process domains

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The ideal case of total independence, the matrix mapping functional requirements to design parameters is square and diagonal, the design is called uncoupled and each design parameter can be manipulated to meet a particular functional requirement without affecting the other parameters or functions Design Parameters DP1DP2DP3DP4 Functions FR1X FR2 X FR3 X FR4 X 12 12Weaver Axiomatic Design (Cont.) In the decoupled case, the matrix is upper/lower triangular. The design may be treated as uncoupled if the design parameters are fixed in the order dictated by the matrix Design Parameters DP1DP2DP3DP4 Functions FR1X FR2XX FR3XXX FR4XXXX 13 13Weaver Axiomatic Design (Cont.) In the coupled case (highly undesirable), the matrix is populated above and below the main diagonal (possibly completely populated). There is an innovation opportunity with such designs if they can be decoupled! Design Parameters DP1DP2DP3DP4 Functions FR1XXXX FR2XXXX FR3XXXX FR4XXXX 14 14Weaver Axiomatic Design (Cont.) Consult Nam Suh’s work for details on the conceptualization process of mapping functional requirements to physical solutions, and ultimately to processes. 15 15Weaver Automotive Suspension Example (based on Deo & Suh’s paper) Problem: comfort/handling tradeoffs involving damping and stiffness of suspension Active suspensions have drawbacks: power, size weight, cost This paper looks at adaptive systems wherein some design parameters are changed in response to some information A novel adaptive suspension architecture is proposed which allows independent control of stiffness, damping and ride height 16 16Weaver Prior Art on Variable Stiffness and Ride Height A typical solution is an air spring, but as shown below, Is there not to be an axiomatic truth, but instead each speck of data must be slowly inhaled while carefully performing a deep search inside oneself to find the true metaphysical sense... Hi!I did find in my initial try–out of the DEX software that it's hopeless trying to use it on a 15.6 inch lappy as all the fancy "Office–Style" ribbons and all the other eye–candy, etc., take up too much space!It did seem to run OK without many of the graphical glitches that plagued early versions of his software tho!My friend's treated me to a replacement desktop monitor for Christmas, so I'll transfer my Design Spark, DEX, Splan, etc., onto the Optiplex I got to do all my PCB work on and see how it goes then!I'm going to try the "Poptronix" Audio Sweep Generator Project from October 1973 on the DEX program – this was only offered as a kit with no pcb layouts given in the original article!Chris Williams Logged It's an enigma that's what it is!! This thing's not fixed because it doesn't want to be fixed!! Print Search Pages: Prev 1 ... 3 4 5 6 7 [8] All Go Up

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To introduce symbolic “geometric scenes” that have symbols representing constructs such as points, and then to define geometric objects and relations in terms of them. For example, here’s a geometric scene representing a triangle a, b, c, and a circle through a, b and c, with center o, with the constraint that o is at the midpoint of the line from a to c: &#10005GeometricScene[{a,b,c,o},{Triangle[{a,b,c}],CircleThrough[{a,b,c},o],o==Midpoint[{a,c}]}]On its own, this is just a symbolic thing. But we can do operations on it. For example, we can ask for a random instance of it, in which a, b, c and o are made specific: &#10005RandomInstance[GeometricScene[{a,b,c,o},{Triangle[{a,b,c}],CircleThrough[{a,b,c},o],o==Midpoint[{a,c}]}]]You can generate as many random instances as you want. We try to make the instances as generic as possible, with no coincidences that aren’t forced by the constraints: &#10005RandomInstance[GeometricScene[{a,b,c,o},{Triangle[{a,b,c}],CircleThrough[{a,b,c},o],o==Midpoint[{a,c}]}],3]OK, but now let’s “play Euclid”, and find geometric conjectures that are consistent with our setup: &#10005FindGeometricConjectures[GeometricScene[{a,b,c,o},{Triangle[{a,b,c}],CircleThrough[{a,b,c},o],o==Midpoint[{a,c}]}]]For a given geometric scene, there may be many possible conjectures. We try to pick out the interesting ones. In this case we come up with two—and what’s illustrated is the first one: that the line ba is perpendicular to the line cb. As it happens, this result actually appears in Euclid (it’s in Book 3, as part of Proposition 31)— though it’s usually called Thales’s theorem.In 12.0, we now have a whole symbolic language for representing typical things that appear in Euclid-style geometry. Here’s a more complex situation—corresponding to what’s called Napoleon’s theorem: &#10005RandomInstance[ GeometricScene[{"C", "B", "A", "C'", "B'", "A'", "Oc", "Ob", "Oa"}, {Triangle[{"C", "B", "A"}], TC == Triangle[{"A", "B", "C'"}], TB == Triangle[{"C", "A", "B'"}], TA == Triangle[{"B", "C", "A'"}], GeometricAssertion[{TC, TB, TA}, "Regular"], "Oc" == TriangleCenter[TC, "Centroid"], "Ob" == TriangleCenter[TB, "Centroid"], "Oa" == TriangleCenter[TA, "Centroid"], Triangle[{"Oc", "Ob", "Oa"}]}]]In 12.0 there are lots of new and useful geometric functions that work on explicit coordinates: &#10005CircleThrough[{{0,0},{2,0},{0,3}}] &#10005TriangleMeasurement[Triangle[{{0,0},{1,2},{3,4}}],"Inradius"]For triangles there are 12 types of “centers” supported, and, yes, there can be symbolic coordinates: &#10005TriangleCenter[Triangle[{{0,0},{1,2},{3,y}}],"NinePointCenter"]And to support setting up geometric statements we also need “geometric assertions”. In 12.0 there are 29 different kinds—such as "Parallel", "Congruent", "Tangent", "Convex", etc. Here are three circles asserted to be pairwise tangent: &#10005RandomInstance[GeometricScene[{a,b,c},{GeometricAssertion[{Circle[a],Circle[b],Circle[c]},"PairwiseTangent"]}]]Going Super-Symbolic with Axiomatic TheoriesVersion 11.3 introduced FindEquationalProof for generating symbolic representations of proofs. But what axioms should be used for these proofs? Version 12.0 introduces AxiomaticTheory, which gives axioms for various common axiomatic theories.Here’s my personal favorite axiom system: &#10005AxiomaticTheory["WolframAxioms"]What does this mean? In a sense it’s a more symbolic symbolic expression than we’re used to. In something like 1 + x we don’t say what the value of x is, but we imagine that it can have a value. In the expression above, a, b and c are pure “formal symbols” that serve an essentially

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