1,721,081 research outputs found

    Optimization and solution approximation of design problems formulated by axiomatic design and paracomplete logic

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    Of primary importance in Axiomatic Design (AD) theory is Suh‘s first axiom, stating that the independence of functional requirements should be maintained throughout the design process. Para-complete logics, such as fuzzy logic, can be used to express the relationship between functional requirements (FRs) and design parameters (DPs) in AD. This is especially true in cases where this relationship can only be codified using linguistic variables. In fact, para-complete logics violate the principle of the excluded third party, allowing for the effects of changes in DP within the same FR to be considered partially independent of each other. Recently, a paper was published investigating changes in the concept of decoupled design when para-complete logics are applied to FRs-DPs link definition. Using an example case, this paper evaluated the impact of a designer‘s decoupling capability using composition rules for FRs, in order to make the design matrix diagonal or lower triangular by decoupling the effects of several DPs on different FRs using fuzzy formulation. -cut is a powerful instrument used to modify membership functions in order to approximate a non- optimized solution to an optimized one, by simply modifying the membership values. In this paper, we attempt to elaborate a simple optimization method based on a controlled approximation given by several values applied to different membership functions. We then introduce a new method to control and evaluate the amount of that approximation

    AXIOMATIC FRAMEWORK APPLIED TO INDUSTRIAL DESIGN PROBLEM FORMULATED BY PARA-COMPLETE LOGICS APPROACH: THE POWER OF DECOUPLING ON OPTIMIZATION-PROBLEM SOLVING

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    A primary “must” of axiomatic design theory is the first axiom, stating that independence of functional requirements should be maintained throughout the design process. Para-complete logics, such as Fuzzy logic, give us a powerful instrument to express “mathematical/functional” interaction between FRs and DPs, especially when this interaction cannot be expressed by a precise “mathematical function (i.e. the case in which we want to express several data from VOC (Voice of Customer) investigation, building an FR for a defined design performance), and so can be codified only using “Linguistic variables”. Para-complete logics, among which the Fuzzy logic is, for us, the most powerful, violate the principle of the excluded third party, so that the effects of DPs’ changes on the same FR can be considered partially independent each other. Recent paper investigated changes in Decoupled Design’s concept when para-complete logics are applied in FRs-DPs link definition and evaluated, using an example, the impact of decoupling capability of designer using composition rules on FRs, in order to make the design matrix diagonal or lower triangular by decoupling effects of several DPs on different FRs using Fuzzy formulation. In this paper that kind of approach is extended to optimization method; in this paper we want demonstrate how is possible, using Fuzzy formulation and respecting the first Suh’s Axiom, to elaborate a simple optimization routine based on variation and bounding of DPs values in given ranges. Using that method, Defuzzyfication of DPs for Design optimization will became very simple. A new practical application will be explained

    Axiomatic Design of a car bonnet: a new decoupling method based on Fuzzy Logic application

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    In Axiomatic Design Approach, the first axiom, states that independence of functional requirements should be maintained throughout the design process. Para-complete logics, such as Fuzzy logic, represents a powerful instrument to express “mathematical/functional” interaction between Functional Requirements (FRs) and Design Parameters (DPs). Para-complete logics violate the principle of the excluded third party, so that the effects of DPs’ changes on the same FR can be considered partially independent each other. Our paper investigates the changes in Decoupled Design’s concept when para-complete logics are applied in FRs-DPs matrix definition. Paper evaluates the impact of decoupling capability of designer using composition rules on FRs, in order to make the design matrix diagonal or lower triangular by decoupling effects of several DPs on different FRs using Fuzzy formulatio

    Additive manufacturing for industrial benchmarking: An application to vehicle's under-hood design

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    All over the world, and mainly in United States, since 1977 to 1991 the research centers of automotive companies have processed several statistical data on real accidents between vehicles and pedestrians taking care, obviously, to pedestrians' injury. In latest years, a research group of EEVC (European Enhanced Vehicle-Safety Committee) had realized some documents about "pedestrian test" procedures. In reference papers of period 1977 - 1997 and in EEVC documents, the scientists describe a proposed homologating test for child-head impact; it is represented by the impact of some standardized impactors on car bonnet, in order to evaluate the child-head injury as deceleration of its gravity center. Injury evaluation criteria is an energy criterion and is quantified by the HPC index (see below) calculated by acceleration resultant vector, measured by an accelerometer mounted in the head- impactor. Our research wants to propose a new potential-injury evaluation method based on virtual reconstruction of the surface that envelope all the deformation surfaces in internal part of the bonnet and on its rapid prototyping. This surface is so processed and rapid prototyped as a puzzle of shells with their support. This prototyped surface is super-imposed on the real under-bonnet layout of a car and allows to evaluate easily where and how much our deformed bonnet could hit the hard-parts of the engine layout. This paper shows the results of this research project
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