Optimization of Barrier Type SRMs with Response Surface Methodology Combined with Moving Least Square Method

Abstract Response surface methods or metamodels are commonly used to approximate large engineering systems. This paper presents a new metric for evaluating a response surface method or a metamodeling technique. Five response surface methods are studied: Stepwise Regression, Moving Least Square, Kriging, Multiquadratic, and Adaptive and Interactive Modeling System. A real world frontal impact design problem is used as an example, which is a complex, highly nonlinear, transient, dynamic, large deformation finite element model. The optimal Latin Hypercube Sampling method is used to distribute the sampling points uniformly over the entire design space. The Root Mean Square Error is used as the error indicator to study the accuracy and convergence rate of the metamodels for this vehicle impact analysis. A hybrid approach/strategy for selecting the best metamodels of impact responses is proposed.

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J1201-1-4 Inverse Analysis Using Strain and Stress Values Computed by Moving Least Square Method

The proceedings of the JSME annual meeting ◽

10.1299/jsmemecjo.2009.7.0_303 ◽

2009 ◽

Vol 2009.7 (0) ◽

pp. 303-304

Author(s):

Takahiko Kurahashi

Keyword(s):

Inverse Analysis ◽

Least Square Method ◽

Least Square ◽

Moving Least Square

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Basic Study on Trend Prediction for Style Design

Volume 3: 28th Computers and Information in Engineering Conference, Parts A and B ◽

10.1115/detc2008-49574 ◽

2008 ◽

Cited By ~ 3

Author(s):

Shinya Yoshida ◽

Hideki Aoyama

Keyword(s):

Product Design ◽

Least Square Method ◽

Least Square ◽

Concept Design ◽

Trend Prediction ◽

Basic Study ◽

Moving Least Square ◽

And Function ◽

Eigenvalue And Eigenvector ◽

Near Future

With diversification of consumer taste, appearance shape together with functionality contributes to the appeal of a product vastly. Concept design and industrial design therefore serve as an important process in product development. These designs are difficult to perform based on theoretical backing, since appearance shape design is a creative activity which depends on a designer’s aesthetic sense strongly. When embodying a product shape, naturally design is determined not only by a designer’s sensitivity but by use and function of a product as well. It is also important to investigate designs desired by consumers, and reflect all of this in the product design. The ability to predict consumer taste trends therefore greatly aids product design. In this research, the prototype models of a product in trend every year were made by multiplying weights according to the number of a product sold in the past to calculate that the rate of exaggeration of prototype models of each year to all whole prototype models. The straight extrapolation of the Spline method was applied to the exaggeration vector, and the technique of predicting shapes preferred by consumers in the near future using that method was proposed. Moreover the eigenspace method was applied to similar product shapes to propose the technique of grasping the features of shape for every year by computing the eigenvalue and eigenvector of the coordinates of the points of the shapes as well as the technique of predicting shapes which consumers will prefer in the near future by using the Linear function of Moving Least Square method.

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