First- and Second-Order Design Sensitivity Analysis Scheme Based on Trefftz Method

Author:

Kita E.1,Kataoka Y.2,Kamiya N.3

Affiliation:

1. Department of Mechano-lnformatics & Systems, Nagoya University, Nagoya, 464-8603 Japan

2. Hitachi Zosen Co., Kumamoto, 970 Japan

3. School of Informatics & Sciences, Nagoya University, Nagoya, 464-8601 Japan

Abstract

This paper presents a new scheme for the first- and second-order design sensitivity analysis of the two-dimensional elastic problem by using Trefftz method. In the Trefftz method, the physical quantities are approximated by superposition of regular T-complete functions. Therefore, direct differentiation of the approximate expressions with respect to design parameters leads to the regular expressions of the sensitivities. The present schemes are applied to some examples in order to confirm the validity.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference20 articles.

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1. Sensitivity analysis scheme of boundary value problem of 2D Poisson equation by using Trefftz method;Engineering Analysis with Boundary Elements;2005-07

2. A Second-order sensitivity equation method for laminar flow;International Journal of Computational Fluid Dynamics;2005-02

3. Recursive formulas for design sensitivity analysis of mechanical systems;Computer Methods in Applied Mechanics and Engineering;2001-04

4. Shape optimization with hybrid-Trefftz displacement elements;International Journal for Numerical Methods in Engineering;2001

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