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

[+] Author and Article Information
E. Kita

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

Y. Kataoka

Hitachi Zosen Co., Kumamoto, 970 Japan

N. Kamiya

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

J. Mech. Des 121(1), 84-91 (Mar 01, 1999) (8 pages) doi:10.1115/1.2829434 History: Received February 01, 1997; Revised September 01, 1998; Online December 11, 2007


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.

Copyright © 1999 by The American Society of Mechanical Engineers
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