First- and second-order design sensitivity analysis scheme based on Trefftz method

被引：8

作者：

Kita, E ^{[1
]}

Kataoka, Y ^{[1
]}

Kamiya, N ^{[1
]}

机构：

[1] Nagoya Univ, Dept Mechanoinformat & Syst, Nagoya, Aichi 4648603, Japan

来源：

JOURNAL OF MECHANICAL DESIGN | 1999年 / 121卷 / 01期

关键词：

D O I：

10.1115/1.2829434

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

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 lends to the regular expressions of the sensitivities. The present schemes are applied to some examples in order to confirm the validity.

引用

页码：84 / 91

页数：8

共 50 条

[21] EFFICIENT METHOD FOR CALCULATION OF FIRST- AND SECOND-ORDER NETWORK SENSITIVITIES
GODDARD, PJ
SPENCE, R
ELECTRONICS LETTERS, 1969, 5 (16) : 351 - &
[22] Application of element-free Trefftz method to second-order design sensitivity analysis of two-dimensional elastic problem
Kita, E
Kataoka, Y
Kamiya, N
JSME INTERNATIONAL JOURNAL SERIES A-SOLID MECHANICS AND MATERIAL ENGINEERING, 1997, 40 (04): : 375 - 381
[23] First- and Second-Order Asymptotic Analysis with Applications in Quasiconvex Optimization
F. Flores-Bazán
N. Hadjisavvas
F. Lara
I. Montenegro
Journal of Optimization Theory and Applications, 2016, 170 : 372 - 393
[24] First- and Second-Order Asymptotic Analysis with Applications in Quasiconvex Optimization
Flores-Bazan, F.
Hadjisavvas, N.
Lara, F.
Montenegro, I.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 170 (02) : 372 - 393
[25] Bioethics in Denmark Moving from First- to Second-Order Analysis?
Nielsen, Morten Ebbe Juul
Andersen, Martin Marchman
CAMBRIDGE QUARTERLY OF HEALTHCARE ETHICS, 2014, 23 (03) : 326 - 333
[26] First- and second-order sensitivity analysis of a photochemically reactive system (a Green's function approach)
Vuilleumier, L
Harley, RA
Brown, NJ
ENVIRONMENTAL SCIENCE & TECHNOLOGY, 1997, 31 (04) : 1206 - 1217
[27] Engineering criticality analysis on an offshore structure using the first- and second-order reliability method
Kang, Beom-Jun
Kim, Jeong-Hwan
Kim, Yooil
INTERNATIONAL JOURNAL OF NAVAL ARCHITECTURE AND OCEAN ENGINEERING, 2016, 8 (06) : 577 - 588
[28] Making Policies Work: First- and Second-order Mechanisms in Policy Design
Rodrigues de Caires, Carlos Miguel
OPERA-COLOMBIA, 2020, (26): : 308 - 312
[29] Application of the Second-Order Comprehensive Adjoint Sensitivity Analysis Methodology to Compute First- and Second-Order Sensitivities of Flux Functionals in a Multiplying System with Source
Cacuci, Dan Gabriel
NUCLEAR SCIENCE AND ENGINEERING, 2019, 193 (06) : 555 - 600
[30] Between First- and Second-Order Stochastic Dominance
Mueller, Alfred
Scarsini, Marco
Tsetlin, Ilia
Winkler, Robert L.
MANAGEMENT SCIENCE, 2017, 63 (09) : 2933 - 2947

← 1 2 3 4 5 →