A Penalty Optimization Algorithm for Eigenmode Optimization Problem Using Sensitivity Analysis

被引：1

作者：

Zhang, Zhengfang ^{[1
]}

Chen, Weifeng ^{[2
]}

Cheng, Xiaoliang ^{[3
]}

机构：

[1] Hangzhou Dianzi Univ, Coll Sci, Hangzhou 310018, Peoples R China

[2] Zhejiang Univ Finance & Econ, Sch Informat, Hangzhou 310018, Peoples R China

[3] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2014年 / 15卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Sensitivity analysis; eigenmode optimization problem; finite element method; penalty method; LEVEL-SET METHOD; STRUCTURAL TOPOLOGY OPTIMIZATION; EIGENVECTOR DERIVATIVES; BOUNDARY CONTROL; DESIGN; EIGENFREQUENCIES; EIGENVALUES; CONSTRAINTS; FREQUENCY; GEOMETRY;

D O I：

10.4208/cicp.190313.090913a

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper investigates the eigenmode optimization problem governed by the scalar Helmholtz equation in continuum system in which the computed eigenmode approaches the prescribed eigenmode in the whole domain. The first variation for the eigenmode optimization problem is evaluated by the quadratic penalty method, the adjoint variable method, and the formula based on sensitivity analysis. A penalty optimization algorithm is proposed, in which the density evolution is accomplished by introducing an artificial time term and solving an additional ordinary differential equation. The validity of the presented algorithm is confirmed by numerical results of the first and second eigenmode optimizations in 1D and 2D problems.

引用

页码：776 / 796

页数：21

共 50 条

[1] Reduction of Optimization Problem by Combination of Optimization Algorithm and Sensitivity Analysis
Mach, F.
[J]. IEEE TRANSACTIONS ON MAGNETICS, 2016, 52 (03)
[2] Sensitivity analysis and optimization of eigenmode localization in continuum systems
Zhang, Zhengfang
Chen, Weifeng
Cheng, Xiaoliang
[J]. STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2015, 52 (02) : 305 - 317
[3] Sensitivity analysis and optimization of eigenmode localization in continuum systems
Zhengfang Zhang
Weifeng Chen
Xiaoliang Cheng
[J]. Structural and Multidisciplinary Optimization, 2015, 52 : 305 - 317
[4] Sensitivity Analysis on Structural Optimization Using Jaya Algorithm
Bilgin, Mehmet Berat
Nigdeli, Sinan Melih
Bekdas, Gebrail
[J]. PROCEEDINGS OF 7TH INTERNATIONAL CONFERENCE ON HARMONY SEARCH, SOFT COMPUTING AND APPLICATIONS (ICHSA 2022), 2022, 140 : 43 - 50
[5] Sensitivity Analysis on Structural Optimization Using Jaya Algorithm
Bilgin, Mehmet Berat
Nigdeli, Sinan Melih
Bekdaş, Gebrail
[J]. Lecture Notes on Data Engineering and Communications Technologies, 2022, 140 : 43 - 50
[6] Solving the Toll Optimization Problem by a Heuristic Algorithm Based Upon Sensitivity Analysis
Kalashnikov, V. V.
Kalashnykova, N. I.
Herrera-Maldonado, R. C.
[J]. 2014 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND ENGINEERING MANAGEMENT (IEEM), 2014, : 682 - 686
[7] Parameters Optimization of Geotechnical Problem Using Different Optimization Algorithm
Nama S.
Saha A.K.
Ghosh S.
[J]. Geotechnical and Geological Engineering, 2015, 33 (5) : 1235 - 1253
[8] OPTIMIZATION USING SENSITIVITY ANALYSIS
MUSGROVE, MD
REED, JM
HAUSER, CC
[J]. JOURNAL OF SPACECRAFT AND ROCKETS, 1983, 20 (01) : 3 - 4
[9] Global convergence of a class new smooth penalty algorithm for constrained optimization problem
Zhao, Wenling
Wang, Ruyu
Song, Daojin
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (05) : 3987 - 3997
[10] SENSITIVITY ANALYSIS OF ONE OPTIMIZATION PROBLEM WITH PREHISTORY
Dvalishvili, Phridon
[J]. PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL I, 2018, : 143 - 145

← 1 2 3 4 5 →