On the consistency of adjoint sensitivity analysis for structural optimization of linear dynamic problems

被引：88

作者：

Jensen, Jakob S. ^{[1
]}

Nakshatrala, Praveen B. ^{[2
]}

Tortorelli, Daniel A. ^{[2
]}

机构：

[1] Tech Univ Denmark, Dept Mech Engn, DK-2800 Lyngby, Denmark

[2] Univ Illinois, Dept Mech Sci & Engn, Urbana, IL 61801 USA

来源：

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2014年 / 49卷 / 05期

基金：

欧洲研究理事会;

关键词：

Topology optimization; Numerical time integration; Adjoint sensitivity analysis; TOPOLOGY OPTIMIZATION; DESIGN;

D O I：

10.1007/s00158-013-1024-4

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Gradient-based topology optimization typically involves thousands or millions of design variables. This makes efficient sensitivity analysis essential and for this the adjoint variable method (AVM) is indispensable. For transient problems it has been observed that the traditional AVM, based on a differentiate-then-discretize approach, may lead to inconsistent sensitivities. Herein this effect is explicitly demonstrated for a single dof system and the source of inconsistency is identified. Additionally, we outline an alternative discretize-then-differentiate AVM that inherently produces consistent sensitivities.

引用

页码：831 / 837

页数：7

共 15 条

[11] On response time reduction of electrothermomechanical MEMS using topology optimization [J].

Motta Mello, Luis Augusto ;

Salas, Ruben Andres ;

Nelli Silva, Emilio Carlos .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 247 :93-102

[12] Structural topology optimization for the design of broadband dielectric resonator antennas using the finite difference time domain technique [J].

Nomura, Tsuyoshi ;

Sato, Kazuo ;

Taguchi, Kenji ;

Kashiwa, Tatsuya ;

Nishiwaki, Shinji .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 71 (11) :1261-1296

[13] DESIGN SENSITIVITY ANALYSIS FOR ELASTODYNAMIC SYSTEMS [J].

TORTORELLI, DA ;

LU, SCY ;

HABER, RB .

MECHANICS OF STRUCTURES AND MACHINES, 1990, 18 (01) :77-106

[14] Optimal non-homogeneous composites for dynamic loading [J].

Turteltaub, S .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2005, 30 (02) :101-112

[15] Review of options for structural design sensitivity analysis. Part 1: Linear systems [J].

van Keulen, F ;

Haftka, RT ;

Kim, NH .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (30-33) :3213-3243

← 1 2 →