Structural Topology Optimization Under Design-Dependent Loads

Structural Topology ◽

And Topology ◽

Structure Changes ◽

Design Dependent Loads

In this paper, topology optimization of structure subject to design-dependent loads is studied. The position and direction of the design-dependent loads will change as the shape and topology of structure changes during optimization iteration. A potential function is introduced to locate the surface boundary. Design sensitivity analysis is derived. Examples from the proposed method are presented.

Design sensitivity analysis and topology optimization of displacement–loaded non-linear structures

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(03)00274-3 ◽

2003 ◽

Vol 192 (22-24) ◽

pp. 2539-2553 ◽

Cited By ~ 54

Author(s):

Seonho Cho ◽

Hyun-Seung Jung

Keyword(s):

Sensitivity Analysis ◽

Topology Optimization ◽

Design Sensitivity ◽

Linear Structures ◽

And Topology ◽

Non Linear

Design sensitivity analysis and topology optimization of eigenvalue problems for piezoelectric resonators

Smart Materials and Structures ◽

10.1088/0964-1726/15/6/002 ◽

2006 ◽

Vol 15 (6) ◽

pp. 1513-1524 ◽

Cited By ~ 21

Author(s):

Yoondo Ha ◽

Seonho Cho

Keyword(s):

Sensitivity Analysis ◽

Topology Optimization ◽

Eigenvalue Problems ◽

Design Sensitivity ◽

Piezoelectric Resonators ◽

And Topology

Structural Topology Optimization for Forced Vibration Problem Using Level Set Method

Volume 5: 37th Design Automation Conference, Parts A and B ◽

10.1115/detc2011-47037 ◽

2011 ◽

Author(s):

Lei Shu ◽

Michael Yu Wang ◽

Zongde Fang ◽

Zhengdong Ma

Keyword(s):

Sensitivity Analysis ◽

Topology Optimization ◽

Level Set Method ◽

Level Set ◽

Forced Vibration ◽

Adjoint Equation ◽

Excitation Frequency ◽

Structural Topology ◽

Vibration Problem

For the purpose of structure vibration reduction, a structural topology optimization for forced vibration problem is proposed based on the level set method. The objective of present study is to minimize the frequency response at the specified points or surfaces on the structure with an excitation frequency or a frequency range, subject to the given amount of the material over the admissible design domain. The sensitivity analysis with respect to the structural boundaries is carried out, while the X-FEM is employed for solving the state equation and the adjoint equation. The optimal structure with smooth boundaries is obtained by the level set evolution with advection velocity, derived from the sensitivity analysis and the optimization algorithm. A number of two-dimensional numerical examples are presented to demonstrate the feasibility and effectiveness of the proposed approach.

An isogeometric approach of two dimensional acoustic design sensitivity analysis and topology optimization analysis for absorbing material distribution

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.03.025 ◽

2018 ◽

Vol 336 ◽

pp. 507-532 ◽

Cited By ~ 17

Author(s):

Leilei Chen ◽

Cheng Liu ◽

Wenchang Zhao ◽

Linchao Liu

Keyword(s):

Sensitivity Analysis ◽

Topology Optimization ◽

Design Sensitivity ◽

Material Distribution ◽

Two Dimensional ◽

Optimization Analysis ◽

Acoustic Design ◽

And Topology ◽

Absorbing Material

A new convolution variational boundary element technique for design sensitivity analysis and topology optimization of anisotropic thermo-poroelastic structures

Arab Journal of Basic and Applied Sciences ◽

10.1080/25765299.2019.1703493 ◽

2019 ◽

Vol 27 (1) ◽

pp. 1-12 ◽

Cited By ~ 7

Author(s):

Mohamed Abdelsabour Fahmy

Keyword(s):

Sensitivity Analysis ◽

Topology Optimization ◽

Boundary Element ◽

Design Sensitivity ◽

And Topology ◽

Element Technique ◽

Boundary Element Technique

Stress constraints sensitivity analysis in structural topology optimization

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.03.010 ◽

2010 ◽

Vol 199 (33-36) ◽

pp. 2110-2122 ◽

Cited By ~ 24

Author(s):

J. París ◽

F. Navarrina ◽

I. Colominas ◽

M. Casteleiro

Keyword(s):

Sensitivity Analysis ◽

Topology Optimization ◽

Stress Constraints ◽

Structural Topology

Structural Topology Optimization for Forced Frequency Vibrations

Volume 3: 22nd Design Automation Conference ◽

10.1115/96-detc/dac-1477 ◽

1996 ◽

Author(s):

Ciro A. Soto ◽

R. J. Yang ◽

Richard DeVries

Keyword(s):

Sensitivity Analysis ◽

Topology Optimization ◽

Frequency Domain ◽

Frequency Spectrum ◽

Force Frequency ◽

Structural Topology ◽

Computational Implementation ◽

Optimization Formulation ◽

Optimum Topology

Abstract This work deals with the problem of computing the optimum topology of structures subject to a force frequency spectrum. The analysis is done in the frequency domain and the optimum topology is computed using the simplified density approach. Optimization formulation as well as the sensitivity analysis are discussed. An example showing the capabilities of the computational implementation is presented.