Title: A moving morphable component‐based topology optimization approach considering transient structural dynamic responses

Journal Article · · International Journal for Numerical Methods in Engineering
DOI: https://doi.org/10.1002/nme.6872 · OSTI ID:1831323
 [1]; ORCiD logo [2];  [2];  [1]; ORCiD logo [2];  [1]; ORCiD logo [2]
  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, International Research Center for Computational Mechanics Dalian University of Technology Dalian P. R. China
  2. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, International Research Center for Computational Mechanics Dalian University of Technology Dalian P. R. China, Ningbo Institute of Dalian University of Technology Ningbo P. R. China

Abstract A novel approach is developed under the moving morphable component (MMC) framework to solve topology optimization problems considering transient structural dynamic responses, where the structure for optimization is constructed with a collection of structural components, and the structural layout can be described explicitly via only a small number of design variables characterizing the positions and geometries of the components. The transient dynamic response of the structure and corresponding sensitivities are computed via step‐by‐step numerical integration and mode reduction technique is also employed to enhance the computational efficiency. Compared with existing works, the numerical instabilities induced by localized vibration modes can be substantially alleviated and the computational effort for direct sensitivity analysis is significantly reduced in the proposed approach. Two and three‐dimensional numerical examples considering the cases of nonproportional damping mechanism and time‐varying mass are also provided to manifest the validity of the proposed approach.

Sponsoring Organization:
USDOE
OSTI ID:
1831323
Journal Information:
International Journal for Numerical Methods in Engineering, Journal Name: International Journal for Numerical Methods in Engineering Journal Issue: 3 Vol. 123; ISSN 0029-5981
Publisher:
Wiley Blackwell (John Wiley & Sons)Copyright Statement
Country of Publication:
United Kingdom
Language:
English

References (46)

On the application of the mode-acceleration method to structural engineering problems journal September 1983
The method of moving asymptotes—a new method for structural optimization journal February 1987
Optimal shape design as a material distribution problem journal December 1989
Multiple eigenvalues in structural optimization problems journal December 1994
Generalized topology design of structures with a buckling load criterion journal October 1995
A review of optimization of structures subjected to transient loads journal January 2006
Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps journal May 2007
Some symmetry results for optimal solutions in structural optimization journal April 2012
Symmetry properties in structural optimization: some extensions journal February 2013
A survey of structural and multidisciplinary continuum topology optimization: post 2000 journal July 2013
Topology optimization approaches: A comparative review journal August 2013
A comparative study of dynamic analysis methods for structural topology optimization under harmonic force excitations journal January 2015
Structural optimization of multibody system components described using level set techniques journal July 2015
On the influence of model reduction techniques in topology optimization of flexible multibody systems using the floating frame of reference approach journal September 2015
Dynamic response topology optimization in the time domain using model reduction method journal September 2015
Topology optimization: a review for structural designs under vibration problems journal January 2016
A new topology optimization approach based on Moving Morphable Components (MMC) and the ersatz material model journal December 2015
Maximization of eigenvalues using topology optimization journal August 2000
Recent development in structural design and optimization journal December 2010
Multiple eigenvalues in optimization problems journal January 1987
Generating optimal topologies in structural design using a homogenization method journal November 1988
Computational aspects of sensitivity calculations in transient structural analysis journal January 1989
A simple evolutionary procedure for structural optimization journal December 1993
Design of multiphysics actuators using topology optimization – Part I: One-material structures journal October 2001
A level set method for structural topology optimization journal January 2003
Structural topology optimization for frequency response problem using model reduction schemes journal May 2010
Dynamic topology optimization of piezoelectric structures with active control for reducing transient response journal November 2014
Explicit layout control in optimal design of structural systems with multiple embedding components journal June 2015
Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons journal October 2016
Kriging-assisted topology optimization of crash structures journal May 2019
Explicit and efficient topology optimization of frequency-dependent damping patches using moving morphable components and reduced-order models journal October 2019
Higher order eigensensitivity analysis of damped systems with repeated eigenvalues journal January 2004
Topology optimization for minimizing the maximum dynamic response in the time domain using aggregation functional method journal October 2017
Concurrent topology optimization with uniform microstructure for minimizing dynamic response in the time domain journal October 2019
Topology optimization of planar frames under seismic loads induced by actual and artificial earthquake records journal May 2016
Structural optimization using sensitivity analysis and a level-set method journal February 2004
A MAC based excitation frequency increasing method for structural topology optimization under harmonic excitations journal January 2017
Topology optimization of magnetorheological fluid layers in sandwich plates for semi-active vibration control journal July 2015
Doing Topology Optimization Explicitly and Geometrically—A New Moving Morphable Components Based Framework journal May 2014
Lagrangian Description Based Topology Optimization—A Revival of Shape Optimization journal January 2016
Topology Optimization of a Three-Dimensional Flexible Multibody System Via Moving Morphable Components journal November 2017
Topological Optimization of Under-Platform Dampers With Moving Morphable Components and Global Optimization Algorithm for Nonlinear Frequency Response journal February 2021
Adjoint Method for Design Sensitivity Analysis of Multiple Eigenvalues and Associated Eigenvectors journal August 2007
Sensitivity of Repeated Eigenvalues to Perturbations journal March 2005
Dynamic Response Topology Optimization in the Time Domain Using Equivalent Static Loads journal January 2012
Topology optimization for transient response of structures subjected to dynamic loads conference June 2017

Similar Records

Explicit structural topology optimization using boundary element method‐based moving morphable void approach
Journal Article · 2021 · International Journal for Numerical Methods in Engineering · OSTI ID:1812095

Stress‐constrained topology optimization of structures subjected to nonproportional loading
Journal Article · 2023 · International Journal for Numerical Methods in Engineering · OSTI ID:1959376

Structural stability and artificial buckling modes in topology optimization
Journal Article · 2021 · Structural and Multidisciplinary Optimization · OSTI ID:1814523

Related Subjects