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Topology optimization of compliant mechanisms considering strain variance

Niu, Bin ; Liu, Xiaolong ; Wallin, Mathias LU and Wadbro, Eddie (2020) In Structural and Multidisciplinary Optimization
Abstract

In this work, compliant mechanisms are designed by using multi-objective topology optimization, where maximization of the output displacement and minimization of the strain are considered simultaneously. To quantify the strain, we consider typical measures of strain, which are based on the p-norm, and a new class of strain quantifying functions, which are based on the variance of the strain. The topology optimization problem is formulated using the Solid Isotropic Material with Penalization (SIMP) method, and the sensitivities with respect to design changes are derived using the adjoint method. Since nearly void regions may be highly strained, these regions are excluded in the objective function by a projection method. In the numerical... (More)

In this work, compliant mechanisms are designed by using multi-objective topology optimization, where maximization of the output displacement and minimization of the strain are considered simultaneously. To quantify the strain, we consider typical measures of strain, which are based on the p-norm, and a new class of strain quantifying functions, which are based on the variance of the strain. The topology optimization problem is formulated using the Solid Isotropic Material with Penalization (SIMP) method, and the sensitivities with respect to design changes are derived using the adjoint method. Since nearly void regions may be highly strained, these regions are excluded in the objective function by a projection method. In the numerical examples, compliant grippers and inverters are designed, and the tradeoff between the output displacement and the strain function is investigated. The numerical results show that distributed compliant mechanisms without lumped hinges can be obtained when including the variance of the strain in the objective function.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
epub
subject
keywords
Compliant mechanism, Effective strain, Multi-objective optimization, Strain uniformity, Topology optimization
in
Structural and Multidisciplinary Optimization
publisher
Springer
external identifiers
  • scopus:85087315287
ISSN
1615-147X
DOI
10.1007/s00158-020-02632-1
language
English
LU publication?
yes
id
915602a3-2cca-4591-9bae-140e8e011a82
date added to LUP
2020-07-20 08:56:00
date last changed
2020-10-07 07:01:54
@article{915602a3-2cca-4591-9bae-140e8e011a82,
  abstract     = {<p>In this work, compliant mechanisms are designed by using multi-objective topology optimization, where maximization of the output displacement and minimization of the strain are considered simultaneously. To quantify the strain, we consider typical measures of strain, which are based on the p-norm, and a new class of strain quantifying functions, which are based on the variance of the strain. The topology optimization problem is formulated using the Solid Isotropic Material with Penalization (SIMP) method, and the sensitivities with respect to design changes are derived using the adjoint method. Since nearly void regions may be highly strained, these regions are excluded in the objective function by a projection method. In the numerical examples, compliant grippers and inverters are designed, and the tradeoff between the output displacement and the strain function is investigated. The numerical results show that distributed compliant mechanisms without lumped hinges can be obtained when including the variance of the strain in the objective function.</p>},
  author       = {Niu, Bin and Liu, Xiaolong and Wallin, Mathias and Wadbro, Eddie},
  issn         = {1615-147X},
  language     = {eng},
  month        = {06},
  publisher    = {Springer},
  series       = {Structural and Multidisciplinary Optimization},
  title        = {Topology optimization of compliant mechanisms considering strain variance},
  url          = {http://dx.doi.org/10.1007/s00158-020-02632-1},
  doi          = {10.1007/s00158-020-02632-1},
  year         = {2020},
}