Gaussian Layer Connectivity Parameterization: A New Approach to Topology Optimization of Multi-Body Mechanisms

Kenneth E. Swartz, Kai A. James

Research output: Contribution to journalArticlepeer-review

Abstract

Topology optimization is extended to the design of multi-body mechanisms. A Gaussian function is used to parameterize the location of inter-body connections, thereby enabling the optimization of both mass distribution and inter-body connectivity simultaneously. The potential for large rigid-body rotation necessitates the use of a geometrically nonlinear finite element analysis to properly model mechanism response. The unknown displacement field is calculated with a Newton–Raphson iterative scheme. An adjoint analysis is performed to efficiently compute the design sensitivities used in the gradient-based optimization procedure. The proposed technique is demonstrated on the design of multi-body grippers and force/displacement inverters.

Original languageEnglish (US)
Pages (from-to)42-51
Number of pages10
JournalCAD Computer Aided Design
Volume115
DOIs
StatePublished - Oct 2019

Keywords

  • Adjoint sensitivity analysis
  • Multi-body mechanism design
  • Nonlinear finite element analysis
  • Topology optimization

ASJC Scopus subject areas

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering

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