Extremum calculation of natural frequency for truss based on virtual material method

Qing Wang, Bin Xu, Pumeng Zhao

Research output: Contribution to journalArticlepeer-review

Abstract

Because frequency constraint is the key constraint for dynamic topology optimization of truss, in this paper, a new method for extremum calculation of natural frequency for truss is put forward-an optimization method based on virtual material. It is optimized in two levels with sensitivity analysis; there are nodal design variables and cross-section area variables of truss elements, the bars related to the removed nodes being assigned new material properties; then the extremum of natural frequency is calculated with steepest descent method (SDM). The results of a numerical example and their analysis show preliminarily that the proposed method is correct and effective.

Original languageEnglish
Pages (from-to)498-502
Number of pages5
JournalXibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University
Volume31
Issue number3
StatePublished - Jun 2013

Keywords

  • Extremum of natural frequency
  • Natural frequencies
  • Sensitivity analysis
  • Steepest descent method
  • Topology
  • Trusses
  • Virtual material

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