Structural optimization

, Volume 18, Issue 4, pp 256–263 | Cite as

Exact analytical solutions for frequency sensitivity of flat plates with respect to boundary shape change

  • Z. S. Liu
  • J. S. Hansen
Research Papers


Exact analytical solutions for the natural frequency sensitivity of flat plates subjected to prescribed shape design changes are obtained. The results are based on the domain mapping idea and are restricted to certain simple changes in domain geometry. Since the approach is exact and analytical it may be used as a reference for a simple yet precise accuracy assessment of more sophisticated and general numerical calculations of boundary shape eigen value sensitivity.


Civil Engineer Numerical Calculation Mapping Idea Flat Plate Shape Change 
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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • Z. S. Liu
    • 1
  • J. S. Hansen
    • 1
  1. 1.Institute for Aerospace StudiesUniversity of TorontoDownsviewCanada

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