Structural optimization

, Volume 7, Issue 1–2, pp 138–140 | Cite as

Optimization of material properties for improved frequency response

  • M. P. Bendsøe
  • A. R. Díaz
Brief Note


The problem of maximizing the fundamental frequency of free vibrations of a structure is considered in the general setting of a simultaneous optimization of material and structure. As an extension of recent work by Bendsøeet al. (1993), the design variables include the constitutive tensors that characterize material properties. The analytical form of the extremal material problem is derived together with a considerably simplified auxiliary equivalent problem.


Material Property Recent Work Civil Engineer General Setting Frequency Response 
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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • M. P. Bendsøe
    • 1
  • A. R. Díaz
    • 2
  1. 1.Mathematical InstituteThe Technical University of DenmarkLyngbyDenmark
  2. 2.Department of Mechanical EngineeringMichigan State UniversityEast LansingUSA

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