Skip to main content
SpringerLink
Log in

Optimization of linear segmented circular Mindlin plates for maximum fundamental frequency

  • Research Papers
  • Published:
Structural optimization Aims and scope Submit manuscript

Abstract

This paper concerns the optimization of piecewise linear segmented circular Mindlin plates against vibration. For a given number of linear segments and plate volume, the thickness parameters and the segmental lengths are to be optimally chosen so as to maximize the fundamental frequency of free vibration. To solve this problem, an iterative optimization procedure together with the Ritz method for analysis has been used. The effects of the number of segments, transverse shear deformation and rotary inertia on the optimal design are investigated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • IMSL Inc. 1991:FORTRAN subroutines for mathematical applications. Houston, Texas

  • Kreyzig, E. 1988:Advanced engineering mathematics (6th edition). New York: John Wiley

    Google Scholar 

  • Liew, K.M.; Xiang, Y.; Wang, C.M.; Kitipornchai, S. 1993: Flexural vibration of shear deformable circular and annular plates on ring supports.Comput. Meth. Appl. Mech. Engng. 110, 301–315

    Google Scholar 

  • Mindlin, R.D. 1951: Influence of rotary inertia and shear in flexural motion of isotropic, elastic plates.ASME, J. Appl. Mech. 18, 1031–1036

    Google Scholar 

  • Olhoff, N. 1970: Optimal design of vibrating circular plates,Int. J. Solids & Struct. 6, 139–156

    Google Scholar 

  • Rice, J.R. 1993:Numerical methods, software, and analysis (2nd edition). New York: Academic Press

    Google Scholar 

  • Rozvany, G.I.N.; Spengemann, F.; Menkenhagen, J.; Wang, C.M. 1989: Extension of Heyman's and Foulkes' theorems to structures with linear segmentation.Int. J. Mech. Sci. 31, 87–106

    Google Scholar 

  • Thambiratnam, D.P.; Thevendran, V. 1988: Optimum vibrating shapes of beams and circular plates.J. Sound Vib. 121, 13–23

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Decision Sciences, The National University of Singapore, Kent Ridge, 119260, Singapore

    F. S. Chou

  2. Department of Civil Engineering, The National University of Singapore, Kent Ridge, 119260, Singapore

    C. M. Wang

Authors
  1. F. S. Chou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. M. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chou, F.S., Wang, C.M. Optimization of linear segmented circular Mindlin plates for maximum fundamental frequency. Structural Optimization 11, 128–133 (1996). https://doi.org/10.1007/BF01376856

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01376856

Keywords

Search

Navigation