Skip to main content
SpringerLink
Log in

Optimal design of minimax deflection of an annular plate

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The optimal design of minimax deflection of an annular plate is studied in this paper. The annular plate is subjected to an arbitrary axisymmetric loading. The problem can be posed as a standard nonlinear programming problem with equality constraints by means of the stepped reduction method. Some examples are also given to illustrate the method which has many advantages.

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

  1. Cheng, K.T. and N. Olhoff, An investigation concerning optimal design of solid elastic plate,Int. J. Solids Structures,17 (1981), 305–323.

    Article  MATH  MathSciNet  Google Scholar 

  2. Cheng, K.T. and N. Olhoff, Regularized formulation for optimal design of axisymmetric plate,Int. J. Solids Structures,18 (1982), 153–169.

    Article  MATH  Google Scholar 

  3. Yu, H.R. and K.Y. Yeh, Optimal design of thin elastic plate under arbitrarily load,Acta Mech. Sinica, Proceedings of China Researcher of the 16-th ICTAM (1986), 348–358.

  4. Banichuk, N.V., Design of plate for minimum stress and deflection,Optimization of Distributed Parameter Structures, IOWA, (1980,1981), 333–361.

  5. Banichuk, N.V., V.M. Kartvelishvili and A.A. Mironov, Numerical solution of two-dimensional optimization problems for elastic plate,Izv. An SSSR, MTT, 1 (1977).

  6. Banichuk, N.V., V.M. Kartvelishvili and A.A. Mironov, The numerical method for two-dimensional optimization problem in the theory of elasticity,Proc. of the V USSR Conference on the Numerical Methods for Solving Elasticity and Plasticity Problems, Part 2, Novosibirsk, VC SO AN SSSR (1978). (in Russian)

    Google Scholar 

  7. Yeh, K.Y., Bending, buckling and free vibration of non-homogeneous variable thickness beams,J. of Lanzhou University (Natural Sciences), Special Number of Mechanics,19 (1979), 138–157.

    Google Scholar 

  8. Yeh, K.Y. and J.H. Kue, Bending of arbitrary axisymmetrically non-homogeneous and variable thickness circular plate with holes at centers under arbitrary steady temperature,J. of Lanzhou University, Special Number of Mech.,19 (1979), 75–114.

    Google Scholar 

  9. Jaroslaw, S.S., B.J. Benjamin and R.D. Augustine, Structural optimization by multilevel decomposition,AIAA Journal,23, 11 (1985), 1775–1782.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanics, Lanzhou University, Lanzhou

    Yu Huan-ran & Yeh Kai-yuan

Authors
  1. Yu Huan-ran
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yeh Kai-yuan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Project Supported by the Science Fund of the National. Education Committee.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Huan-ran, Y., Kai-yuan, Y. Optimal design of minimax deflection of an annular plate. Appl Math Mech 9, 13–18 (1988). https://doi.org/10.1007/BF02017882

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02017882

Keywords

Search

Navigation