Acta Mechanica Sinica

, Volume 2, Issue 4, pp 348–361 | Cite as

An efficient method for structural optimization

  • Xia Renwei
  • Liu Peng
Article

Abstract

Based on the dual theory of nonlinear mathematical programming and the second order Taylor series expansions of functions, an efficient algorithm for structural optimum design has been developed. The main advantages of this method are the generality in use, the efficiency in computation and the capability in identifying automatically the set of active constraints. On the basis of the virtual work principle, formulas in terms of element stresses for the first and second order derivatives of nodal displacement and stress with respect to design variables are derived. By applying the Saint-Venant's principle, the computational efforts involved in the Hessian matrix associated with the iterative expression can be significantly reduced. This method is especially suitable for optimum design of large scale structures. Several typical examples have been optimized to test its uasefulness.

Key Words

structural optimization design sensitivity analysis mathematical programming 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Fleury, C. and Schmit, L. A., Dual Methods and Approximation Concepts in Structural Synthesis.NASA CR 3226.Google Scholar
  2. [2]
    Xia Renwei, A unified optimality criteria method in structural design.Engineering Optimization,8, 1 (1984), 1.Google Scholar
  3. [3]
    Arora, J. S. and Haug, E. J., Methods of design sensitivity analysis in structural optimization.AIAA Journal,17, 9. (1979), 970.MathSciNetGoogle Scholar
  4. [4]
    Haug, E. J., Second order design sensitivity analysis of structural systems.AIAA Journal,19, 8 (1981), 1087.Google Scholar
  5. [5]
    Haftka, R. T., Second-Order Sensitivity Derivatives in Structural Analysis.AIAA Journal,20, 12 (1982), 1765.MATHCrossRefGoogle Scholar
  6. [6]
    Venkayya, V. B., Design of Optimum Structures.Computers and Structures,1, 1–2 (1971), 265.CrossRefGoogle Scholar

Copyright information

© Science Press 1986

Authors and Affiliations

  • Xia Renwei
    • 1
  • Liu Peng
    • 1
  1. 1.Beijing Institute of Aeronautics and AstronauticsBeijingChina

Personalised recommendations