Design sensitivity analysis and optimization of nonlinear structural response using incremental procedure. (English) Zbl 0622.73109

Wu, C. C.; Arora, J. S.

AIAA J. 25, 1118-1125 (1987).

This paper describes procedures for design sensitivity analysis of nonlinear structural response using the incremental solution scheme. The total and updated Lagrangian approaches are discussed. Sensitivity analyzes for the stress, strain, and displacement constraints are developed. In the optimization process, the buckling load constraint is also imposed. Numerical aspects of design sensitivity analysis are discussed. Three numerical examples are solved to illustrate the design sensitivity analysis and optimization process. The numerical procedures are stable and work well. They can be applied to more complex structures to optimize them.

MSC:

74P99

Optimization problems in solid mechanics

Keywords:

design sensitivity analysis; nonlinear structural response; incremental solution scheme; total and updated Lagrangian approaches; stress; strain; displacement constraints; buckling load constraint