Structural design sensitivity analysis of nonlinear response

Abstract Design sensitivity analysis is a necessary step for optimum design of structural systems. Methods of such analysis for linear systems have been developed, evaluated, and well documented. However, their development for nonlinear systems is in its infancy. The paper presents several procedures for design sensitivity analysis of nonlinear response. Each method requires a different numerical implementation scheme. Promising methods are evaluated analytically as well as numerically through a simple example problem. Some optimum solutions are also presented. Based on the study, proper numerical procedures and strategies can be developed for implementation into large commercial programs (such as ADINA) for the design sensitivity analysis and optimization of nonlinear systems.

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