Abstract
Considerable progress has been made in developing analytical methods for design sensitivity analysis of structural and mechanical systems. Sensitivity expressions require numerical implementation of several steps before the final sensitivity vectors are obtained. This is particularly true for problems involving transient dynamic response and shape optimization. Therefore, it is important to verify numerical implementation and calculations based on the analytical sensitivity expressions before optimization of the problem is carried out. This paper describes three numerical procedures for verification of the sensitivity calculations. An example from optimal control literature is used to demonstrate the procedures and make recommendations for practical applications
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