Mechanical Design Optimization with Transient Dynamic Response.
Interim technical rept. no. 23, Sep 75-Apr 76,
IOWA UNIV IOWA CITY DIV OF MATERIALS ENGINEERING
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In this report a technique for mechanical design optimization with constraints on transient dynamic response is developed through application of optimal design theory and functional analysis. Cost and constraint functions involving the state variables, design parameters, and environmental parameters are first formulated as extreme value functionals. Three equivalent problem formulations are employed to reduce the extreme value functionals to more elementary functional forms. A generalized steepest descent method is used to solve the reduced optimization problem. Through solution of a test problem, the superior equivalent treatment is selected. Several mechanical system problems involving a family of input or environmental excitation functions are solved to illustrate the technique.
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