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Optimum design of stochastically excited non-linear dynamic systems without geometric constrains
Oblak, Maks ; Lesnika, Aleš ; Butinar, Branko
This paper presents an efficient procedure for min-max dynamic response optimization of stochastically excited nonlinear systems with multiple time-delayed inputs. This procedure employs a stochastic ...linearization technique to overcome system non-linearity and auto-covarinace analysis technique to represent the original stochastic mechanical model in a suitable form for optimization. Special attention is given to the sensitivity analysis, which is due to the complex nature of the problem. Therefore, exact expressions are obtained in a simple form for the evaluation of the required gradients, which greatly improve the stability and efficiency of the optimization algorithm. The numerical results and performance are presented by means of solving two min-max dynamic response optimization problems.
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