A modal approach for the evaluation of the response sensitivity of structural systems subjected to non-stationary random processes
Cacciola, P., Colajanni, P. and Muscolino, G. (2005) A modal approach for the evaluation of the response sensitivity of structural systems subjected to non-stationary random processes Computer Methods in Applied Mechanics and Engineering, 194 (42-44). pp. 4344-4361. ISSN 0045-7825
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A method for the evaluation of the response sensitivity of both classically and non-classically damped discrete linear structural systems under stochastic actions is presented. The proposed approach requires the following items: (a) a suitable modal expansion of the response; (b) the derivation in analytical form of the equations governing the evolution of the derivatives of the response (the so-called sensitivity equations) with respect to the parameters that define the structural model; (c) an extensive use of the Kronecker algebra for determining the analytical expressions of the sensitivity of the structural response statistics to non-stationary random input processes. Moreover, a step-by-step integration scheme able to solve the sensitivity
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