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
|Number of pages||18|
|Journal||Computer Methods in Applied Mechanics and Engineering|
|Publication status||Published - 2005|
- Modal analysis
- Stochastic response
- Non-stationary process
Cacciola, P., Colajanni, P., & 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), 4344-4361.