Abstract
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 equations is also studied. Handy expressions for the cross-correlations between the input process and the response sensitivities are also derived. A numerical application shows that the proposed approach is suitable to cope with practical problems of engineering interest.
Lingua originale | English |
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pagine (da-a) | 4344-4361 |
Numero di pagine | 18 |
Rivista | Computer Methods in Applied Mechanics and Engineering |
Volume | 194 |
Stato di pubblicazione | Published - 2005 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.2200.2206???
- ???subjectarea.asjc.2200.2211???
- ???subjectarea.asjc.2200.2210???
- ???subjectarea.asjc.3100.3100???
- ???subjectarea.asjc.1700.1706???