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Reliability based stability analysis for actively controlled structures
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DOI：10.1016/S0141-0296(97)00071-0.png)
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Abstract
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The long-term goal of the research activity in progress is the optimization of control strategies under reliability objectives. Different control concepts and different reliability target formulations can be compared. In particular, reliability criteria based on crossing rates and on direct approximations of the maxima of random fields could be adopted. The direct method is based on an approximation of the underlying field by a finite expansion of shape functions. Stability is a basic property of a closed-loop system, it guarantees that the system will reach an equilibrium state after external or internal disturbances. In this paper, attention is focused on the stability analysis of a nonlinear control scheme. For this purpose, the significant values of the response variables are the ones at the time the external excitation stops. Measures of stability are derived by FORM/SORM methods as probabilities of starting the free vibration within an assigned region in the phase space. Sensitivity factors for the various system parameters are derived. The sensitivities are given in terms of the limit state functions at the maximum likelihood point. (C) 1997 Published by Elsevier Science Ltd.
Keywords:
active control
FORM/SORM methods
reliability analysis
stability analysis
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