Smart Structures and Systems

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A reliability-based criterion of structural performance for structures with linear damping

  • Received : 2006.01.01
  • Accepted : 2006.07.11
  • Published : 2006.10.25
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Abstract

The reliability analysis of structures subjected to stochastic loading involves evaluation of time and probability of the system's residence in a reference domain. In this paper, we derive an asymptotic estimate of exit time for multi-degrees-of-freedom structural systems. The system's dynamics is governed by the Lagrangian equations with linear dissipation and fast additive noise. The logarithmic asymptotic of exit time is found explicitly as a sum of two terms dependent on kinetic and potential energy of the system, respectively. As an example, we estimate exit time and an associated structural performance for a rocking structure.

Keywords

References

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  1. The Melnikov criterion of instability for random rocking dynamics of a rigid block with an attached secondary structure vol.11, pp.1, 2010, https://doi.org/10.1016/j.nonrwa.2008.12.001
  2. Explicit asymptotic solutions for a class of weak-noise escape problems vol.24, pp.1, 2009, https://doi.org/10.1016/j.probengmech.2008.01.002
  3. Control of a weakly perturbed Lagrangian system with a guaranteed escape rate vol.26, pp.1, 2011, https://doi.org/10.1016/j.probengmech.2010.06.005