Encyclopedia of Earthquake Engineering

2015 Edition
| Editors: Michael Beer, Ioannis A. Kougioumtzoglou, Edoardo Patelli, Siu-Kui Au

Sensitivity of First-Excursion Probabilities for Nonlinear Stochastic Dynamical Systems

  • Marcos ValdebenitoEmail author
  • Hector A. Jensen
Reference work entry
DOI: https://doi.org/10.1007/978-3-642-35344-4_162


First Excursion; Stochastic Dynamics; Sensitivity; Simulation Methods


Quantification of the performance of structural systems subject to dynamic loading is of paramount interest in several fields of engineering and particularly in the case of earthquake engineering. Knowledge on the performance of a structure during seismic events allows taking design decisions that ensure its serviceability and safety throughout its life. Nonetheless, quantification of performance is a challenging task as there is always uncertainty on future loadings that affect a structure during its lifetime. Structural reliability has emerged as a discipline that allows accounting for the unavoidable effects of uncertainty over performance. Thus, probability theory is used to describe the uncertainty associated with different relevant parameters that affect performance by means of random variables, random fields, and/or stochastic processes. In this manner, uncertainty is propagatedfrom...

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© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of Civil EngineeringSanta Maria UniversityCasillaChile