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Random vibration and statistical linearization
J.B. Roberts,Pol D. Spanos +1 more
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TLDR
In this paper, a comprehensive account of statistical linearization with related techniques allowing the solution of a very wide variety of practical non-linear random vibration problems is given, and the principal value of these methods is that they are readily generalized to deal with complex mechanical and structural systems and complex types of excitation such as earthquakes.Abstract:
Interest in the study of random vibration problems using the concepts of stochastic process theory has grown rapidly due to the need to design structures and machinery which can operate reliably when subjected to random loads, for example winds and earthquakes. This is the first comprehensive account of statistical linearization - powerful and versatile methods with related techniques allowing the solution of a very wide variety of practical non-linear random vibration problems. The principal value of these methods is that unlike other analytical methods, they are readily generalized to deal with complex mechanical and structural systems and complex types of excitation such as earthquakes.read more
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Journal ArticleDOI
Nonlinear biodynamics of passengers coupled with quarter car models
TL;DR: In this article, the authors investigated the effect of the excitation amplitude and frequency content on several response quantities related to the dynamic performance of the human and the vehicle components, including the influence of the seat suspension stiffness and damping characteristics.
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Bayesian Time Series Models: Approximate inference for continuous-time Markov processes
Cédric Archambeau,Manfred Opper +1 more
TL;DR: A promising variational approach to the inference problem for continuous-time Markov processes is discussed, which was introduced by Archambeau et al. (2007, 2008).
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An importance sampling procedure for estimating failure probabilities of non-linear dynamic systems subjected to random noise
A. Ivanova Olsen,Arvid Naess +1 more
TL;DR: In this article, an iterative variance reduction scheme is used in a framework of a measure change in the space of sample functions according to the Girsanov transformation, which is based on introducing a Markov control process.
Journal ArticleDOI
The role of the stochastic equivalent linearization method in the analysis of the non‐linear seismic response of building structures
TL;DR: The stochastic equivalent linearization (SLE) method has been used for estimating the first and second-order statistical moments of the random response process of MDOF nonlinear building structures.
Journal ArticleDOI
Optimal finite locally resonant metafoundations enhanced with nonlinear negative stiffness elements for seismic protection of large storage tanks
TL;DR: In this paper, the authors apply the concept of negative stiffness to a metamaterial-based foundation system and analyse the potential improvements such a mechanism may have on the metammaterial as well as the coupled structural behavior.