Open AccessBook
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
Citations
More filters
Journal ArticleDOI
Transition-event duration in one-dimensional systems under correlated noise
TL;DR: In this article, an approximate theoretical method is proposed to obtain the transition-event duration distribution (TEDD) of one-dimensional bi-stable strongly nonlinear systems under correlated noises.
Journal ArticleDOI
Exact statistics for linear time delayed oscillators subjected to Gaussian excitation
TL;DR: In this article, the authors presented exact steady-state solutions for the probability density functions (pdf's) for linear time delayed oscillators subjected to Gaussian excitation of arbitrary correlation.
Journal ArticleDOI
Stochastic Dynamic Analysis of Inelastic Structures Using Force Analogy Method
TL;DR: In this paper, a stochastic force analogy method (SFAM) was proposed for dynamic analysis of inelastic structures. But the method is not suitable for the case of rigid structures.
Journal ArticleDOI
Global–local mean square error criterion for equivalent linearization of nonlinear systems under random excitation
TL;DR: In this article, a dual approach with respect to the local mean square error criterion to multi-degree-of-freedom nonlinear systems under stationary Gaussian random excitation is presented. And the results show that the accuracy of solutions by the proposed criterion is significantly improved in comparison with the one by the classical equivalent linearization method, especially when the nonlinearity is strong.
Dissertation
Stability analysis of a phase plane control system
TL;DR: In this paper, a constrained optimization approach is also used to design flex filters for roll control, and two filters are designed in this thesis; one meets PWM stability margin specifications and the other holds for Popov stability.