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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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Hybrid Passive Control Strategies for Reducing the Displacements at the Base of Seismic Isolated Structures
TL;DR: Data show that the New TMD is the most effective in controlling the response of base-isolated structures so that it can be considered as a practical and appealing means to mitigate the dynamic response of Base Isolated structures.
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Nonlinear Oscillator Stochastic Response and Survival Probability Determination via the Wiener Path Integral
TL;DR: In this paper, a Wiener path integral (WPI) technique based on a variational formulation is developed for nonlinear oscillator stochastic response determination and reliability assessment, which is done in conjunction with a Stochastic averaging/linearization treatment of the problem.
Journal ArticleDOI
Recent Results in Random Vibrations of Nonlinear Mechanical Systems
TL;DR: In this article, the authors describe some recent developments in the theory of nonlinear random vibration based on Markov methods and related problems in the design of dynamical systems, and the main results of studying the responses of single and two-degree-of-freedom systems to random excitations obtained by the author and others are discussed.
Dissertation
Statistics of Wave Induced Nonlinear Loads and Responses
TL;DR: In this paper, the mean level upcrossing rate of nonlinear, compliant offshore structures subjected to a random seaway is calculated for the first time, and the main object of the paper is to calculate the response statistics of such processes.
Journal ArticleDOI
An Approach to the Problem of Closure in Non-Linear Stochastic Mechanics'
Nguyen Dong Anh,Werner Schiehlen +1 more
TL;DR: In this paper, an approach combining the method of moment equations and the statistical linearization technique is proposed for analysis of the response of non-linear mechanical systems to random excitation, which yields good accurate results for both weak and strong nonlinear stochastic systems.