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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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Critical Input and Response of Elastic–Plastic Structures Under Long-Duration Earthquake Ground Motions
Kotaro Kojima,Izuru Takewaki +1 more
TL;DR: In this paper, a closed-form solution of the elastic-plastic response of a single-degree-of-freedom structure under the "critical multiple impulse input" was derived, and the validity and accuracy of the proposed theory were investigated through the comparison with the response analysis to the corresponding sinusoidal input as a representative of the long-duration earthquake ground motion.
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Optimum Tuned Inerter Damper for Base-Isolated Structures
TL;DR: In this article, the optimal damping and tuning frequency ratio of the tuned inerter damper (TID) for the base-isolated structure is obtained using the numerical searching technique under stationary white-noise and filtered white noise earthquake excitation.
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Surge response statistics of tension leg platforms under wind and wave loads: a statistical quadratization approach
TL;DR: In this article, a method of equivalent statistical quadratization is proposed, whereby a statistically asymmetric nonlinearity in the forcing of a tension leg platform (TLP) is cast in a quadratic form.
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Monte Carlo simulation in the stochastic analysis of non-linear systems under external stationary Poisson white noise input
TL;DR: In this article, a method for the evaluation of the probability density function (p.d.) of non-linear systems under external stationary Poisson white noise excitation is presented, taking advantage of the great accuracy of the Monte Carlo simulation (MCS) in evaluating the first two moments of the response process by considering just few samples.
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Improved stochastic linearization technique for structures with nonlinear viscous dampers
TL;DR: It is proved that, for the kind of nonlinearity induced by FVDs, this version of FB-G-SLT is not the best choice, especially if the velocity-related response is of major importance in an optimal design process, and an equal-energy non-Gaussian SLT (EE-NG- SLT) is found to be superior.