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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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Importance sampling for randomly excited dynamical systems
M. Macke,Christian Bucher +1 more
TL;DR: An importance sampling technique for linear and non-linear dynamical systems subjected to random excitations is presented in this article, where Monte Carlo simulation technique is used to estimate first-passage probabilities of typical oscillators under external white-noise excitation.
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Analysis of crosswind fatigue of wind-excited structures with nonlinear aerodynamic damping
TL;DR: In this paper, the crosswind fatigue analysis of wind-excited flexible structures at the vicinity of vortex lock-in speed where the nonlinear aerodynamic damping effect is significant is addressed.
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Frequency domain analysis of a tension leg platform with statistical linearization of the tendon restoring forces
TL;DR: In this article, a linearized frequency domain analysis of a tension leg platform is presented, where the nonlinear restoring function and tangent stiffness matrix are derived and extensive nonlinear couplings between the different modes are found to exist.
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A Dynamic Model of Ballasted Rail Track with Bituminous Sub-Ballast Layer
TL;DR: In this article, an analytical model of a ballasted rail track with sub-ballast layer has been proposed by considering the rail as viscous-elastic continuous beam discretely supported, at four levels of elasticity.
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Effective linear damping and stiffness coefficients of nonlinear systems for design spectrum based analysis
TL;DR: In this article, a stochastic approach for obtaining reliable estimates of the peak response of nonlinear systems to excitations specified via a design seismic spectrum is proposed, which is achieved in an efficient manner without resorting to numerical integration of the governing nonlinear equations of motion.