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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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Parametric study of stochastic seismic responses of base-isolated liquid storage tanks under near-fault and far-fault ground motions:
Sina Safari,Reza Tarinejad +1 more
TL;DR: In this paper, the authors investigated the response of base isolated steel liquid storage tanks by a stochastic approach in frequency domain and found that near-fault earthquake excitations amplify the overall response of the system.
Journal ArticleDOI
Analysis and optimization of multiple tuned mass dampers with coulomb dry friction
Sung-Yong Kim,Cheol-Ho Lee +1 more
TL;DR: In this paper, the Coulomb dry friction force is incorporated as an energy dissipation mechanism to deal with the nonlinearity of the CDF force, which is a source of difficulty in the optimization process, and a statistical linearization that replaces the original nonlinear system with an equivalent linear system is adopted.
Journal ArticleDOI
Critical Response of 2DOF Elastic–Plastic Building Structures under Double Impulse as Substitute of Near-Fault Ground Motion
TL;DR: In this paper, the double impulse is introduced as a substitute of the fling-step near-fault ground motion and a critical elastic-plastic response of a 2DOF building structure under the "critical double impulse" is evaluated.
Journal ArticleDOI
Asymptotic analysis and linearization of the randomly perturbed two-wells Duffing oscillator
M. Alaoui Ismaili,Pierre Bernard +1 more
TL;DR: In this paper, an approach based on asymptotic expansions of dynamical systems driven by weak random perturbations is introduced to approximate the dynamics of a non-linear oscillator with multiple static equilibrium excited by a white noise.
Posted Content
A moment-equation-copula-closure method for nonlinear vibrational systems subjected to correlated noise
TL;DR: In this paper, a moment equation closure minimization method was developed for the inexpensive approximation of the steady state statistical structure of nonlinear systems whose potential functions have bimodal shapes and which are subjected to correlated excitations.