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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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Journal ArticleDOI
Contribution to random vibration numerical simulation and optimisation of nonlinear mechanical systems
TL;DR: This study considered the solution of the stochastic vibration of nonlinear mechanical systems with Gaussian random excitations with cross-sectional areas used as optimising parameters and the presented method of statistical linearisation is applied to numerical testing.
Journal ArticleDOI
Robust Design of Seismic Isolation System using Constrained Multi-objective Optimization Technique
Shinyoung Kwag,Seung-Yong Ok +1 more
TL;DR: In this article, a robust optimal design approach of seismic isolation system for bridges against uncertainties in the system such as model parameters of bridge and isolation bearing, for which a constrained multiobjective optimization problem is formulated by using the bi-objective and constraint functions.
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Multi-objective stochastic-structural-optimization of shape-memory-alloy assisted pure-friction bearing for isolating building against random earthquakes
Sourav Gur,Sudib K. Mishra +1 more
TL;DR: In this article, the optimal stochastic performance of pure friction system supplemented with SMArestrainer (SMA-PF) is presented based on a framework of multi-objective optimization.
Journal ArticleDOI
Steady-state dynamic response of various hysteretic systems endowed with fractional derivative elements
TL;DR: In this article, the steady-state dynamic response of hysteretic oscillators comprising fractional derivative elements and subjected to harmonic excitation is examined, and the amplitude of the response is determined analytically by using an equivalent linearization approach.
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Stochastic analysis of nonlinear wave energy converters via statistical linearization
Leandro S. P. da Silva,Leandro S. P. da Silva,Nataliia Y. Sergiienko,Celso Pupo Pesce,Boyin Ding,Benjamin S. Cazzolato,Helio Mitio Morishita +6 more
TL;DR: In this paper, a fast and high-fidelity alternative technique, named statistical linearization (SL), is proposed for the stochastic analysis of nonlinear wave energy converters.