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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
Stochastic dynamics of nonlinear systems with a fractional power-law nonlinear term: The fractional calculus approach
TL;DR: In this paper, the Riesz fractional operator is used to model nonlinear fluid viscous-elastic dampers under external Gaussian white noise excitation, and an efficient numerical procedure to handle the problem is also proposed.
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Dynamic Stability and Random Vibrations of Rigid and Elastic Wheelsets
H. Claus,Werner Schiehlen +1 more
TL;DR: In this paper, a stability analysis and vibration studies are presented for a passenger coach model which is equipped with rigid or elastic wheels, and the elastic components between wheel rim and disc act as third suspension reducing the unsprung mass and isolating the passenger coach from the high frequency motion of the wheel rim.
Journal ArticleDOI
State uncertainty propagation in the presence of parametric uncertainty and additive white noise
TL;DR: In this paper, an alternative approach is proposed for uncertainty evolution in linear uncertain models driven by white noise, based on the polynomial chaos (PC) series expansion of second order random processes, which has been used in several domains to solve stochastic systems with parametric and initial condition uncertainties.
Journal ArticleDOI
Phase-Space Linearization for Non-Linear Oscillators: Deterministic and Stochastic Systems
TL;DR: In this paper, a semi-analytical phase-space linearization (PSL) scheme for a class of non-linear oscillators is developed based on replacement of the nonlinear vector field by a set of linear ones, each valid over a short segment of the evolving trajectory or over sufficiently small interval of time.
Proceedings Article
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