Mathematical Preliminaries.- Moment Equations for Linear Stochastic Dynamic Systems (LSDS).- Moment Equations for Nonlinear Stochastic Dynamic Systems (NSDS).- Statistical Linearization of Stochastic Dynamic Systems Under External Excitations.- Equivalent Linearization of Stochastic Dynamic Systems Under External Excitation.- Nonlinearization Methods.- Linearization of Dynamic Systems with Stochastic Parametric Excitations.- Applications of Linearization Methods in Vibration Analysis of Stochastic Mechanical Structures.- Accuracy of Linearization Methods.
Linearization Methods for Stochastic Dynamic Systems
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Mathematical Preliminaries.- Moment Equations for Linear Stochastic Dynamic Systems (LSDS).- Moment Equations for Nonlinear Stochastic Dynamic Systems (NSDS).- Statistical Linearization of Stochastic Dynamic Systems Under External Excitations.- Equivalent Linearization of Stochastic Dynamic Systems Under External Excitation.- Nonlinearization Methods.- Linearization of Dynamic Systems with Stochastic Parametric Excitations.- Applications of Linearization Methods in Vibration Analysis of Stochastic Mechanical Structures.- Accuracy of Linearization Methods.
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