Journal ArticleDOI
Linearization Function of a Complex Nonlinear Two-Force-Element
TLDR
The determination of the linearization function for a complex TFE composed of a parallel spring and damper, both having characteristics described by polynosmial functions is described.Abstract:
Output force of a nonlinear two-force-element (TFE) excited by a stationary random process is stationary random as well and is described by its autocorrelation function Dependence of this autocorrelation function on the autocorrelation functions of the excitation process and of its velocity and on their crosscovanance function is indicated by the linearization (describing) function This paper describes the determination of the linearization function for a complex TFE composed of a parallel spring and damper, both having characteristics described by polynosmial functions Knowledge of the linearization function is necessary for carrying out the second order linearization procedure of nonlinear dynamic systems excited by stationary random processes described in ‘1’, ‘2’, ‘3’read more
Citations
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Book ChapterDOI
Linearization Techniques in Stochastic Dynamic Systems
TL;DR: In this paper, a review of linearization methods in analysis of stochastic dynamic systems is presented, in particular moment criteria, energy criteria, linearization criteria in the space of power spectral density functions and probability density functions.
References
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Journal ArticleDOI
Nonlinear Control Engineering
TL;DR: In this paper, a nonlinear control engineering (NCE) approach is proposed to solve the problem of NCE in the context of NCLE, where NCE is applied to control engineering.
Journal ArticleDOI
Modified Second Order Linearization Procedure - Problems Encountered and Their Solution
TL;DR: A modified second order linearization method for solving stationary stochastic vibrations of nonlinear dynamic systems in the frequency domain was described by the author in 1986 as mentioned in this paper, but some problems with its use for lightly damped systems containing springs with cubic characteristics were encountered in the praxis.
Journal ArticleDOI
Linearization of Non-Linear Stochastically Excited Dynamic Systems by a Modified Second-Order Procedure
TL;DR: In this paper, an enhanced second-order linearization method for linearization of non-linear dynamic systems excited by stationary stochastic input processes is outlined, which enables a better approximation of the system's responses under given external excitation as well as a reasonably accurate determination of the coherences of all processes taking place in the system.