Response statistics of single degree of nonlinear random structure with nonlinear damping characteristic and nonlinear elastic characteristic under white-noise excitations

The paper investigates the applicability of the path integral solution method for calculating the response statistics of nonlinear dynamic systems whose equations of motion can be modelled by the use linearization differential equations. The present paper consists of discussion on dynamic response o...

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Bibliographic Details
Published inIOP conference series. Materials Science and Engineering Vol. 659; no. 1; pp. 12013 - 12018
Main Authors Stan, P, Stan, M
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.10.2019
Subjects
Damping
Density
Differential equations
Dynamic response
Dynamical systems
Equations of motion
Excitation
Mathematical analysis
Nonlinear dynamics
Nonlinear systems
Random loads
Random processes
Spectral density function
Stiffness
White noise
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Summary:The paper investigates the applicability of the path integral solution method for calculating the response statistics of nonlinear dynamic systems whose equations of motion can be modelled by the use linearization differential equations. The present paper consists of discussion on dynamic response of structures under random load. They are random processes and commonly described by spectral density functions. An identification technique is proposed for a nonlinear oscillator excited by response-dependent white noise. Stiffness, damping and excitation are estimated from records of the stationary stochastic response. Assume that a single-degree of freedom structure is excited by a force which is a random process described by the spectral density function.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/659/1/012013