Open AccessResponse statistics of single degree of nonlinear random structure with nonlinear damping characteristic and nonlinear elastic characteristic under white-noise excitations
Author(s) -
Petre Stan,
Marinica Stan
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/659/1/012013
Subject(s) - nonlinear system , white noise , probability density function , stochastic process , mathematics , mathematical analysis , random vibration , spectral density , linearization , noise (video) , physics , statistical physics , vibration , statistics , quantum mechanics , computer science , image (mathematics) , artificial intelligence
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.