Abstract
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.
Keywords: nonlinear vibration, linearization differential equations, spectral density function.