Random Response of a Strongly Nonlinear Oscillator with Internal and External Excitations ()
ABSTRACT
A second order oscillator with
nonlinear restoring force and nonlinear damping is considered: it is subject to
both external and internal (parametric) excitations of Gaussian white noise
type. The nonlinearities are chosen in such a way that the associated Fokker-Planck-Kolmogorov
equation is solvable in the steady state. Different choices of some system
parameters give rise to different and interesting shapes of the joint
probability density function of the response, which in some cases appears to be
multimodal. The problem of the determination of the power spectral density of
the response is also addressed by using the true statistical linearization
method.
Share and Cite:
Floris, C. (2019) Random Response of a Strongly Nonlinear Oscillator with Internal and External Excitations.
Journal of Applied Mathematics and Physics,
7, 331-342. doi:
10.4236/jamp.2019.72025.
Cited by
No relevant information.