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Non-stationary response of nonlinear systems with singular parameter matrices subject to combined deterministic and stochastic excitation
A new technique is proposed for determining the response of multi-degree-of-freedom
nonlinear systems with singular parameter matrices subject to combined deterministic and …
nonlinear systems with singular parameter matrices subject to combined deterministic and …
Lyapunov exponents and stochastic stability of quasi-integrable-Hamiltonian systems
WQ Zhu, ZL Huang - 1999 - asmedigitalcollection.asme.org
The averaged equations of integrable and nonresonant Hamiltonian systems of multi-
degree-of-freedom subject to light dam** and real noise excitations of small intensities are …
degree-of-freedom subject to light dam** and real noise excitations of small intensities are …
Nonlinear transition dynamics in a time-delayed vibration isolator under combined harmonic and stochastic excitations
Based on the quasi-zero stiffness vibration isolation (QZS-VI) system, nonlinear transition
dynamics have been investigated coupled with both time-delayed displacement and velocity …
dynamics have been investigated coupled with both time-delayed displacement and velocity …
Lyapunov exponent and stochastic stability of quasi-non-integrable Hamiltonian systems
WQ Zhu - International Journal of Non-Linear Mechanics, 2004 - Elsevier
An n degree-of-freedom (DOF) non-integrable Hamiltonian system subject to light dam**
and weak stochastic excitation is called quasi-non-integrable Hamiltonian system. In the …
and weak stochastic excitation is called quasi-non-integrable Hamiltonian system. In the …
Stochastic stability control analysis of an inclined stay cable under random and periodic support motion excitations
The stochastic stability control of the parameter-excited vibration of an inclined stay cable
with multiple modes coupling under random and periodic combined support disturbances is …
with multiple modes coupling under random and periodic combined support disturbances is …
Stochastic averaging for SDOF strongly nonlinear system under combined harmonic and Poisson white noise excitations
W Liu, Z Guo, X Yin - International Journal of Non-Linear Mechanics, 2020 - Elsevier
A stochastic averaging method for single degree of freedom (SDOF) strongly nonlinear
system under combined harmonic and Poisson white noise excitations is proposed by using …
system under combined harmonic and Poisson white noise excitations is proposed by using …
Stochastic averaging of strongly nonlinear oscillators under combined harmonic and wide-band noise excitations
YJ Wu, WQ Zhu - 2008 - asmedigitalcollection.asme.org
Physical and engineering systems are often subjected to combined harmonic and random
excitations. The random excitation is often modeled as Gaussian white noise for …
excitations. The random excitation is often modeled as Gaussian white noise for …
Moment Lyapunov exponent and stochastic stability of binary airfoil under combined harmonic and Gaussian white noise excitation
In this paper, the moment Lyapunov exponent and stochastic stability of binary airfoil under
combined harmonic and Gaussian white noise excitation are investigated. Via the singular …
combined harmonic and Gaussian white noise excitation are investigated. Via the singular …
Investigation on the EPC method in analyzing the nonlinear oscillators under both harmonic and Gaussian white noise excitations
The objective of the current paper is to study and extend the exponential-polynomial-closure
(EPC) method in analyzing the non-stationary response probabilistic solutions of nonlinear …
(EPC) method in analyzing the non-stationary response probabilistic solutions of nonlinear …
Vibrations of a nonlinear stochastic system with a varying mass under near resonant excitation
Dynamics of a nonlinear second order system with a stochastically varying mass is
considered in the article. The system is under an external time-harmonic loading, which is …
considered in the article. The system is under an external time-harmonic loading, which is …