Stationary response analysis of MDOF quasi integrable Hamiltonian systems with fractional derivative damping
The stationary response analysis of multi-degree-of-freedom (MDOF) quasi integrable Hamiltoniansystems involving fractional derivative damping subject to Gaussian white noise excitations is considered. Basedon the generalized ver der Pol transformation and a stochastic averaging principle, the averaged Ito equations ofboth non-resonant and internal resonant cases are deduced and then converted into the averaged Ito equations forfirst integrals through Ito differential rule, respectively. The associated Fokker-Plank-Komogorov(FPK) equationsare derived and the stationary probability density function and response statistics of systems are obtained bysolving the reduced FPK equation numerically. Applications of the scheme are illustrated by one example of oneexample of two coupled ver del Pol oscillators with fractional derivative damping under random excitations, andits accuracy is substantiated by Monte Carlo simulation results.
fractional derivative damping quasi integrable Hamiltonian systems stationary response multi-degree-of-freedom
Lincong Chen Qingqu Zhuang Weiqiu Zhu
College of Civil Engineering, Huaqiao University, 361021, Xiamen, China College of Mathematical Science, Huaqiao University, 362021, Quanzhou, China Departments of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang Uni
国内会议
哈尔滨
英文
1-16
2011-08-22（万方平台首次上网日期，不代表论文的发表时间）