摘要
利用广义谐和函数导出带传驱动机构的非线性随机振动的平均伊藤随机微分方程,用有限差分法求解平稳FPK方程得到系统的近似稳态响应,分析激励带宽与阻尼系数对随机跳跃分岔的影响。用原方程的MonteCarlo模拟结果验证理论结果的准确性。
The averaged It stochastic differential equations for nonlinear random vibration of belt driver mechanism are obtained by using the generalized harmonic functions.Then,the approximately stationary response is obtained by solving the reduced PFK equation using the finite difference method and the effect of the bandwidth of excitation and damping coefficient on the bifurcation of stochastic jump is investigated.Finally,numerical results are verified by using the results from Monte Carlo simulation of original system.
出处
《浙江理工大学学报（自然科学版）》
2010年第6期905-908,共4页
Journal of Zhejiang Sci-Tech University(Natural Sciences)
基金
华侨大学引进人才科研启动基金(09BS622)
关键词
带传驱动系统
非线性随机振动
FPK方程
随机平均
稳态响应
belt driver mechanism
nonlinear random vibration
PFK equation
stochastic averaging
stationary response
