Response of fractional Duffing oscillator with viscoelastic term under random excitation
作者单位：西北工业学理学院应用数学系 Department of Applied Mathematics Northwestern Polytechnical University
会议名称：《第三届海峡两岸动力学、振动与控制学术会议》
会议日期：2013年
学科分类：08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）]
关 键 词：fractional, exponential integral viscoelastic damping, narrow band noise, frequency amplitude response, FPK, stochastic jump.
摘 要：This paper deals with the stochastic Duffing oscillator with fractional damping and viscoelastic term subject to narrow-band noise. A modified Lindstedt-Poincaré (L-P) method is applied to get the second order approximate analytical solution. The frequency amplitude response equations in deterministic case and the mean and second steady-state moments in stochastic case are derived. Numerical simulation is used