Stationary Response of a Kind of Nonlinear Stochastic Systems with Variable Mass and Fractional Derivative Damping

Viscoelasticity and variable mass are common phenomena in Micro-Electro-Mechanical Systems (MEMS), could be described by a fractional derivative damping stochastic process, respectively. To study the dynamic influence cased viscoelasticity mass, stationary response of kind nonlinear systems with variable-mass derivative, is investigated this paper. Firstly, an approximately equivalent system studied presented according to Taylor expansion technique. Then, based on averaging energy envelope, corresponding Fokker–Plank–Kolmogorov (FPK) equation deduced, which gives approximated analytical solution response. Finally, oscillator proposed numerical simulations. The compared Monte Carlo solution, verify effectiveness obtained results.