Search

Considering the effects of nonlinear damping, the vibration stability of the parametrically excited piezoelectric beams is studied. The Hamilton principle is applied to derive the equation of motion and the method of multiple scales is tied to solve the amplitude values of the stationary response. The numerical example is given to analyze the effects of the voltage, axial force and nonlinear damping on the stability of the steady solution. From the results that the difference ΔV between the applied Outer voltage and the electric potential deference between the upper and lower surfaces of the piezoelectric layer mainly affects the range of the independent variable σ/ω and has slight effects on the stability of the steady solution; the smaller the axial force, the larger the stable regions of the steady solution; and the larger the constant and quadratic terms of the nonlinear damping, the larger the stable regions of the steady solution. [ABSTRACT FROM AUTHOR]