Nonlinear Static and Dynamic Behavior of an Imperfect Circular Microplate Under Electrostatic Actuation
In this article, we investigate the nonlinear static and dynamic behavior of a clamped circular microplate in presence of imperfections. By taking in account the von Kàrmàn nonlinearity, the geometrical imperfections lead to a significant delay in static pull-in occurrence. Numerical simulations are performed in the frequency domain to study the dynamic behavior under primary resonance. A parametric analysis is conducted with respect to actuation voltages and initial deflection in order to capture the competition between hardening and softening behavior. Interestingly, we show that a geometric imperfection can change the type of nonlinear response from softening to hardening. In practice, the imperfection can be functionalized to enhance the performances of capacitive micromachined ultrasonic transducers.