Dynamics of V-Shaped Electrothermal MEMS-Based Resonators

In this work, we study experimentally, analytically, and numerically the dynamics of electrothermally actuated micro-electro-mechanical V-shaped micro-beam resonators. Upon actuating the micro-beams electrothermally, we examine the various scenarios of natural frequencies crossing and avoided-crossing (veering) among the various vibration modes. The effect of various parameters is experimentally investigated on the veering and crossing including the micro-beam width and the initial rise at the mid-point. An analytical study is presented based on a reduced order model of a nonlinear Euler-Bernoulli shallow arch beam model. The dynamic behavior is also confirmed through a multi-physics finite-element model (FEM). The static and dynamic behaviors of the V-shaped micro-beams are compared against those of Arc-shaped micro-beams.