Investigation of dynamic pull-in instability of suspended microchannel resonators using homotopy analysis method

In this article, dynamic pull-in instability of a suspended microchannel resonator (SMR) is studied by using homotopy analysis method which leads to a semi-analytic solution. The corresponding SMR is modeled using the modified strain gradient theory. Also, the micro-flow size effect corresponding to the profile of flow velocity and the fringing field effect associated with the electrostatic actuation will be considered in model development of the SMR. Moreover, the effects of flow velocity on dynamic pull-in instability will be investigated and a comparison with two other theories of continuum mechanics, namely modified couple stress theory and classical theory will be made. It is illustrated that the simulation results agree well with numerical previously published data.