ICNPAA 2010: Mathematical Problems in
Engineering, Aerospace and Sciences

Nowadays, the technology of micro-electro-mechanical systems (MEMS) has many applications on Engineering Sciences. This technology allows that the movement to be expressed by a function of micro-scale ranging devices. However, the design of such mechanical systems can be quite challenging due to nonlinear effects which may strongly affect the dynamics behavior. The MEMS problem studied here is composed of an inverted pendulum fixed in a suspension space of mass movements having two degrees of freedom. The physical model under study is implemented by coupling between the electrodynamic engine and the system of inverted pendulum. This implementation concludes a model of a micro-tuning-fork gyroscope coupling with an electrodynamic engine. The numerical simulations are then carried out and one can obtain the vibration modes of the MEMS model. This model is excited by a sinusoidal voltage which applied to an electro-dynamic engine. The study also shows an interdependence of the inverted pendulum and the engine dynamics so that the pendulum motion influences on the vertical excitation supplied by the engine.