Exploring and Exploiting Resonances in MEMS

 

Professor Steven W. Shaw

Michigan State University

Department of Mechanical Engineering

 

In this presentation I will discuss two types of MEMS (micro-electro-mechanical systems) with interesting resonance features.  These resonances are useful for sensing, for example, by measuring shifts in resonance peaks that arise due to changes in environmental characteristics.  The first part of the presentation describes the development of a class of sensors that are capable of simultaneously measuring multiple resonance shifts using a single input and a single readout.  These multi-degree-of-freedom micro-systems exploit the linear frequency response of a proof mass to which are attached several individual sensor oscillators.  The proof mass is driven electrostatically and the measurement scheme exploits vibration modes of the overall coupled system in which vibration energy is sequentially localized in the individual sensor oscillators.  The general features of these systems will be described, along with experimental verification and some design issues related to further development.  The second topic deals with parametric resonance in a general class of electrostatically excited devices.  These systems feature instabilities that have some desirable features for sensing.  However, the nonlinear responses of these devices are often observed to vary between hardening and softening, depending in a complicated manner on the excitation and system parameters.  We describe a simple model for such systems that captures these phenomena in a systematic manner.  By employing appropriate scaling, a perturbation method can be applied to provide a complete description of the response and its dependence on system and excitation parameters.  Experimental verification of the theory is demonstrated, and it is shown how these results can be used to assist in the design of devices that utilize parametric resonance.

 

The work described is being carried out in collaboration with Professors Kimberly Turner and Jeff Moehlis of the University of California-Santa Barbara, and graduate students Jeff Rhoads (MSU) and Barry Demartini (UCSB).

 

 

Friday, October 12, 2007

3:30 – 4:30 p.m.

Rm. 1500 EECS