Nonlinear forced oscillations of piezoelectric resonators

H. Li; S. Preidikman; B. Balachandran

doi:10.1117/12.597950

19 May 2005 Nonlinear forced oscillations of piezoelectric resonators

H. Li, S. Preidikman, B. Balachandran

Author Affiliations +

Proceedings Volume 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control; (2005) https://doi.org/10.1117/12.597950
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2005, San Diego, California, United States

Abstract

Forced oscillations of piezoelectric, micro-electromechanical (MEMS) resonators fabricated as clamped-clamped composite structures are studied in this effort. Piezoelectric actuation is used to excite these structures on the input side and piezoelectric sensing is carried out on the output side. Each resonator structure is modeled as an Euler-Bernoulli beam with axially varying properties across the length and distributed actuation. A nonlinear integro-partial differential system is derived to describe the micro-resonator. For weak damping and weak forcing, the method of multiple scales is used to obtain an approximate solution of the system about a post-buckling position. The different modeling assumptions are presented and discussed, and the analytical prediction is compared with experimental observation.

Citation Download Citation

H. Li, S. Preidikman, and B. Balachandran "Nonlinear forced oscillations of piezoelectric resonators", Proc. SPIE 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control, (19 May 2005); https://doi.org/10.1117/12.597950

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