Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators

Motivated by the dynamics of microscale oscillators with thermo-optical feedback, a simplified third-order model capturing the key features of these oscillators is developed, where each oscillator consists of a displacement variable coupled to a temperature variable. Further, the dynamics of a pair...

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Bibliographic Details
Published in:Nonlinear dynamics 2020, Vol.99 (1), p.73-83
Main Authors: Rand, Richard H., Zehnder, Alan T., Shayak, B., Bhaskar, Aditya
Format: Article
Language:English
Subjects:
Automotive Engineering
Bifurcations
Classical Mechanics
Control
Dynamical Systems
Engineering
Mathematical analysis
Mechanical Engineering
Numerical integration
Optical feedback
Original Paper
Oscillators
Vibration
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Summary:Motivated by the dynamics of microscale oscillators with thermo-optical feedback, a simplified third-order model capturing the key features of these oscillators is developed, where each oscillator consists of a displacement variable coupled to a temperature variable. Further, the dynamics of a pair of such oscillators coupled via a linear spring is analyzed. The analytical procedures used are the variational equation method and the two-variable expansion method. It is shown that the analytical results are in agreement with the results of numerical integration. The bifurcation structure of the system is revealed through a bifurcation diagram.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-019-05182-4