Damping in micro-scale generalized thermoelastic circular plate resonators
Related Experiment Video
Updated: Jun 5, 2026

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
Published on: February 4, 2018
1Department of Mathematics, National Institute of Technology, Hamirpur 177 005, India. jns@nitham.ac.in
Abstract:
The out-of-plane vibrations of a generalized thermoelastic circular plate are studied under different environmental temperature, plate dimensions and boundary conditions. The analytical expressions for thermoelastic damping of vibration and phase velocity of circumferential surface wave modes are obtained. It is noticed that the damping of vibrations and phase velocities of circumferential surface wave modes significantly depend on thermal relaxation time in addition to thermoelastic coupling in circular plates under resonance conditions. The surface conditions also impose significant effects on the vibrations of such resonators. The expressions for displacement and temperature fields in the plate resonator are also derived and obtained. Some numerical results have also been presented for illustration purpose in case of silicon material plate.
Related Concept Videos
Types of Damping
Magnetic Damping
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
Design Example: Underdamped Parallel RLC Circuit
Starting with a fixed...
Damped Oscillations
Although friction and other non-conservative...
Concept of Resonance and its Characteristics
RLC Series Circuits

