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Model for thermoelastic actuation of an axisymmetric isotropic circular plate via an internal harmonic heat source

✍ Scribed by Benjamin A. Griffin; Venkataraman Chandrasekaran; Matthew D. Williams; Bhavani V. Sankar; Mark Sheplak


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
605 KB
Volume
48
Category
Article
ISSN
0020-7683

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✦ Synopsis


This paper presents a reduced analytical modeling method for the initial optimal design of thermoelastic micromachined actuators. The key aspects of the model are a Green's function formulation of the axisymmetric heat conduction equation that incorporates an internal heat source and the solution of the thermoelastically forced bending wave equation. Model results of a representative thermoelastic structure include transient temperature and sinusoidal steady state transverse displacement. Comparison with finite element analysis shows excellent agreement with favorable computational costs. Model constraints at low frequencies are identified and discussed. The computational efficiency of the analytical model makes it a more viable modeling method for design optimization.