Model for thermoelastic actuation of an axisymmetric isotropic circular plate via an internal harmonic heat source
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...
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| Veröffentlicht in: | International journal of solids and structures 2011-05, Vol.48 (10), p.1466-1473 |
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| container_end_page | 1473 |
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| container_issue | 10 |
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| container_title | International journal of solids and structures |
| container_volume | 48 |
| creator | Griffin, Benjamin A. Chandrasekaran, Venkataraman Williams, Matthew D. Sankar, Bhavani V. Sheplak, Mark |
| description | 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. |
| doi_str_mv | 10.1016/j.ijsolstr.2011.01.029 |
| format | Article |
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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. 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| ispartof | International journal of solids and structures, 2011-05, Vol.48 (10), p.1466-1473 |
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| source | Elsevier ScienceDirect Journals Complete; EZB-FREE-00999 freely available EZB journals |
| subjects | Actuation Analytical and numerical techniques Axisymmetric Computational efficiency Exact sciences and technology Fundamental areas of phenomenology (including applications) General equipment and techniques Harmonics Heat conduction Heat sources Heat transfer Instruments, apparatus, components and techniques common to several branches of physics and astronomy Low frequencies Mathematical analysis Mathematical models MEMS Physics Plate Proximity sensor Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics Thermoelastic Transducers Wave equations |
| title | Model for thermoelastic actuation of an axisymmetric isotropic circular plate via an internal harmonic heat source |
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