Dynamic Analysis of a Piezothermoelastic Resonator with Various Shapes

[+] Author and Article Information
Rong-Fong Fung, Jeng-Sheng Huang, Shang-Chin Jan

Department of Mechanical Engineering, Chung Yuan Christian University, Chung-Li, Taiwan 32023, R.O.C.

J. Vib. Acoust 122(3), 244-253 (Jan 01, 2000) (10 pages) doi:10.1115/1.1303123 History: Received June 01, 1999; Revised January 01, 2000
Copyright © 2000 by ASME
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(a) Schematic diagram of the piezothermoelastic beam; (b) conduction, convection, and heat source in a beam of uniform cross-section
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The ith beam element undergoing gross motion and elastic deformation
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(a) Calculating the steady-state temperature rise distribution of the piezothermoelastic resonator beam; (b) the initial axial nodal deflection u(x,0) by the thermal effect of the resonator beam
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The axial, transverse transient amplitudes and rotation angle of the piezothermoelastic resonator beam for the force vibration with f=38000 Hz and the steady-state temperature effect. (a) Axial deflection uu (– with temperature effect, [[dashed_line]] without temperature effect). (b) Transverse deflection va. (c) Rotation angle deflection φa. (d) Comparison of the trajectory at the beam tip during 0.9×10−2s≤t≤1×10−2s. (– with temperature effect, [[dashed_line]] without temperature effect.)
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Some possible various shapes in which the aluminum material part of the piezothermoelastic resonator; (a) The stepped shape; (b) the linear shape; (c) the exponential shape
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(a) Comparison of the steady-state temperature rise distribution of the various shapes for the resonator beam; (b) Comparison of the initial axial nodal deflections with the steady-state temperature effect of the various shapes for the resonator beam
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Comparison of the transient responses of the linear resonator with exponential resonator. (a, b, c, d) are the axial deflection ua, transverse deflection va, rotation angle deflection φa, and trajectory of the beam tip where the during 0.9×10−2s≤t≤1×10−2s for the linear shape. (e, f, g, h) are the same as for the exponential shape.
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Comparison of the tip trajectories of some possible shapes for the resonator during 0.9×10−2s≤t≤1×10−2s. (– the stepped shape; [[long_dash_short_dash]] the linear shape; [[ellipsis]] the exponential shape.)




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