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Article

Dynamic Response Optimization of Piezoelectrically Excited Thin Resonant Beams

[+] Author and Article Information
Sudipta Basak, Arvind Raman, Suresh V. Garimella

School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907-2088

J. Vib. Acoust 127(1), 18-27 (Mar 21, 2005) (10 pages) doi:10.1115/1.1857921 History: Received May 09, 2003; Revised March 29, 2004; Online March 21, 2005
Copyright © 2005 by ASME
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References

Figures

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A photograph of a single-patch (asymmetric configuration) commercial fan from Piezo Systems, Inc.
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Schematic diagram displaying the kinematic quantities of the (a) asymmetrically and (b) symmetrically configured resonators. Note that in (a) the neutral axis jumps at the interface between regions 1, 2 and 3.
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Transverse vibration component of the first and second bending dominated modes of the asymmetrically configured resonator: (a) SC first Mode, (b) SC second Mode, (c) OC first Mode, and (d) OC second Mode. Solid black line: analytical; stars: finite element predictions.
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Longitudinal displacement component of the first bending dominated mode of the asymmetrically configured resonator: (a) SC mode, and (b) OC mode. Solid line: analytical; stars: finite element.
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EMCF variation of the first bending mode of an asymmetric resonator with patch-to-beam length ratio (L2−L1)/L3 and patch-to-beam thickness ratio tp/tb: (a) analytical prediction, and (b) finite element prediction
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Variation of Uconv,USCp,Ub with patch-to-beam thickness ratio (tp/tb) and the resulting EMCF values according to Eq. (27) for a constant length ratio (L2−L1)/L3=0.58. These curves demonstrate why an optimal thickness ratio exists for maximizing the EMCF.
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Variation of Uconv,USCp,Ub with patch-to-beam length ratio [(L2−L1)/L3] and the resulting EMCF values according to Eq. (27) for a constant thickness ratio tp/tb=0.5. These curves demonstrate why an optimal patch-to-beam length ratio exists for maximizing the EMCF.
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EMCF variation of the first bending mode of a symmetric resonator with patch-to-beam length ratio (L2−L1)/L3 and patch-to-beam thickness ratio tp/tb: (a) analytical prediction, and (b) finite element prediction
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Experimental setup for the measurement of EMCF with varying blade lengths of an asymmetrically configured flexural resonator
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A typical impedance plot with steel blade of width 10 mm, height 0.1016 mm, and length 36.65 mm. The piezopatch used is PSI-5A-S4-ENH (thickness=0.1905 mm,Ep=66 GPa) and of length (L2−L1)=10.8 mm and L1=2.3 mm. For a lossless resonator, the minimum in the impedance plot represents the SC frequency or the series resonance frequency, whereas the maximum represents the OC frequency or the parallel resonance frequency. Corresponding SC and OC frequencies for the analytical, finite element model with and without a thin bonding layer are also provided for comparison.
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Variation with length ratio of EMCF of the first bending mode of the asymmetric resonator. Experimental, analytical, and finite element predictions are shown.

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