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Flexural vibrations and resonance of piezoelectric cantilevers with a nonpiezoelectric extension
Please use this identifier to cite or link to this item:
http://hdl.handle.net/1860/2716
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| Title: | Flexural vibrations and resonance of piezoelectric cantilevers with a nonpiezoelectric extension |
| Authors: | Shen, Zuyan Shih, Wan Y. Shih, Wei-Heng |
| Issue Date: | Oct-2007 |
| Publisher: | Institute of Electrical and Electronics Engineers (IEEE) |
| Citation: | IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 54(10): pp. 2001-2010. |
| Abstract: | A piezoelectric cantilever (PEC) is a flexural
transducer consisting of a piezoelectric layer [e.g., lead zirconate
titanate (PZT)] bonded to a nonpiezoelectric layer
(e.g., stainless steel). A PEC with a thin nonpiezoelectric
extension has two distinctive sections, each with a different
thickness, different axial density, and elastic-modulus profiles
and has been increasingly used as an in-situ biosensor.
It has the advantages of dipping only the nonpiezoelectric
extension part in an aqueous solution without electrically
insulating the piezoelectric section as well as serving as the
bonding pad for receptor immobilization. In this study, we
examined the effect of the thin nonpiezoelectric extension
on the flexural resonance spectrum and resonance vibration
waveforms of PEC; in particular, how the length ratio
between the piezoelectric section and the nonpiezoelectric
extension section affects the resonance frequencies and resonance
peak intensities of PEC. Theoretical resonance frequencies
and resonance vibration waveforms were obtained
using an analytical transcendental equation we derived by
solving the flexural wave equation. Both experimental and
theoretical results showed that the two-section structure
distorted the flexural vibration waveforms from those of
PEC without an extension. As a result, the higher-mode
resonance peaks of PEC with a nonpiezoelectric extension
could be higher than the first resonance peak due to the
two-section structure. With PEC that has a piezoelectric
section of 0.25-mm thick PZT bonded to 0.07 mm thick
stainless steel of various length l1 and a 0.07-mm thick
nonpiezoelectric extension of length l2, we showed that the
first-mode-to-second-mode resonance peak intensity ratio
had a maximum of 5.6 at l1/l2 = 0.75 and the first-modeto-
second-mode resonance frequency ratio a minimum of
2.2 at l1/l2 = 1.8. These findings will undoubtedly help
optimize the design and performance of PEC. |
| URI: | http://dx.doi.org/10.1109/TUFFC.2007.494 http://hdl.handle.net/1860/2716 |
| Appears in Collections: | Faculty Research and Publications (Biomed Eng)
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