Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-22T17:48:45.086Z Has data issue: false hasContentIssue false
  • English
  • Français

Finite Element Model Verification for the Use of Piezoelectric Sensor in Structural Modal Analysis

Published online by Cambridge University Press:  05 May 2011

B.-T. Wang ,
P.-H. Chen  and
R.-L. Chen
B.-T. Wang*
Affiliation:
Department of Mechanical Engineering, National Pingtung University of Science and Technology, Pingtung, Taiwan 91201, R.O.C.
P.-H. Chen*
Affiliation:
Department of Mechanical Engineering, National Pingtung University of Science and Technology, Pingtung, Taiwan 91201, R.O.C.
R.-L. Chen*
Affiliation:
Center for Measurement Standards, Industrial Technology Research Institute, Hsinchu, Taiwan 31040, R.O.C.
*
*Professor
**Graduate student
***Associate Engineer
Get access

Abstract

This paper presents the theoretical modal analysis for the use of PVDF sensor in structural modal testing via finite element analysis (FEA). A series of rectangular PVDF films are adhered on the surface of cantilever beam as sensors, while the point impact force is applied as the actuator for experimental modal analysis (EMA). Natural frequencies and mode shapes determined from both FEA and EMA are validated. In FEA, the beam structure is modeled by 3D solid elements, and the PVDF films are modeled by 3D coupled field piezoelectric elements. Both modal analysis and harmonic response analysis are performed to obtain the structural modal parameters and frequency response functions, respectively. Results show that both FEA and EMA results agree well. In particular, the PVDF sensor mode shapes, proportional to the slope difference between the two edges of PVDF film, are numerically and experimentally validated by FEA and EMA, respectively. Therefore, the simulation of PVDF films for vibration analysis in FEA can be verified and easily extended to other complex structures that may contain piezoelectric materials.

Keywords

Finite element modelPVDF filmExperimental modal analysisVibration analysis.
Type
Articles
Information
Journal of Mechanics , Volume 22 , Issue 2 , June 2006 , pp. 107 - 114
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Hubbard, J. E., “Distributed Sensors and Actuators for Vibration Control in Elastic Components,” Noise-Con 87, State College, PA, pp. 407–412 (1987).Google Scholar
2.Lee, C.K and Moon, F. C., “Modal Sensors/Actuators,” Journal of Applied Mechanics, 57, pp. 434–441 (1990).CrossRefGoogle Scholar
3.Collins, S. A., Padilla, C. E., Notestme, R. J., von Flotow, A. H., Schmitz, E. and Ramey, M., “Design, Manufacture, and Application to Space Robotics of Distributed Piezoelectric Film Sensors,” Journal of Guidance Control, 15, pp. 396–403 (1992).CrossRefGoogle Scholar
4.Galea, S. C., Chiu, W.K and Paul, J. J., “Use of Piezoelectric Films in Detecting and Monitoring Damage in Composites,” Journal of Intelligent Material Systems and Structures, 4, pp. 330–336 (1993).CrossRefGoogle Scholar
5.Collet, M. and Jezequel, L., “A New Approach to Modal Filtering with Laminated Piezo-Electric Sensors,” Proceedings for the 12th International Modal Analysis Conference, Nashville, TN, pp. 246–254 (1994).Google Scholar
6.Tanaka, N., Snyder, S. D. and Hansen, C. H., “Distributed Parameter Modal Filtering Using Smart Sensors,” Transactions of the ASME Journal of Vibration and Acoustics, 118, pp. 630–640 (1996).CrossRefGoogle Scholar
7.Allik, H. and Hughes, T. J. R., “Finite Element Method for Piezoelectric Vibration,” International Journal for Numerical Methods in Engineering, 2, pp. 151–157 (1970).CrossRefGoogle Scholar
8.Boucher, D., Lagier, M. and Maerfeld, C., “Computation of the Vibrational Modes for Piezoelectric Array Transducers Using a Mixed Finite Element-Perturbation Method,” IEEE Transactions on Sonics and Ultrasonics, Su–28(5), pp. 318–330 (1981).CrossRefGoogle Scholar
9.Kunkel, H. A., Locke, S. and Pikeroen, B, “Finite-Element Analysis of Vibrational Modes in Piezoelectric Ceramic Disks,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 37(4), pp. 316–328 (1990).CrossRefGoogle ScholarPubMed
10.Ha, S. K., Keilers, C, and Chang, F. K., “Finite Element Analysis of Composite Structures Containing Distributed Piezoceramic Sensors and Actuators,” AIAA Journal, 30(3), pp. 772–780 (1992).CrossRefGoogle Scholar
11.Kagawa, Y. and Yamabuchi, T., “Finite Element Simulation of a Composite Piezoelectric Ultrasonic Transducer,” IEEE Transactions on Sonics and Ultrasonics, Su–26(2), pp. 81–88 (1979).CrossRefGoogle Scholar
12.Challande, C., “Optimizing Ultrasonic Transducers Based on Piezoelectric Composites Using a Finite-Element Method,” IEEE Transducers on Ultrasonics, Ferroelectrics, and Frequency Control, 37(2), pp.135–140 (1990).CrossRefGoogle ScholarPubMed
13.Tsuchiya, T. and Kagawa, Y., “Finite Element Simulation of Piezoelectric Transducers,” IEEE Transducers on Ultrasonics, Ferroelectrics, and Frequency Control, 48(4), pp. 872–878 (2001).CrossRefGoogle Scholar
14.Sun, F. P., Liang, C. and Rogers, C. A., Proceedings of the 1994 SEM Spring Conference and ExhibitsBaltimoreMaryland, pp. 871–879 (1994).Google Scholar
15.Norwood, C., “The Measurement of Natural Frequencies and Mode Shapes of Submerged Cylinders Using PVDF Strip Excitation,” Proceedings of Inter-Noise 95, Newport Beach, CA, pp. 1337–1340 (1995).Google Scholar
16.Wang, B.T, “Characterization of Transfer Functions for Piezoceramic and Conventional Transducers,” Journal of Intelligent Material Systems and Structures, 7, pp. 390–398 (1996).CrossRefGoogle Scholar
17.Wang, B.T, “Structural Modal Testing with Various Actuators and Sensors,” Mechanical System and Signal Processing, 12(5), pp. 627–639 (1998).CrossRefGoogle Scholar
18.Wang, B. T. and Wang, C. C., “Feasibility Analysis of Using Piezoceramic Transducers for Cantilever Beam Modal Testing,” Smart Materials and Structures, 6, pp. 1–11 (1997).CrossRefGoogle Scholar
19.Wang, B.T, “The PVDF Based Wavenumber Domain Sensing Techniques for Active Sound Radiation of a Simply-Supported Beam,” Journal of Acoustical Society of America, 103(4), pp. 1904–1915 (1998).CrossRefGoogle Scholar
20.Meirovich, L., Elements of Vibration Analysis, McGraw- Hill Book Company, New York (1986).Google Scholar
21.Blevins, R. D., Formulas for Natural Frequency and Mode Shape, Van Nostrand, New York (1979).Google Scholar
22.ANSLTEEE Std 176–1987, IEEE Standard on Piezoelectric, American National Standards Institute (1987).Google Scholar
23.Ewins, D. J., Modal Testing: Theory and Practice, Research Studies Press Ltd., Letchworth Hertfordshire, England (1986).Google Scholar