Theory and Simulation Analysis of the Mode Shape and Normal Shape Actuators and Sensors

Jwo Ming  Jou

doi:10.4236/oja.2014.44019

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OJA Vol.4 No.4 , December 2014

Theory and Simulation Analysis of the Mode Shape and Normal Shape Actuators and Sensors

Jwo Ming Jou

Abstract: In this paper, we will try to find a universal theoretical model and approximate solutions which can be applied to both mode shape and normal shape actuators and sensors, and which can be predicted the gain of the first three modes of the mode shape and normal shape actuators and sensors, finally through computer simulation analysis to validate. In order to prove the feasibility of the theory and as well as convenient to use on the electro-mechanical engineering, we will try to simplify the three-dimension structure problem into an one-dimension structure problem. Furthermore we will design one kind of bimorph type piezoelectric cantilever beam, so that it can be used as with the actuator and sensor simultaneously, but also conducive to the theory and simulation analysis. As for the simulation analysis, we will use the ANSYS code.

Keywords: Mode Shape, Normal Shape, Actuator, Sensor, Gain, The First Three Modes, ANSYS Code

Cite this paper: Jou, J. (2014) Theory and Simulation Analysis of the Mode Shape and Normal Shape Actuators and Sensors. Open Journal of Acoustics, 4, 184-203. doi: 10.4236/oja.2014.44019.

References

[1] Lee, C.-K. (1987) Piezoelectric Laminates for Torsional and Bending Modal Control: Theory and Experiment. Ph.D. Dissertation, Cornell University, Ithaca.

[2] Chiang, W.-W. and Lee, C.-K. (1989) Critical Active Damping Control of a Flexible Slender Plate Using a Distributed Modal Actuator and Sensor. American Control Conference, 700-706.

[3] Vaz, A.F. and Farr, T.J. (1997) Experimental Validation of Analytical Models of Flexible Structures with Bonded Piezoelectric Film Actuators and Sensors. IEEE Instrumentation and Measurement Technology Conference, 2, 887-892.

[4] Vat, A.F. (1998) Composite Modeling of Flexible Structures with Bonded Piezoelectric Film Actuators and Sensors. IEEE Transactions on Instrumentation and Measurement, 47, 513-520.
http://dx.doi.org/10.1109/19.744200

[5] Takagi, K., Nagase, K., Oshima, K. and Hayakawa, Y. (2001) Modal Filtering for Simply Supported Plate Using Equally Segmented Piezoelectric Film. American Control Conference, 2, 1593-1598.

[6] Ballato, A. and Kim, Y.K. (2002) Displacements and Rotations of Practical Vibrational Modes of Piezoelectric Bimorph Cantilever Beams. Proceedings of IEEE Sensors, 2, 1294-1297.

[7] Gou, X.K. and Tian, H.M. (2007) Active Vibration Control of a Cantilever Beam Using Bonded Piezoelectric Sensors and Actuators. 8th International Conference on Electronic Measurement and Instruments, 4, 85-88.

[8] Rios-Gutierrez, M. and Silva-Navarro, G. (2009) Finite Element and Modal Modeling of a Cantilever Beam with Piezoelectric Patch Actuator for Vibration Absorption. 6th International Conference on Electrical Engineering Computing Science and Automatic Control, 1-6.

[9] Sanchez-Rojas, J.L., Hernando, J., Donoso, A., Bellido, J.C., Gutierrez, L.M., Ababneh, A., Seidel, H. and Schmid, U. (2009) Piezoelectric Modal Sensors/Actuators Based on Microplates Applying Surface Electrode Patterning. Solid-State Sensors, Actuators and Microsystems Conference, 2346-2349.

[10] Hsu, Y.-H., Lee, C.-K. and Hsiao, W.-H. (2005) Electrical and Mechanical Fully Coupled Theory and Experimental Verification of Rosen-Type Piezoelectric Transformers. IEEE Ultrasonics, Ferroelectrics and Frequency Control, 52, 1829-1839.
http://dx.doi.org/10.1109/TUFFC.2005.1561639

[11] Huang, Y.-T., Wu, W.-J., Wang, Y.-C. and Lee, C.-K. (2007) Multilayer Modal Actuator-Based Piezoelectric Transformers. IEEE Ultrasonics Ferroelectrics and Frequency Control, 52, 359-367.
http://dx.doi.org/10.1109/TUFFC.2007.249

[12] Jou, J.M. (2003) Piezoelectricity Mechanics. Chuan Hwa Book Co. Ltd., Taipei.