Dynamics Analysis of the Steady and Transient States of a Nonlinear Piezoelectric Beam by a Finite Element Method

Subject Areas : Engineering

M Jabbari ¹ , M Ghayour ² , H.R Mirdamadi ³

1 - Mechanical Engineering Department , Isfahan University of Technology
2 - Mechanical Engineering Department , Isfahan University of Technology
3 - Mechanical Engineering Department , Isfahan University of Technology

Received: 2016-01-20 Accepted : 2016-03-25 Published : 2016-06-30

Keywords:

References:

[1] Ha S.K., Keilers C., Chang F.K., 1992, Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators, American Institute of Aeronautics and Astronautics 30:780-772.
[2] Crawley E.F., Lazarus K.B., 1991, Induced strain actuation of isotropic and anisotropic plates, American Institute of Aeronautics and Astronautics 29: 951-944.
[3] Rao S.S., Sunar M., 1993, analysis of distributed thermo piezoelectric sensors and actuators in advanced intelligent structures, American Institute of Aeronautics and Astronautics 31:1286-1280.
[4] Mindlin R.D., 1974, Equations of high frequency vibrations of thermo piezoelectric crystal plates, International Journal of Solids Structure 10:637-625.
[5] Moetakef M.A., Lawrence K.L., Joshi S.P., Shiakolas P.S., 1995, Closed-Form expressions for higher order electro elastic tetrahedral elements, American Institute of Aeronautics and Astronautics 33:142-136.
[6] Moetakef M.A., Joshi S.P., Lawrence K.L., 1996, Elastic wave generation by piezoceramic patches, American Institute of Aeronautics and Astronautics 34:2117-2110.
[7] Suleman A., Goncalves M.A., 1995, Optimization issues in application of piezoelectric actuators in panel flutter control, IDMEC-Instituto Superior Tecnico, Departamento de Engenharia Mecanica 1096 Codex.
[8] Suleman A., Venkayya V.B., 1995, Flutter control of an adaptive laminated composite panel with piezoelectric layers, IDMEC-Instituto Superior Tecnico, Departamento de Engenharia Mecanica 1096 Codex.
[9] Zemcik R., Roifes R., Rose M., Tessmer J., 2007, High performance four-node shell element with piezoelectric coupling for the analysis of smart laminated structures, International Journal for Numerical Methods in Engineering 70:961-934.
[10] Lazarus A., Thomas O., Deu J.F., 2012, Finite element reduced order models for nonlinear vibration of piezoelectric layered beams with applications to NEMS, Finite Elements in Analysis and Design 49:51-35.
[11] Ghayour M., Jabbari M., 2013, The effect of support and concentrated mass on the performance of piezoelectric beam actuator and frequencies, 3rd International Conference on Acoustic and Viberation ( ISAV2013).
[12] Kogl M., Bucalem M.L., 2005, Analysis of smart laminates using piezoelectric MITC plate and shell elements, Computers and Structures 83:1163-1153.
[13] Piefort V., Preumont A., 2000, Finite element modeling of smart piezoelectric shell structures, 5th National Congress on Theoretical and Applied Mechanics.
[14] Delgado I., 2007, Nonlinear vibration of a cantilever beam, M.S in Mechanical Engineering.
[15] Malatkar P., 2003, Nonlinear vibrations of cantilever beams and plates, Ph.D. thesis, Virginia Polytechnic Institute and State University.
[16] Borse G.J., 1997, Numerical Methods with Matlab, PWS-Kent, Boston.
[17] Sebald G., Kuwano H., Guyomar D., 2011, Experimental duffing oscillator for broadband piezoelectric energy harvesting, Smart Materials and Structures 20: 1-10.
[18] Erturk A., Inman D.J., 2011, Broadband piezoelectric power generation on high-energy orbits of the bistable Duffing oscillator with electromechanical coupling, Journal of Sound and Vibration 330: 2339-2353.
[19] Friswell1 M.I., Faruque S.A., Bilgen O., Adhikari S., Lees A.W., Litak G., 2012, Non-linear piezoelectric vibration energy harvesting from a vertical cantilever beam with tip mass, Journal of Intelligent Material Systems and Structures 23(13): 1505-1521.
[20] Bendigeri C., Tomar R., Basavaraju S., Arasukumar K., 2011, Detailed formulation and programming method for piezoelectric finite element, International Journal of Pure and Applied Sciences and Technology 7(1): 1-21.
[21] Cook R.D., 1995, Finite Element Analysis for Stress Analysis, John Wiley & Sons, New York.
[22] Clough R.W., Penzien J., 1975, Dynamics of Structures, John Wiley and Sons, NewYork.