Dynamic Stability of Functionally Graded Beams with Piezoelectric Layers Located on a Continuous Elastic Foundation

Subject Areas : Engineering

N Omidi ¹ , M Karami Khorramabadi ² , A Niknejad ³

1 - Department of Mathematics, Islamic Azad University, Khorramabad Branch
2 - Department of Mechanical Engineering, Islamic Azad University, Khorramabad Branch
3 - Faculty of Engineering, Payame Noor University (PNU), Yazd Branch

Received: 2009-06-06 Accepted : 2009-07-29 Published : 2009-06-30

Keywords:

References:

[1] Bailey T., Hubbard Jr.J.E., 1985, Distributed piezoelectric-polymer active vibration control of a cantilever beam. Journal of Guidance Control and Dynamic 8: 605-611.

[2] Crawley E.F., de Luis J., 1987, Use piezoelectric actuators as elements of intelligent structures, AIAA Journal 8: 1373-1385.

[3] Shen M.H., 1994, Analysis of beams containing piezoelectric sensors and actuators, Smart Materials and Structures 3: 439-347.

[4] Pierre C., Dowell E.H., 1985, A study of dynamic instability of plates by an extended incremental harmonic balance method, ASME Transactions, Journal of Applied Mechanics 52: 693-697.

[5] Liu G.R., Peng X.Q., Lam K.Y., 1999, Vibration control simulation of laminated composite plates with integrated piezoelectrics, Journal of Sound and Vibration 220(5): 827-846.

[6] Tzou H.S., Tseng C.I., 1990, Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter system: A piezoelectric finite element approach, Journal of Sound and Vibration 138: 17-34.

[7] Ha S.K., Keilers C., Chang, F.K., 1992, Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators, AIAA Journal 30: 772-780.

[8] Bolotin V.V., 1964, The Dynamic Stability of Elastic Systems, Holden Day, San Francisco.

[9] Briseghella L., Majorana C.E., Pellegrino C., 1998, Dynamic stability of elastic structures: A finite element approach, Computers and Structures 69: 11-25.

[10] Takahashi K., Wu M., Nakazawa N., 1998, Vibration, buckling and dynamic stability of a cantilever rectangular plate subjected to in-plane force, Engineering Mechanics 6: 939-953.

[11] Zhu J., Chen C., Shen Y., Wang S., 2005, Dynamic stability of functionally graded piezoelectric circular cylindrical shells, Materials Letters 59: 477-485.

[12] Reddy J.N., Praveen G.N., 1998, Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, International Journal of Solids and Structures 35: 4467-4476.