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Dynamic Stability of Beams with Piezoelectric Layers Located on a Continuous Elastic Foundation
Abstract:This paper studies dynamic stability of homogeneous beams with piezoelectric layers subjected to periodic axial compressive load that is simply supported at both ends lies on a continuous elastic foundation. The displacement field of beam is assumed based on Bernoulli-Euler beam theory. Applying the Hamilton's principle, the governing dynamic equation is established. The influences of applied voltage, foundation coefficient and piezoelectric thickness on the unstable regions are presented. To investigate the accuracy of the present analysis, a compression study is carried out with a known data.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1057049Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1375
 Bailey T. and Hubbard Jr.J.E., Distributed Piezoelectric-polymer Active Vibration Control of A cantilever Beam. Journal of Guidance Control and Dynamic, Vol. 8, 1985, pp. 605-611.
 Crawley E.F. and de Luis J., Use Piezoelectric Actuators As Elements of Intelligent Structures, AIAA Journal, Vol. 8, 1987, pp. 1373-1385.
 Shen M.H., Analysis of Beams Containing Piezoelectric Sensors and Actuators, Smart Materials and Structures, Vol. 3, 1994, pp. 439-347.
 Pierre C. and Dowell E.H., A Study of Dynamic Instability of Plates By An Extended Incremental Harmonic Balance Method, Journal of Applied Mechanics, Vol. 52, 1985, pp. 693-697.
 Liu G.R., Peng X.Q., and Lam K.Y., Vibration Control Simulation of Laminated Composite Plates with Integrated Piezoelectrics, Journal of Sound and Vibration, Vol . 220, No. 5, 1999, 827-846.
 Tzou H.S. and Tseng C.I., Distributed Piezoelectric Sensor/Actuator Design For Dynamic Measurement/Control of Distributed Parameter System: A Piezoelectric Finite Element Approach, Journal of Sound and Vibration, Vol. 138, 1990, pp. 17-34.
 Ha S.K., Keilers C., and Chang, F.K., Finite Element Analysis of Composite Structures Containing Distributed Piezoceramic Sensor and Actuators, AIAA Journal, Vol. 30, 1992, pp. 772-780.
 Bolotin V.V., The dynamic Stability of Elastic Systems, San Francisco: Holden Day, 1964.
 Briseghella L., Majorana C.E., Pellegrino C., Dynamic Stability of Elastic Structures: A Finite Element Approach, Computers and. Structures, Vol. 69, 1998, pp. 11-25.
 Takahashi K., Wu M., and Nakazawa N., Vibration Buckling and Dynamic Stability of A Cantilever Rectangular Plate Subjected to Inplane Force, Engineering Mechanics, Vol. 6, 1998, pp. 939-953.
 Zhu J., Chen C., Shen Y., and Wang S., Dynamic Stability of Functionally Graded Piezoelectric Circular Cylindrical Shells, Materials Letters, Vol. 59, 2005, pp. 477-485.
 Reddy J.N. and Praveen G.N., Nonlinear Transient Thermoelastic Analysis of Functionally Graded Ceramic-metal Plates, International Journal of. Solids and Structures, Vol. 35, 1998, pp. 4467-4476.