Buckling Analysis of FG Plate with Smart Sensor/Actuator

Journal of Solid Mechanics

مقاله 4، دوره 1، شماره 3، آذر 2009، صفحه 201-212   

نوع مقاله: Research Paper

نویسندگان

N.S Viliani^{* 1}؛ S.M.R Khalili²؛ H Porrostami¹

¹Department of Mechanical Engineering, Islamic Azad University, Abhar Branch

²Faculty of Mechanical Engineering, K.N. Toosi University of Technology-Faculty of Engineering, Kingston University

چکیده

In this paper, the active buckling control of smart functionally graded (FG) plates using piezoelectric sensor/actuator patches is studied. A simply supported FG rectangular plate which is bonded with piezoelectric rectangular patches on the top and/or the bottom surface(s) as actuators/sensors is considered. When a constant electric charge is imposed, the governing differential equations of motion are derived using the classical laminated plate theory (CLPT). The solution for the equation of motion is obtained using a Fourier series method and the effect of feedback gain on the critical buckling load for PZT-4 is studied .The buckling behavior of smart plate subjected to compressive load is also investigated. The sensor output is used to determine the input to the actuator using the feedback control algorithm. The forces induced by the piezoelectric actuators under the applied voltage field, enhance the critical buckling load

کلیدواژه‌ها

Smart functionally graded materials؛ Piezoelectric؛ Buckling؛ sensor؛ actuator

مراجع

[1] Brush D.O., Almroth B.O., 1975, Buckling of Bars, Plates, and Shells, McGraw-Hill, New York.

[2] Turvey G., Marshall I., 1995, Buckling and Postbuckling of Composite Plates, Chapman-Hall, New York.

[3] Eslami M.R., Shariyat M., 1997, Elastic, plastic and creep buckling of imperfect cylinders under mechanical and thermal loading, ASME Transactions, Journal of Pressure Vessel Technology 119 (1): 27-36.

[4] Mossavarali A., Eslami M.R., 2002, Thermoelastic buckling of plates with imperfections based on higher order displacement field, Journal of Thermal Stresses 25(8): 745-771.

[5] Murphy K.D., Ferreira D., 2001, Thermal buckling of rectangular plates, International Journal of Solids and Structures 38 (22-23): 3979-3994.

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

[7] Hauke T., Kouvatov A., Steinhausen R., Seifert W., Beige H., 2000, Bending behavior of functionally gradient materials, Ferroelectrics 238: 759-766.

[8] Fledman E., Aboudi J., 1997, Buckling analysis of functionally graded plates subjected to uniaxial loading, Composite Structures 38: 29-36.

[9] Woo J., Meguid S.A., 2001, Nonlinear analysis of functionally graded plates and shallow shells, International Journal of Solids and Structures 38: 7409-7421.

[10] Javaheri R., Eslami M.R., 2002, Thermal buckling of functionally graded plates based on higher theory, Journal of Thermal Stresses 25: 603-625.

[11] Tiersten HF., 1969, Linear Piezoelectric Plate Vibrations, Plenum, New York.

[12] Lee C.K., Moon F.C., 1989, Laminated piezopolymer plates for torsion and bending sensors and actuators, Journal of the Acoustical Society of America 85: 2432-2439.

[13] Lee C.K., 1990, Theory of laminated piezoelectric plates for the design of distributed sensors/actuators-Part I: Governing equations and reciprocal relationships, Journal of the Acoustical Society of America 87: 1144-1158.

[14] Thompson S.P., Loughlan J., 1995, The active buckling of some composite column strips using piezoceramic actuators, Composite Structures 32: 59-67.

[15] Varelis D., Saravanos D., 2002, Nonlinear coupled mechanics and initial buckling of composite plate with piezoelectric actuators and sensors, Smart Materials and Structures 11: 330-336.

[16] Yang J.S., 1999, Equations for thick elastic plates with partially electroded piezoelectric actuators and higher order electric fields, Smart Materials and Structures 8: 73-82.

[17] Tzou H.S., 1993, Piezoelectric shells: Distributed sensing and control of continua, Dordrecht Kluwer Academic Publishers.

[18] Tzou H.S., Fu H.Q., 1994, Study of the segmentation of distributed piezoelectric sensors and actuators-Part I. Theoretical analysis, Journal of Sound and Vibration 172(2): 247-259.

[19] Kargarnovin M.H., Najafizadeh M.M., Viliani N.S., 2007, Vibration control of a functionally graded material plate patched with piezoelectric actuators and sensors under a constant electric charge, Smart Materials and Structures 16: 1252-1259.

[20] Reddy J.N., 1999, Theory and Analysis of Elastic Plate, Taylor and Francis Philadelphia, PA.

[21] Najafizadeh M.M., Eslami M.R., 2002, First-order theory based thermoelastic stability of functionally graded material circular plates, AIAA Journal 40: 1444-1450.

[22] Ali O. Ayhan., 2007, Stress intensity factors for three-dimensional cracks in functionally graded materials using enriched finite element, International Journal of Solids and Structures 44: 8579-8599.

[23] Lien W.C., Chung Y.L., Ching C.W, 2002, Dynamic stability analysis and control of a composite beam with piezoelectric layers, Composite Structures 56: 97-109.

[24] Senthil V.G., 2001, Modeling of piezoelectric smart structures for active vibration and noise control application, PhD thesis, Department of Engineering Science and Mechanics, The University of Pennsylvania.

[25] Halliday D., Resnick R., Walker J., 2000, Fundamentals of Physics, Wiley, New York, Extended Sixth Edition.

[26] Wang D.A., Cheng C.H., Hsieh H.H., Zhang ZX., 2007, Analysis of an annular PZT actuator for a droplet ejector, Sensor and Actuators A: Physical 137(2): 330-337.

[27] Zhang Q.M., Jianzhong Zhao., 1999, Electromechanical properties of lead zirconate titanatepiezocramic under the influence of mechanical stresses, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control 46(6): 1518-1526.