Mechanical Buckling of Engesser-Timoshenko Beams with a Pair of Piezoelectric Layers
This paper presents the elastic buckling of
homogeneous beams with a pair of piezoelectric layers surface
bonded on both sides of the beams. The displacement field of beam is
assumed based on the Engesser-Timoshenko beam theory.
Applying the Hamilton's principle, the equilibrium equation is
established. The influences of applied voltage, dimensionless
geometrical parameter and piezoelectric thickness on the critical
buckling load of beam are presented. To investigate the accuracy of
the present analysis, a compression study is carried out with a known
data.
[1] Bailey T, Hubbard JE Jr.. Distributed piezoelectric polymer
active vibration control of a cantilever beam. Journal of
Guidance Control and Dynamics 1985;8:605-11.
[2] Lee CK, Moon FC. Laminated piezopolymer plates for torsion
and bending sensors and actuators. Journal of Acoustics Society
of America 1989;85:2432-9.
[3] Wang BT, Rogers CA. Laminate plate theory for spatially
distributed induced strain actuators. Journal of Composite
Materials 1991;25:433-52.
[4] Ha SK, Keilers C, Chang FK. Finite element analysis of
composite structures containing distributed piezoceramic sensors
and actuators. AIAA Journal 1992;30:772-80.
[5] Kim J, Varadan VV, Varadan VK, Bao XQ. Finite element
modelling of a smart cantilever plate and comparison with
experiments Smart Materials and Structures 1996;5:165-70.
[6] Tzou HS, Tseng CI. Distributed piezoelectric sensor/actuator
design for dynamic measurement/control of distributed
parameter system. Journal of Sound and Vibration 1990;138:17-
34.
[7] Robinson DH, Reddy JN. Analysis of piezoelectrically actuated
beams using a layer-wise displacement theory. Computers and
Structures 1991;41:265-79.
[8] Saravanos DA, Heyliger PR. Coupled layer-wise analysis of
composite beams with embedded piezoelectric sensors and
actuators J Intell Mater Syst Struct 1995;6:350-63.
[9] Crawley EF, de Luis J. Use of piezoelectric actuators as
elements of intelligent structures. AIAA Journal 1987;25:1373-
85.
[10] Milsom RF, Reilly NHC, Redwood M. Analysis of generation
and detection of surface and bulk acoustic waves by interdigital
transducer. IEEE Trans Sonics and Ultra 1977;SU-24:147-66.
[11] Monkhouse RSC, Wilcox PW, Dalton RP, Cawley P. The rapid
monitoring of structures using interdigital Lamb wave
transducers Smart Materials and Structures 2000;9:304-9.
[12] Morgan DP. History of SAW devices. IEEE Int Frequency
Control Symp 1998;439-60.
[13] Loughlan J, Thompson SP, Smith H. Buckling control using
embedded shape memory actuators and the utilization of smart
technology in future aerospace platforms. Compos Struct
2002;58:319-47.
[14] Shen HS. Postbuckling of laminated cylindrical shells with
piezoelectric actuators under combined external pressure and
heating. Int J Solids Struct 2002;39:4271-89.
[15] LaPeter, C.M., Cudney, H.H., 1991, "Design methodology for
piezoelectric actuators, Smart Structures and Materials",
Proceedings of the Annual Meeting of the ASME, 16, 139-143.
[16] Dobrucki, A.B., Pruchnicki P., 1997, "Theory of piezoelectric
axisymmetric bimorph", Sensors and Actuators A, 58, 203-212.
[17] Chandrashekhara, K., Bhatia, K., 1993, "Active buckling control
of smart composite plates finite element analysis", Smart
Materials and Structures, 2, 31-39.
[18] Chase, J.G., Bhashyam S., 1999, "Optimal stabilization of plate
buckling", Smart Materials and Structures, 8, 204-211.
[19] Wang C.M., Reddy J.N., 2000, "Shear Deformable Beams and
Plates", Oxford, Elsevier.
[20] Reddy J.N., 2004, " Mechanics of Laminated Composite Plates
and Shells Theory and Analysis", New York, CRC.
[21] Karami Khorram abadi M., Khazaeinejad P. and Jenabi J.,
"Mechanical Buckling of Functionally graded Beam with
Piezoelectric Actuators", NCME, 2008.
[1] Bailey T, Hubbard JE Jr.. Distributed piezoelectric polymer
active vibration control of a cantilever beam. Journal of
Guidance Control and Dynamics 1985;8:605-11.
[2] Lee CK, Moon FC. Laminated piezopolymer plates for torsion
and bending sensors and actuators. Journal of Acoustics Society
of America 1989;85:2432-9.
[3] Wang BT, Rogers CA. Laminate plate theory for spatially
distributed induced strain actuators. Journal of Composite
Materials 1991;25:433-52.
[4] Ha SK, Keilers C, Chang FK. Finite element analysis of
composite structures containing distributed piezoceramic sensors
and actuators. AIAA Journal 1992;30:772-80.
[5] Kim J, Varadan VV, Varadan VK, Bao XQ. Finite element
modelling of a smart cantilever plate and comparison with
experiments Smart Materials and Structures 1996;5:165-70.
[6] Tzou HS, Tseng CI. Distributed piezoelectric sensor/actuator
design for dynamic measurement/control of distributed
parameter system. Journal of Sound and Vibration 1990;138:17-
34.
[7] Robinson DH, Reddy JN. Analysis of piezoelectrically actuated
beams using a layer-wise displacement theory. Computers and
Structures 1991;41:265-79.
[8] Saravanos DA, Heyliger PR. Coupled layer-wise analysis of
composite beams with embedded piezoelectric sensors and
actuators J Intell Mater Syst Struct 1995;6:350-63.
[9] Crawley EF, de Luis J. Use of piezoelectric actuators as
elements of intelligent structures. AIAA Journal 1987;25:1373-
85.
[10] Milsom RF, Reilly NHC, Redwood M. Analysis of generation
and detection of surface and bulk acoustic waves by interdigital
transducer. IEEE Trans Sonics and Ultra 1977;SU-24:147-66.
[11] Monkhouse RSC, Wilcox PW, Dalton RP, Cawley P. The rapid
monitoring of structures using interdigital Lamb wave
transducers Smart Materials and Structures 2000;9:304-9.
[12] Morgan DP. History of SAW devices. IEEE Int Frequency
Control Symp 1998;439-60.
[13] Loughlan J, Thompson SP, Smith H. Buckling control using
embedded shape memory actuators and the utilization of smart
technology in future aerospace platforms. Compos Struct
2002;58:319-47.
[14] Shen HS. Postbuckling of laminated cylindrical shells with
piezoelectric actuators under combined external pressure and
heating. Int J Solids Struct 2002;39:4271-89.
[15] LaPeter, C.M., Cudney, H.H., 1991, "Design methodology for
piezoelectric actuators, Smart Structures and Materials",
Proceedings of the Annual Meeting of the ASME, 16, 139-143.
[16] Dobrucki, A.B., Pruchnicki P., 1997, "Theory of piezoelectric
axisymmetric bimorph", Sensors and Actuators A, 58, 203-212.
[17] Chandrashekhara, K., Bhatia, K., 1993, "Active buckling control
of smart composite plates finite element analysis", Smart
Materials and Structures, 2, 31-39.
[18] Chase, J.G., Bhashyam S., 1999, "Optimal stabilization of plate
buckling", Smart Materials and Structures, 8, 204-211.
[19] Wang C.M., Reddy J.N., 2000, "Shear Deformable Beams and
Plates", Oxford, Elsevier.
[20] Reddy J.N., 2004, " Mechanics of Laminated Composite Plates
and Shells Theory and Analysis", New York, CRC.
[21] Karami Khorram abadi M., Khazaeinejad P. and Jenabi J.,
"Mechanical Buckling of Functionally graded Beam with
Piezoelectric Actuators", NCME, 2008.
@article{"International Journal of Electrical, Electronic and Communication Sciences:50587", author = "A. R. Nezamabadi and M. Karami Khorramabadi", title = "Mechanical Buckling of Engesser-Timoshenko Beams with a Pair of Piezoelectric Layers", abstract = "This paper presents the elastic buckling of
homogeneous beams with a pair of piezoelectric layers surface
bonded on both sides of the beams. The displacement field of beam is
assumed based on the Engesser-Timoshenko beam theory.
Applying the Hamilton's principle, the equilibrium equation is
established. The influences of applied voltage, dimensionless
geometrical parameter and piezoelectric thickness on the critical
buckling load of beam are presented. To investigate the accuracy of
the present analysis, a compression study is carried out with a known
data.", keywords = "Mechanical Buckling, Engesser-Timoshenko
beam theory - Piezoelectric layer.", volume = "4", number = "11", pages = "1600-4", }
