Special Issue in Honor of 70th Birthday of Professor J. N. Reddy; Guest Editor: C. M. WangNo Access

Nonlinear Vibration of PZT4/PZT-5H Monomorph and Bimorph Beams with Graded Microstructures

School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, P. O. Box 71, Bundoora, VIC 3083, Australia

Corresponding author.

Search for more papers by this author

Sritawat Kitipornchai

School of Civil Engineering, The University of Queensland, Brisbane, QLD 4072, Australia

Search for more papers by this author

, and

Chuang Feng

School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, P. O. Box 71, Bundoora, VIC 3083, Australia

Search for more papers by this author

https://doi.org/10.1142/S0219455415400155Cited by:10 (Source: Crossref)

Abstract

Monomorph and bimorph actuators made of piezoelectric materials are widely used in smart materials and structural control. Recent studies show that their performances can be remarkably improved by the use of functionally graded piezoelectric materials (FGPMs) whose compositional profile and effective material properties are graded along the thickness direction. This paper investigates the linear and nonlinear vibration behaviors of monomorph and bimorph made from a mixture of PZT4 and PZT-5H with material composition following a power law distribution. Theoretical formulations are based on von Kármán kinematic relationships and Timoshenko beam theory to account for the effect of transverse shear deformation. The differential quadrature method (DQM) and the second-order backward difference scheme are employed to obtain the linear and nonlinear vibration frequencies. A parametric study is conducted to investigate the influences of volume fraction index, slenderness ratio, nonlinear deformation and different loading conditions.

Keywords:

Remember to check out the Most Cited Articles!
Remember to check out the structures

References

X. H. Zhu, Q. Wang and Z. Meng, J. Mater. Sci. Lett. 14(7), 516 (1995). Crossref, Google Scholar
X. H. Zhu and Z. Meng, Sensors Actuators A: Phys. 48(3), 169 (1995). Crossref, Web of Science, Google Scholar
T. Haukeet al., Ferroelectrics 238(1), 195 (2000). Crossref, Google Scholar
A. Kruusing, Smart Mater. Struct. 9(2), 186 (2000). Crossref, Web of Science, Google Scholar
S. Joshi, A. Mukherjee and S. Schmauder, Comput. Mater. Sci. 28(3), 548 (2003). Crossref, Web of Science, Google Scholar
J. F. Liet al., J. Am. Ceram. Soc. 86(7), 1094 (2003). Crossref, Web of Science, Google Scholar
J. Qiuet al., Smart Mater. Struct. 12(1), 115 (2003). Crossref, Web of Science, Google Scholar
K. Takagiet al., J. Eur. Ceram. Soc. 23(10), 1577 (2003). Crossref, Web of Science, Google Scholar
Q. Wang and S. T. Quek, Smart Mater. Struct. 9(1), 103 (2000). Crossref, Web of Science, Google Scholar
C. W. Bert, X. Wang and A. G. Striz, Int. J. Solids Struct. 30(13), 1737 (2011). Crossref, Web of Science, Google Scholar
J. N. Reddy , Mechanics of Laminated Composite Plates: Theory and Analysis ( CRC Press , New York , 1997 ) . Google Scholar
J. G. Smits, S. I. Dalke and T. K. Cooney, Sensors Actuators A: Phys. 28(1), 41 (1991). Crossref, Web of Science, Google Scholar
H. J. Lee, J. Intell. Mater. Syst. Struct. 16(4), 365 (2005). Crossref, Web of Science, Google Scholar
C. F. Lu and W. Q. Chen, Struct. Eng. Mech. 20(4), 465 (2005). Crossref, Web of Science, Google Scholar
J. N. Reddy , Int. J. Numer. Meth. Eng. 47 , 663 ( 2000 ) . Crossref, Web of Science, Google Scholar
J. Yang , S. Kitipornchai and K. M. Liew , Int. J. Numer. Meth. Eng. 59 , 1605 ( 2004 ) . Crossref, Web of Science, Google Scholar
J. Yang, K. M. Liew and S. Kitipornchai, Int. J. Mech. Sci. 47(10), 1519 (2005). Crossref, Web of Science, Google Scholar