Modeling of a three-layer piezoelectric bimorph beam with hysteresis

1995 ◽  
Vol 4 (4) ◽  
pp. 230-237 ◽  
Author(s):  
T.S. Low ◽  
W. Guo
Keyword(s):  
Piezoelectric Bimorph ◽  
Bimorph Beam

An Analytical Method for Vibration Modelling of a Piezoelectric Bimorph Beam for Power Harvesting

2009 ◽  
Author(s):  
Mikail F. Lumentut ◽  
Ian M. Howard
Keyword(s):  
Electric Field ◽  
Normal Modes ◽  
Dynamic Equations ◽  
Beam Model ◽  
Piezoelectric Bimorph ◽  
Virtual Displacement ◽  
Power Harvesting ◽  
Transverse Bending ◽  
Bimorph Beam ◽  
Longitudinal Extension

This paper presents the development of a mathematical method for modelling a piezoelectric bimorph beam under two input base-transversal and longitudinal excitations. The piezoelectric bimorph beam model was based on the Euler-Bernoulli beam coupled with polarity-electric field for low power harvesting. The piezoelectric bimorph beam with brass centre shim was also coupled to a simple electrical circuit of resistor component. The existence of input base-longitudinal motion can affect the overall strain, polarity and electric field of the cantilevered piezoelectric bimorph, identified to have predominant bending due to input transverse-base motion. The characteristic physical behaviour of the bimorph model for parallel connection can create mode vector configurations of X-poling due to longitudinal extension form and Y-poling due transverse bending form. Conversely, the effect of series connection of the physical bimorph model can create X-poling due to transverse bending and Y-poling due to longitudinal extension forms. A new method of solving the piezoelectric bimorph under two input base-motions using coupling superposition of the elastic-polarity field has been introduced. The governing dynamics equations can be derived analytically using the weak form of Hamiltonian theorem to obtain the constitutive equations. DuBois-Reymond lemma can be used to separate three constitutive dynamic equations based on independent coefficients of the virtual displacement vectors. Furthermore, the solution forms for the three governing dynamics equations were assumed using the three independent normal modes of displacement functions based on the normal modes in the transversal, longitudinal and electric potential mode forms. To this end, the dynamic equations for frequency response, dynamic displacements, accelerations and electric voltage can be further computed analytically according to the suggested formulations.

Five-port equivalent electric circuit of piezoelectric bimorph beam

2000 ◽  
Vol 84 (1-2) ◽  
pp. 140-148 ◽  
Author(s):  
Young S. Cho ◽  
Y.Eugene Pak ◽  
Chang S. Han ◽  
Sung K. Ha
Keyword(s):  
Electric Circuit ◽  
Piezoelectric Bimorph ◽  
Equivalent Electric Circuit ◽  
Bimorph Beam

Five-port equivalent electric circuit of piezoelectric bimorph beam

1999 ◽  
Author(s):  
Young-Seon Cho ◽  
Y. Eugene Pak ◽  
Hee M. Jeong ◽  
Sung K. Ha
Keyword(s):  
Electric Circuit ◽  
Piezoelectric Bimorph ◽  
Equivalent Electric Circuit ◽  
Bimorph Beam

Dynamic Finite Element Analysis of a Piezoelectric Bimorph Beam Deflector With Consideration of Hysteresis Effect

2003 ◽  
Author(s):  
Paul C. P. Chao ◽  
C. W. Chiu ◽  
J. S. Huang ◽  
H. C. Tseng
Keyword(s):  
Finite Element ◽  
Constitutive Equations ◽  
Hysteresis Effect ◽  
Piezoelectric Bimorph ◽  
Governing Equations ◽  
Element Analysis ◽  
Dynamic Finite Element Analysis ◽  
Polarization Term ◽  
Bimorph Beam ◽  
Element Technique

This study is devoted to propose a method of finite element technique to account for the hysteresis effect of a piezoelectric bimorph beam deflector. To this end, the constitutive equations of a general piezoelectric material are first modified to include the hysteresis effect by adding a polarization term in one of constitutive equations. Based on these modified constitutive equations and employment of Preisach model for hysteresis, the governing equations of the bimorph beam are derived through the utilization of Hamilton’s principle and calculus of variation. In addition, according to the common physical rules, boundary, transition and continuous conditions are next formulated to complement the governing equations. Simulations are finally conducted to show the effectiveness of the proposed modeling technique and decipher the dynamic behavior of the piezoelectric beam with consideration of hysteresis effect.

scholarly journals Analysis of the Dynamic Characteristics of a Micro-Piezoelectric Bimorph Beam Based on an Admittance Test

Micromachines ◽  
2017 ◽  
Vol 8 (7) ◽  
pp. 220
Author(s):  
Tianxiang Zheng ◽  
Shuo Chen ◽  
Linxu Lei ◽  
Zhanfeng Deng ◽  
Cheng Zhang ◽  
...  
Keyword(s):  
Dynamic Characteristics ◽  
Piezoelectric Bimorph ◽  
Bimorph Beam
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