Finite Element of a Smart Beam with Piezoelectric Patches using Electroelastic Formulation

Author(s):  
S.N. Ahmad ◽  
C.S. Upadhyay ◽  
C. Venkatesan
Keyword(s):  

2020 ◽  
Vol 10 (6) ◽  
pp. 6549-6556
Author(s):  
K. G. Aktas ◽  
I. Esen

The aim of this study is to design a Linear Quadratic Regulator (LQR) controller for the active vibration control of a smart flexible cantilever beam. The mathematical model of the smart beam was created on the basis of the Euler-Bernoulli beam theory and the piezoelectric theory. State-space and finite element models used in the LQR controller design were developed. In the finite element model of the smart beam containing piezoelectric sensors and actuators, the beam was divided into ten finite elements. Each element had two nodes and two degrees of freedom were defined for each node, transverse displacement, and rotation. Two Piezoelectric ceramic lead Zirconate Titanate (PZT) patches were affixed to the upper and lower surfaces of the beam element as pairs of sensors and actuators. The location of the piezoelectric sensor and actuator pair changed and they were consecutively placed on the fixed part, the middle part, and the free end of the beam. In each case, the design of the LQR controller was made considering the first three dominant vibratory modes of the beam. The effect of the position of the sensor-actuator pair on the beam on the vibration damping capability of the controller was investigated. The best damping performance was found when the sensor-actuator pair was placed at the fixed end.



2015 ◽  
Vol 738-739 ◽  
pp. 151-154
Author(s):  
Yong Zhou ◽  
Shi Li ◽  
Liang Bin Xie

Based on variational principle, the state-vector equation is established for driving analysis of a laminated beam with piezoelectric actuating layers. The beam are considered as a 2D line solid and the linear element is used. The influence of secondary converse piezoelectric effect (SCPE) on the displacement of the laminated beam is investigated. The state space finite element method is utilized to predict the deflection of the beam considering SCPE or not. If the influence of SCPE is eliminated, the displacement of the clamped beam increase by ∼2.7%. Furthermore, the effects with different PZT/steel thickness ratio considering SCPE are also studied.



Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.



1986 ◽  
Vol 19 (4) ◽  
pp. 807-824
Author(s):  
Wayne F. Larrabee ◽  
J.A. Galt




1991 ◽  
Vol 3 (1) ◽  
pp. 235-253 ◽  
Author(s):  
L. D. Philipp ◽  
Q. H. Nguyen ◽  
D. D. Derkacht ◽  
D. J. Lynch ◽  
A. Mahmood




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