Analysis of a Composite Piezoelectric Circular Plate With Initial Stresses for MEMS

2002 ◽  
Author(s):  
Guiqin Wang ◽  
Bhavani V. Sankar ◽  
Louis N. Cattafesta ◽  
Mark Sheplak
Keyword(s):  
Composite Plate ◽  
Plate Theory ◽  
Composite Plates ◽  
Mechanical Analysis ◽  
Initial Stresses ◽  
Piezoelectric Composite ◽  
Mems Devices ◽  
Design And Optimization ◽  
Transverse Pressure ◽  
Analytical Result

The paper presents a mechanical analysis of the multi-layer circular composite plate For MEMS devices. Each layer of the plate is assumed to have different radius, material properties and initial stresses. Governing equations for the composite plate are derived based on the classical laminated plate theory, and analytical soultions have been developed for static deflection of the initially stressed plate due to transverse pressure loading as well as for a given electric field in the piezoelectric layer. A nonlinear finite elernent analysis of the plate is also performed. The analytical result match the FE results for the range of parameters used in the microphone design. The analytical model will be useful in the design and optimization of MEMS devices containing circular piezoelectric composite plates and diaphragms.

Thermoelastic Actuation: Solution for Circular Composite Plates With Application in MEMS

2002 ◽  
Author(s):  
Venkataraman Chandrasekaran ◽  
Mark Sheplak ◽  
Louis N. Cattafesta ◽  
Bhavani V. Sankar
Keyword(s):  
Heat Conduction ◽  
Joule Heating ◽  
Plate Theory ◽  
Composite Plates ◽  
Mechanical Analysis ◽  
Conduction Model ◽  
Time Harmonic ◽  
Out Of Plane ◽  
Fourier Heat Conduction ◽  
Analytical Expressions

This paper presents the dynamic analysis of a thermoelastically actuated circular composite diaphragm, for MEMS applications. The diaphragm is used as an acoustic transmitter, actuated at ultrasonic frequencies via a diffused surface heater at its center. The principle of operation of the thermal actuator is the generation of an oscillating temperature gradient across the diaphragm cross-section due to Joule heating of the diffused heater, creating a thermal moment that results in out-of-plane bending of the diaphragm. The mechanical analysis of the diaphragm, modeled as a composite plate, is based on the classical laminated plate theory. The time harmonic heat conduction resulting from the Joule heating of the diffused surface heater, modeled as a surface heat flux input, is analyzed using the Fourier heat conduction model. Analytical expressions have been obtained for the temperature distribution, and the resulting thermal moment, and plate deflection.

Small-Amplitude Free-Vibration Analysis of Piezoelectric Composite Plates Subject to Large Deflections and Initial Stresses

2005 ◽  
Vol 128 (1) ◽  
pp. 41-49 ◽  
Author(s):  
Dimitris Varelis ◽  
Dimitris A. Saravanos
Keyword(s):  
Finite Element ◽  
Small Amplitude ◽  
Natural Frequencies ◽  
Free Vibration Analysis ◽  
Composite Plates ◽  
Nonlinear Effects ◽  
Laminated Plates ◽  
Initial Stresses ◽  
Piezoelectric Composite ◽  
Piezoceramic Actuator

A coupled theoretical and computational framework is presented for analyzing the small amplitude-free vibrational response of composite laminated plates with piezoelectric actuators and sensors, subject to nonlinear effects due to large rotations and initial stresses. Coupled laminate mechanics incorporating nonlinear governing equations with mixed-field shear-layerwise assumptions for the piezoelectric laminate are implemented. A finite element method is formulated to yield the linearized discrete dynamic equations of a piezocomposite plate on top of its nonlinear electrostatic response, and a novel eight-node coupled nonlinear plate finite element forms the basis of numerical analyses. The natural frequencies in a beam with a piezoceramic actuator and sensor subject to in-plane mechanical loading, high enough to induce buckling and postbuckling are also experimentally characterized, and comparisons to numerical results show excellent correlation. Additional numerical evaluations quantify the active shifting of natural frequencies in adaptive beams and plates subject to high out-of-plane and in-plane electromechanical loading, and the variation of modal frequencies during buckling and postbuckling response. Finally, the possibility to detect and actively manage buckling in adaptive piezocomposite plates is illustrated.

Incremental Deformations in Orthotropic Laminated Plates Under Initial Stress

1973 ◽  
Vol 40 (1) ◽  
pp. 193-200 ◽  
Author(s):  
C. T. Sun
Keyword(s):  
Wave Propagation ◽  
Initial Stress ◽  
Composite Plate ◽  
Plate Theory ◽  
Harmonic Wave ◽  
Composite Plates ◽  
Laminated Plates ◽  
Flexural Wave ◽  
Plate Equations ◽  
Flexural Wave Propagation

Plate equations for the incremental deformation in composite plates with orthotropic constituent layers are derived according to Trefftz’s formulation for elastic bodies under initial stress. The plate theory thus derived includes the microdeformation which can account for the heterogeneity of the plate. Flexural wave propagation under initial stress and buckling of a simply supported rectangular composite plate are investigated. In a special case of harmonic wave propagation in a free composite plate dispersion curves predicted by the plate equations are compared with the exact curve. Good agreement is observed for the complete plate theory and Approximation I, while the adequacy of the other two sets of simplified equations, Approximations II and III, depends vitally on the ratio of the transverse shear rigidities of the constituent materials.

Stability Analysis of Symmetric Laminated Composite Plates with Geometric Imperfections Under Longitudinal Temperature Gradient

2009 ◽  
Vol 25 (2) ◽  
pp. 161-165 ◽  
Author(s):  
A. Owhadi ◽  
B. Samsam Shariat
Keyword(s):  
Composite Plate ◽  
Plate Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Thermal Buckling ◽  
Laminated Composite Plates ◽  
Closed Form Solutions ◽  
Longitudinal Temperature Gradient ◽  
Longitudinal Temperature ◽  
Geometrical Imperfections

AbstractThermal buckling behaviour of rectangular laminated composite plates with initial geometrical imperfections is investigated in this article. The equilibrium, stability, and compatibility equations of an imperfect composite plate are derived using the first order shear deformation plate theory. The plate is assumed to be under longitudinal temperature rise. Resulting equations are used to obtain the thermal buckling load of the composite plate in closed-form solutions. The effect of initial imperfections on buckling loads are discussed.

Finite element modelling and experimental study on static deflection and vibration of piezoelectric composite plates

2010 ◽  
Vol 32 (2) ◽  
pp. 121-133
Author(s):  
Tran Ich Thinh ◽  
Le Kim Ngoc
Keyword(s):  
Finite Element ◽  
Dynamic Response ◽  
Composite Plate ◽  
Vibration Suppression ◽  
Shear Deformation Theory ◽  
Composite Plates ◽  
Element Model ◽  
Piezoelectric Composite ◽  
Piezoelectric Effects ◽  
Polyester Composite

A finite-element model based on the First-Order Shear Deformation Theory is developed for the static flexural shape and vibration control of a glass fibre/polyester composite plate bonded piezoelectric actuator and sensor patches. The piezoelectric's mass and stiffness are taken into account in the present model. A simple negative velocity feedback control algorithm coupling direct and converse piezoelectric effects are used to actively control the dynamic response of an integrated structure through a closed control loop. The static analysis and active vibration suppression control of a cantilever composite plate are performed as a numerical example to validate the proposed model. The Newmark-\(\beta\) method is used in the numerical simulation to calculate the dynamic response of the piezolaminated composite plate. The numerical results are presented with discussion and in good agreement with carried out experiments.

scholarly journals Experimental and Numerical Buckling Analyses of Laminated Composite Plates under Temperature Effects

2010 ◽  
Vol 19 (4) ◽  
pp. 096369351001900 ◽  
Author(s):  
Emin Ergun
Keyword(s):  
Composite Plate ◽  
Numerical Solutions ◽  
Laminated Composite ◽  
Composite Plates ◽  
Buckling Load ◽  
Fibre Reinforcement ◽  
Stacking Sequence ◽  
Laminated Composite Plates ◽  
Different Temperatures ◽  
Good Agreement

The aim of this study is to investigate, experimentally and numerically, the change of critical buckling load in composite plates with different ply numbers, orientation angles, stacking sequences and boundary conditions as a function of temperature. Buckling specimens have been removed from the composite plate with glass-fibre reinforcement at [0°]i and [45°]i (i= number of ply). First, the mechanical properties of the composite material were determined at different temperatures, and after that, buckling experiments were done for those temperatures. Then, numerical solutions were obtained by modelling the specimens used in the experiment in the Ansys10 finite elements package software. The experimental and numerical results are in very good agreement with each other. It was found that the values of the buckling load at [0°] on the composite plates are higher than those of other angles. Besides, symmetrical and anti-symmetrical conditions were examined to see the effect of the stacking sequence on buckling and only numerical solutions were obtained. It is seen that the buckling load reaches the highest value when it is symmetrical in the cross-ply stacking sequence and it is anti-symmetrical in the angle-ply stacking sequence.

Controllable acoustic rectification in one-dimensional piezoelectric composite plates

2013 ◽  
Vol 114 (16) ◽  
pp. 164504 ◽  
Author(s):  
Xin-Ye Zou ◽  
Bin Liang ◽  
Ying Yuan ◽  
Xue-Feng Zhu ◽  
Jian-Chun Cheng
Keyword(s):  
Composite Plates ◽  
Piezoelectric Composite ◽  
One Dimensional
Sign in / Sign up

Export Citation Format

Share Document