Semi-analytic methods for analysis of laminated piezoelectric cylinders

Chengwen Liu; Stanley B. Dong; Ertugrul Taciroglu

doi:10.1117/12.539374

29 July 2004 Semi-analytic methods for analysis of laminated piezoelectric cylinders

Chengwen Liu, Stanley B. Dong, Ertugrul Taciroglu

Proceedings Volume 5391, Smart Structures and Materials 2004: Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems; (2004) https://doi.org/10.1117/12.539374
Event: Smart Structures and Materials, 2004, San Diego, CA, United States

Abstract

A semi-analytic method is presented for analyzing the behavior of layered, circular piezoelectric cylinders under axisymmetric mechanical and electric loads. Discretization occurs in the radial direction so that any number of layers with distinct material properties and thickness can be accommodated. Axial and circumferential behaviors are obtained analytically. Mechanical loads include axial force, torque, longitudinal and circumferential surface shears, and arbitrary pressure distributions. Electric loads include voltage and charge distributions along the axis of the cylinder that may be applied on any layer’s surface. In the present approach, all loads are represented by power series in the axial coordinate. There are several advantages provided by the semi-analytic method. First, as part of the solution is analytic, it is more accurate than any fully discrete (e.g., finite element) method. It is also computationally more efficient than discrete methods as the dimension of the problem is reduced, essentially, by one order. Second, the method is more accurate than technical (beam, plate, shell) theories as the deformation of the cross-section is not constrained by any simplifying kinematic hypothesis. Third, it provides solutions for complex geometry and material distributions for which there are no analytic solutions. The method may be extended to general, nonhomogeneous cross-sectional geometries. Veracity of our implementation is demonstrated by comparing the results for various problems with those obtained via three-dimensional finite element methods. We also provide the analysis of a bimodal actuator to demonstrate the utility of the present technique for evaluating designs of smart structures with layered, axisymmetric geometries.

Citation Download Citation

Chengwen Liu, Stanley B. Dong, and Ertugrul Taciroglu "Semi-analytic methods for analysis of laminated piezoelectric cylinders", Proc. SPIE 5391, Smart Structures and Materials 2004: Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, (29 July 2004); https://doi.org/10.1117/12.539374

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
11 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Finite element methods

Kinematics

Actuators

Chemical elements

Smart structures

Matrices

Electrodes

Show All Keywords

Keywords/Phrases

Search In:

Publication Years