Analysis of laminated piezoelectric circular cylinders under axisymmetric mechanical and electrical loads with a semi-analytic finite element method
| Autor: | C.K Chun, Ertugrul Taciroglu, Stanley B. Dong, C.W. Liu |
|---|---|
| Rok vydání: | 2004 |
| Předmět: |
Engineering
Discretization business.industry Applied Mathematics Mechanical Engineering Mechanics Structural engineering Condensed Matter Physics Piezoelectricity Finite element method Cylinder (engine) law.invention Stress (mechanics) Mechanics of Materials law Modeling and Simulation General Materials Science business Material properties Electric displacement field Voltage |
| Zdroj: | International Journal of Solids and Structures. 41:5185-5208 |
| ISSN: | 0020-7683 |
| DOI: | 10.1016/j.ijsolstr.2004.04.001 |
| Popis: | A semi-analytical finite element method is presented for analyzing the behavior of a laminated circular piezoelectric cylinder under axisymmetric mechanical and electric loads. In this computationally efficient method, discretization occurs in the thickness direction so that any number of layers with distinct material properties and thicknesses can be accommodated. One end of this cylinder is assumed to be clamped and the other end is free. The mechanical loads include axial force, torque, any distribution of pressure, longitudinal and circumferential surface shears, as long as they can be represented by a power series in the axial coordinate. Electric loadings include voltage differences through the thicknesses as well as voltage or surface charge distributions along the axis of the cylinder. Herein, loading conditions leading to uniform, linearly and quadratically varying stress and electric displacement fields are considered. From the discussion of these cases, the extension of the method to higher order axial variations of the loads will be apparent. This problem and its solution procedure can be considered as an extension of Saint-Venant and Almansi-Michell problems for elastic bodies to piezoelectric bodies. A number of verification examples are given where it can be seen that the present results compare extremely well with known analytical solutions for a homogeneous cylinder and with numerical results obtained via three-dimensional finite element analyses. In addition, an example problem on actuation and sensing is provided to demonstrate the utility of the present technique for evaluating designs of this type of smart structures. |
| Databáze: | OpenAIRE |
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