Static Analysis of Functionally Graded Piezoelectric Beams under Thermo-Electro-Mechanical Loads
This paper presents the analysis of static bending of beams made of functionally graded piezoelectric materials (FGPMs) under a combined thermo-electro-mechanical load. The Euler Bernoulli theory (EBT), first-order shear deformation theory (FSDT) and third-order shear deformation theory (TSDT) were...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2011-01-01
|
| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1155/2011/153731 |
| _version_ | 1818894253427785728 |
|---|---|
| author | Amin Komeili Abdol Hamid Akbarzadeh Arezou Doroushi Mohammad Reza Eslami |
| author_facet | Amin Komeili Abdol Hamid Akbarzadeh Arezou Doroushi Mohammad Reza Eslami |
| author_sort | Amin Komeili |
| collection | DOAJ |
| description | This paper presents the analysis of static bending of beams made of functionally graded piezoelectric materials (FGPMs) under a combined thermo-electro-mechanical load. The Euler Bernoulli theory (EBT), first-order shear deformation theory (FSDT) and third-order shear deformation theory (TSDT) were employed to compare the accuracy and the reliability of each theory in applications. The material properties vary continuously through the thickness direction. The material compositions were selected from the PZT family. The governing equations were derived from Hamilton's principle and solved using the finite element method and Fourier series method. Cubic Hermit interpolation shape function was used for estimating the transverse deflection, and the linear interpolation function was used for the axial displacement and the shear rotation as well. Fourier series expansion, based on the boundary conditions, were employed to solve the governing equations analytically. The accuracy of the method was validated by comparing the results with the previous studies. Finite element results were compared with the analytical results presented in this paper. A comprehensive parametric study is conducted to show the influence of the voltage, shear deformation, material composition, end supports, and the slenderness ratio on the thermo-electro-mechanical characteristic. |
| first_indexed | 2024-12-19T18:25:33Z |
| format | Article |
| id | doaj.art-9578b5d3a34b4ae18ea7e37fa6f71681 |
| institution | Directory Open Access Journal |
| issn | 1687-8132 |
| language | English |
| last_indexed | 2024-12-19T18:25:33Z |
| publishDate | 2011-01-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-9578b5d3a34b4ae18ea7e37fa6f716812022-12-21T20:10:51ZengSAGE PublishingAdvances in Mechanical Engineering1687-81322011-01-01310.1155/2011/15373110.1155_2011/153731Static Analysis of Functionally Graded Piezoelectric Beams under Thermo-Electro-Mechanical LoadsAmin Komeili0Abdol Hamid Akbarzadeh1Arezou Doroushi2Mohammad Reza Eslami3 Mechanical Engineering Department, Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, Iran Mechanical Engineering Department, Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, Iran Mechanical Engineering Department, Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, Iran Academy of Sciences, Tehran, IranThis paper presents the analysis of static bending of beams made of functionally graded piezoelectric materials (FGPMs) under a combined thermo-electro-mechanical load. The Euler Bernoulli theory (EBT), first-order shear deformation theory (FSDT) and third-order shear deformation theory (TSDT) were employed to compare the accuracy and the reliability of each theory in applications. The material properties vary continuously through the thickness direction. The material compositions were selected from the PZT family. The governing equations were derived from Hamilton's principle and solved using the finite element method and Fourier series method. Cubic Hermit interpolation shape function was used for estimating the transverse deflection, and the linear interpolation function was used for the axial displacement and the shear rotation as well. Fourier series expansion, based on the boundary conditions, were employed to solve the governing equations analytically. The accuracy of the method was validated by comparing the results with the previous studies. Finite element results were compared with the analytical results presented in this paper. A comprehensive parametric study is conducted to show the influence of the voltage, shear deformation, material composition, end supports, and the slenderness ratio on the thermo-electro-mechanical characteristic.https://doi.org/10.1155/2011/153731 |
| spellingShingle | Amin Komeili Abdol Hamid Akbarzadeh Arezou Doroushi Mohammad Reza Eslami Static Analysis of Functionally Graded Piezoelectric Beams under Thermo-Electro-Mechanical Loads Advances in Mechanical Engineering |
| title | Static Analysis of Functionally Graded Piezoelectric Beams under Thermo-Electro-Mechanical Loads |
| title_full | Static Analysis of Functionally Graded Piezoelectric Beams under Thermo-Electro-Mechanical Loads |
| title_fullStr | Static Analysis of Functionally Graded Piezoelectric Beams under Thermo-Electro-Mechanical Loads |
| title_full_unstemmed | Static Analysis of Functionally Graded Piezoelectric Beams under Thermo-Electro-Mechanical Loads |
| title_short | Static Analysis of Functionally Graded Piezoelectric Beams under Thermo-Electro-Mechanical Loads |
| title_sort | static analysis of functionally graded piezoelectric beams under thermo electro mechanical loads |
| url | https://doi.org/10.1155/2011/153731 |
| work_keys_str_mv | AT aminkomeili staticanalysisoffunctionallygradedpiezoelectricbeamsunderthermoelectromechanicalloads AT abdolhamidakbarzadeh staticanalysisoffunctionallygradedpiezoelectricbeamsunderthermoelectromechanicalloads AT arezoudoroushi staticanalysisoffunctionallygradedpiezoelectricbeamsunderthermoelectromechanicalloads AT mohammadrezaeslami staticanalysisoffunctionallygradedpiezoelectricbeamsunderthermoelectromechanicalloads |