| Bending analysis of a functionally graded piezoelectric cantilever beam |
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| 作者姓名： | YU Tao & ZHONG Zheng School of Aerospace Engineering and Applied Mechanics Tongji University Shanghai China |
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| 作者单位： | YU Tao & ZHONG Zheng School of Aerospace Engineering and Applied Mechanics，Tongji University，Shanghai 200092，China |
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| 摘 要： | A new analysis based on Airy stress function method is presented for a functionally graded piezoelectric material cantilever beam. Assuming that the mechanical and electric properties of the material have the same variations along the thickness direction, a two-dimensional plane elasticity solution is obtained for the coupling electroelastic fields of the beam under different loadings. This solution will be useful in analyzing FGPM beam with arbitrary variations of material properties. The influences of the functionally graded material properties on the structural response of the beam subjected to different loads are also studied through numerical examples.
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| 收稿时间： | 3 December 2005 |
| 修稿时间： | 1 June 2006 |
Bending analysis of a functionally graded piezoelectric cantilever beam |
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| YU Tao & ZHONG Zheng School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai ,China.Bending analysis of a functionally graded piezoelectric cantilever beam[J].Science in China(Physics Astronomy),2007,50(1):97-108. |
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| Authors: | Yu Tao Zhong Zheng |
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| Institution: | School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China |
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| Abstract: | A new analysis based on Airy stress function method is presented for a functionally graded piezoelectric material cantilever beam.Assuming that the mechanical and electric properties of the material have the same variations along the thickness direction,a two-dimensional plane elasticity solution is obtained for the coupling electroelastic fields of the beam under different loadings.This solution will be useful in analyzing FGPM beam with arbitrary variations of material properties.The influences of the functionally graded material properties on the structural response of the beam subjected to different loads are also studied through numerical examples. |
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| Keywords: | functionally graded piezoelectric material cantilever beam bending electroelastic fields |
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