Analytical Solution of a Simply Supported Piezoelectric Beam Subjected to a Uniformly-Distributed Loading

ZHANG Lin-nan; SHI Zhi-fei

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(10): 1075-1082

ZHANG Lin-nan, SHI Zhi-fei. Analytical Solution of a Simply Supported Piezoelectric Beam Subjected to a Uniformly-Distributed Loading[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1075-1082.

Citation:

ZHANG Lin-nan, SHI Zhi-fei. Analytical Solution of a Simply Supported Piezoelectric Beam Subjected to a Uniformly-Distributed Loading[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1075-1082.

Citation:

ZHANG Lin-nan, SHI Zhi-fei. Analytical Solution of a Simply Supported Piezoelectric Beam Subjected to a Uniformly-Distributed Loading[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1075-1082.

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Analytical Solution of a Simply Supported Piezoelectric Beam Subjected to a Uniformly-Distributed Loading

ZHANG Lin-nan¹,
SHI Zhi-fei²

1.
College of Science, China Agriculture University, Beijing 100083, P.R.China;
2.
College of Civil Engineering and Architecture, Northern Jiaotong University, Beijing 100044, P.R.China

Received Date: 2002-03-12
Rev Recd Date: 2003-05-13
Publish Date: 2003-10-15

Abstract

Abstract

Using the inverse method,the analytical solution of a simply supported piezoelcetric beam subjected to a uniformly distributed loading has been studied.First,the polynomials of stress function and induction function are given.Then,considering the gradient properties of the elastic parameter and the potential funciton as well as the piezoelectric parameter,the analytical solution of a simply supported beam subjected to a uniformly distributed loading is obtained and discussed.
- simply supported beam:FGM,
- analytical solution,
- piezoelectric material,

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References(13)

References

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