Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (10): 1215-1223.

• Articles • Previous Articles     Next Articles

ANALYTICAL SOLUTION OF A SIMPLY SUPPORTED PIEZOELECTRIC BEAM SUBJECTED TO A UNIFORMLY DISTRIBUTED LOADING

ZHANG Lin-nan1, SHI Zhi-fei2   

  1. 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:2003-03-12 Revised:2003-05-13 Online:2003-10-18 Published:2003-10-18
  • Supported by:
    the National Natural Science Foundation of China (50272003); the Teachingand Research Award Fund for Ouststanding Young Teachers in Higher Education Institutions of MOE, P. R. C. (2002[26])

Abstract: Using the inverse method, the analytical solution of a simply supported piezoelectric 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.

2010 MSC Number: 

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