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

• 论文 • 上一篇    下一篇

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

张琳楠1, 石志飞2   

  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
  • 收稿日期:2003-03-12 修回日期:2003-05-13 出版日期:2003-10-18 发布日期:2003-10-18
  • 基金资助:
    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])

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])

摘要: 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.

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.

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