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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (6): 619-626.

• 论文 •    下一篇

ELEMENT FUNCTIONS OF DISCRETE OPERATOR DIFFERENCE METHOD

田中旭1, 唐立民2, 刘正兴3   

  1. 1. Center of CIMS & Robotics, Shanghai University, Shanghai 200072, P. R. China;
    2. Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P. R. China;
    3. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P. R. China
  • 收稿日期:2000-07-07 修回日期:2002-01-29 出版日期:2002-06-18 发布日期:2002-06-18

ELEMENT FUNCTIONS OF DISCRETE OPERATOR DIFFERENCE METHOD

TIAN Zhong-xu1, TANG Li-min2, LIU Zheng-xing3   

  1. 1. Center of CIMS & Robotics, Shanghai University, Shanghai 200072, P. R. China;
    2. Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P. R. China;
    3. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P. R. China
  • Received:2000-07-07 Revised:2002-01-29 Online:2002-06-18 Published:2002-06-18

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摘要： The discrete scheme called discrete operator difference for differential equations was given. Several difference elements for plate bending problems and plane problems were given. By investigating these elements, the ability of the discrete forms expressing to the element functions was talked about. In discrete operator difference method, the displacements of the elements can be reproduced exactly in the discrete forms whether the displacements are conforming or not. According to this point, discrete operator difference method is a method with good performance.

Abstract: The discrete scheme called discrete operator difference for differential equations was given. Several difference elements for plate bending problems and plane problems were given. By investigating these elements, the ability of the discrete forms expressing to the element functions was talked about. In discrete operator difference method, the displacements of the elements can be reproduced exactly in the discrete forms whether the displacements are conforming or not. According to this point, discrete operator difference method is a method with good performance.

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