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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (10): 1109-1117.

• 论文 •    下一篇

A TIME DOMAIN METHOD FOR QUASI-STATIC ANALYSIS OF VISCOELASTIC THIN PLATES

张能辉, 程昌钧   

  1. Shanghai Institute of Applied Mathematics and Mechanics; Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • 收稿日期:2000-07-18 修回日期:2001-04-24 出版日期:2001-10-18 发布日期:2001-10-18
  • 基金资助:
    the National Natural Science Foundation of China(19772027);the Science Foundation of Shanghai Municipal Commission of Education(99A01);the Postdoctoral Science Foundation of Shanghai(1999)

A TIME DOMAIN METHOD FOR QUASI-STATIC ANALYSIS OF VISCOELASTIC THIN PLATES

ZHANG Neng-hui, CHENG Chang-jun   

  1. Shanghai Institute of Applied Mathematics and Mechanics; Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • Received:2000-07-18 Revised:2001-04-24 Online:2001-10-18 Published:2001-10-18
  • Supported by:
    the National Natural Science Foundation of China(19772027);the Science Foundation of Shanghai Municipal Commission of Education(99A01);the Postdoctoral Science Foundation of Shanghai(1999)

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摘要： Based on the Boltzmann’s superposition principles of linear viscoelastic materials and the von Kûrmûn’s hypotheses of thin plates with large deflections, a mathematical model for quasi-static problems of viscoelastic thin plates was given. By the Galerkin method in spatial domain, the original integro-partial-differential system could be transformed into an integral system. The latter further was reduced to a differential system by using the new method for temporal domain presented in this paper. Numerical results show that compared with the ordinary finite difference method, the new method in this paper is simpler to operate and has some advantages, such as, no storage and quicker computational speed etc.

Abstract: Based on the Boltzmann’s superposition principles of linear viscoelastic materials and the von Kûrmûn’s hypotheses of thin plates with large deflections, a mathematical model for quasi-static problems of viscoelastic thin plates was given. By the Galerkin method in spatial domain, the original integro-partial-differential system could be transformed into an integral system. The latter further was reduced to a differential system by using the new method for temporal domain presented in this paper. Numerical results show that compared with the ordinary finite difference method, the new method in this paper is simpler to operate and has some advantages, such as, no storage and quicker computational speed etc.

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