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A time domain method for quasi-static analysis of viscoelastic thin plates

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Abstract

Based on the Boltzmann's superposition principles of linear viscoelastic materials and the von Kármán'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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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics; Department of Mechanics, Shanghai University, 200072, Shanghai, P R China

    Zhang Neng-hui & Cheng Chang-jun

Authors
  1. Zhang Neng-hui
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  2. Cheng Chang-jun
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Additional information

Paper from CHENG Chang-jun, Member of Editorial Committee, AMM

Foundation item: 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)

Biography: ZHANG Neng-hui (1970-), Doctor

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Neng-hui, Z., Chang-jun, C. A time domain method for quasi-static analysis of viscoelastic thin plates. Appl Math Mech 22, 1109–1117 (2001). https://doi.org/10.1007/BF02436446

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  • DOI: https://doi.org/10.1007/BF02436446

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