A Time Domain Method for Quasi-Static Analysis of Viscoelastic Thin Plates

ZHANG Neng-hui; CHENG Chang-jun

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ZHANG Neng-hui, CHENG Chang-jun. A Time Domain Method for Quasi-Static Analysis of Viscoelastic Thin Plates[J]. Applied Mathematics and Mechanics, 2001, (10): 1001-1008.

Citation:

ZHANG Neng-hui, CHENG Chang-jun. A Time Domain Method for Quasi-Static Analysis of Viscoelastic Thin Plates[J]. Applied Mathematics and Mechanics, 2001, (10): 1001-1008.

Citation:

ZHANG Neng-hui, CHENG Chang-jun. A Time Domain Method for Quasi-Static Analysis of Viscoelastic Thin Plates[J]. Applied Mathematics and Mechanics, 2001, (10): 1001-1008.

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A Time Domain Method for Quasi-Static Analysis of Viscoelastic Thin Plates

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

Received Date: 2000-07-18
Rev Recd Date: 2001-04-24
Publish Date: 2001-10-15

Abstract

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.
- viscoelastic thin plate,
- von Kûrmûn’s hypothesis,
- Galerkin method,
- quasi-static response,
- direct method,
- integro-differential equation

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References(6)

References

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