Theoretical Study of Three-Dimensional Numerical Manifold Method

LUO Shao-ming; ZHANG Xiang-wei; LÜ Wen-ge; JIANG Dong-ru

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(9): 1027-1032

LUO Shao-ming, ZHANG Xiang-wei, LÜ Wen-ge, JIANG Dong-ru. Theoretical Study of Three-Dimensional Numerical Manifold Method[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1027-1032.

Citation:

LUO Shao-ming, ZHANG Xiang-wei, LÜ Wen-ge, JIANG Dong-ru. Theoretical Study of Three-Dimensional Numerical Manifold Method[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1027-1032.

Citation:

LUO Shao-ming, ZHANG Xiang-wei, LÜ Wen-ge, JIANG Dong-ru. Theoretical Study of Three-Dimensional Numerical Manifold Method[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1027-1032.

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Theoretical Study of Three-Dimensional Numerical Manifold Method

Faculty of Mechanical & Electronical Engineering, Guangdong Unviersity of Technology, Guangzhou 510090, P. R. China

Received Date: 2003-08-18
Rev Recd Date: 2005-05-27
Publish Date: 2005-09-15

Abstract

Abstract

The three-dimensional Numerical Manifold Method(NMM)is studied on the basis of two-dimensional numerical manifold method.The three-dimensional cover displacement function is studied.The mechanical analysis and Hammer integral method of three-dimensional numerical manifold method are put forward,the stiffness matrix of three-dimensional manifold element are derived and the dissection rules are given.The theoretical system and numerical realizing method of three-dimensional numerical manifold method are systematically studied.As an example,the cantilever with load on the end is calculated,the results show that the precision and efficiency is agreeable.
- numerical manifold method,
- three-dimensional analysis,
- finite cover

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References(8)

References

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