Research on 3 Dimension Manifold Method and its application

Y. Wu, Guangqi Chen, Z. Jiang, Q. Li, W. Wei, X. Liu, J. Zhao

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

On the research of 3-Dimension Numeric Manifold Method (3DNMM), we discuss the characteristics of simplex integration algorithm and analyze the accurate character of 3DNMM results. Firstly, we analyze the accuracy of the simplex integration through comparing the theoretical results with calculated results, which parameters include the volume and center of gravity. The results show that the relative error between calculated results and theoretical results is about 10 -15-10 -14, and the graphics conditions have minimal impact on integral results. Then, we compare the calculation results from 3DNMM with theoretical results, which include motion of a free falling body, deformation of the cantilever beam and slipping on the tilt surface. These comparison analysis shows that 3DNMM has the characteristics of high precision and can reach good simulated effect in limited elements.

Original languageEnglish
Title of host publicationProceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10
Pages281-288
Number of pages8
Publication statusPublished - Feb 24 2012
Event10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10 - Honolulu, HI, United States
Duration: Dec 6 2011Dec 8 2011

Publication series

NameProceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10

Other

Other10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10
CountryUnited States
CityHonolulu, HI
Period12/6/1112/8/11

Fingerprint

Cantilever beams
Numerics
Gravitation
tilt
gravity
method
Centre of gravity
Cantilever Beam
Relative Error
Tilt
Motion
analysis
comparison
calculation
effect
parameter

All Science Journal Classification (ASJC) codes

  • Geotechnical Engineering and Engineering Geology
  • Numerical Analysis

Cite this

Wu, Y., Chen, G., Jiang, Z., Li, Q., Wei, W., Liu, X., & Zhao, J. (2012). Research on 3 Dimension Manifold Method and its application. In Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10 (pp. 281-288). (Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10).

Research on 3 Dimension Manifold Method and its application. / Wu, Y.; Chen, Guangqi; Jiang, Z.; Li, Q.; Wei, W.; Liu, X.; Zhao, J.

Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10. 2012. p. 281-288 (Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Wu, Y, Chen, G, Jiang, Z, Li, Q, Wei, W, Liu, X & Zhao, J 2012, Research on 3 Dimension Manifold Method and its application. in Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10. Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10, pp. 281-288, 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10, Honolulu, HI, United States, 12/6/11.
Wu Y, Chen G, Jiang Z, Li Q, Wei W, Liu X et al. Research on 3 Dimension Manifold Method and its application. In Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10. 2012. p. 281-288. (Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10).
Wu, Y. ; Chen, Guangqi ; Jiang, Z. ; Li, Q. ; Wei, W. ; Liu, X. ; Zhao, J. / Research on 3 Dimension Manifold Method and its application. Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10. 2012. pp. 281-288 (Proceedings of the 10th International Conference on Advances in Discontinuous Numerical Methods and Applications in Geomechanics and Geoengineering, ICADD 10).
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