JOURNAL OF YANGTZE RIVER SCIENTIFIC RESEARCH INSTI ›› 2016, Vol. 33 ›› Issue (7): 121-125.DOI: 10.11988/ckyyb.20150343

• HYDRAULIC STRUCTURE AND MATERIAL • Previous Articles     Next Articles

Velocity Equations for High-order Numerical Manifold Method

SU Hai-dong   

  1. Department of Material and Structure, Yangtze River Scientific Research Institute, Wuhan 430010, China
  • Received:2015-04-22 Online:2016-07-01 Published:2016-07-11

Abstract: Computational accuracy of structure deformation can be improved greatly by the high-order Numerical Manifold Method (NMM). However, poor accuracy or even incorrect velocity results were obtained in the dynamic analysis involved in large displacement. Based on 2-D triangular mathematical meshes and 1-order polynomial cover functions, the reason of the above cases is discussed through an example of rotation of a rigid bar in this paper. Three treatments and the corresponding equations for high-order velocities are presented for the first time, reflecting the change of configuration coordinates under large displacement. The high-order numerical manifold method is useful to other methods such as Generalized Finite Element Method (GFEM) which introduces generalized freedoms at nodes when solving geometric nonlinear problems.

Key words: Numerical Manifold Method(NMM), high-order polynomial cover function, large displacement, velocity equation, generalized degree of freedom

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