%0 Journal Article
%A SU Hai-dong
%T Velocity Equations for High-order Numerical Manifold Method
%D 2016
%R 10.11988/ckyyb.20150343
%J Journal of Yangtze River Scientific Research Institute
%P 121-125
%V 33
%N 7
%X 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.
%U http://ckyyb.crsri.cn/EN/10.11988/ckyyb.20150343