%0 Journal Article
%A SU Hai-dong
%A XIE Zhi-qiang
%T Application of Essential Boundary Conditions in NumericalManifold Method Based on Independent Covers
%D 2017
%R 10.11988/ckyyb.20161345
%J Journal of Yangtze River Scientific Research Institute
%P 140-146
%V 34
%N 12
%X At present, some new numerical methods  such as Numerical Manifold Method (NMM) and  Meshless Method are facing with  the difficulty of strictly applying essential boundary conditions. Through a case study of a cantilever beam, the application of essential boundary conditions is systematically analyzed in NMM based on independent covers previously proposed by the authors. On the basis of polynomial cover functions, two methods are presented: one is the improved method of boundary cover functions; and the other is the method of setting independent cover functions. The boundary conditions are strictly satisfied, and the approximate functions near the boundaries are guaranteed to approach the real solutions. The proposed methods are refrained from the influence of penalty number in common penalty method on computational results and linear equation conditions. Moreover, the implementation is very simple, for it just needs some degrees of freedom not involved in the computation.The proposed approach of  applying boundary conditions by setting cover functions has a reference value for other new methods.
%U http://ckyyb.crsri.cn/EN/10.11988/ckyyb.20161345