长江科学院院报2017，Vol.34Issue(12)：140-146,7.DOI:10.11988/ckyyb.20161345
独立覆盖流形法的本质边界条件施加方法
Application of Essential Boundary Conditions in Numerical Manifold Method Based on Independent Covers
摘要
Abstract
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.关键词
数值流形方法/独立覆盖/本质边界条件/多项式覆盖函数/罚函数法Key words
Numerical Manifold Method (NMM)/independent covers/essential boundary conditions/polynomial cover functions/penalty function method分类
通用工业技术引用本文复制引用
苏海东,颉志强..独立覆盖流形法的本质边界条件施加方法[J].长江科学院院报,2017,34(12):140-146,7.基金项目
中央级公益性科研院所基本科研业务费项目(CKSF2015033/CL,CKSF2016022/CL) （CKSF2015033/CL,CKSF2016022/CL）
