摘要
在岩体工程数值流形方法分析中,往往存在较多的固定约束边界。目前,数值流形方法一般采用罚函数方法处理固定边界问题,但罚弹簧的布置与大小对数值模拟的效果有一定的影响,且处理方式也比较复杂。基于流形单元上位移函数的组成提出固定约束处理的新方法,将固定边界的约束处理转化为对广义节点的约束处理,改变广义节点上的覆盖函数使固定边界的约束条件得到严格满足,并推导相应的流形单元刚度矩阵。该方法在物理意义上严格满足固定边界的约束条件,同时简化了处理工作,有利于数值流形方法程序的实现和工程应用。
In numerical manifold method, fixed boundary is treated by penalty function method. The arrangement and value of penalty spring will affect the effect of numerical modeling; and work is complex. Based on the composition of displacement function on manifold element, a new method of constraints treatment of fixed boundary is proposed： and it changes the constraints treatment of fixed boundary into the constraints treatment of generalized node~ and the constraints condition will be met strictly by using special cover function on physical cover; and then corresponding stiffness matrix is deduced. New method had been proved theoretically that it is correct; and it not only meets strictly the constraints condition in physical meaning, but it has simplified work of treatment. It is helpful for programming and the application of numerical manifold method to engineerings.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2005年第19期3582-3587,共6页
Chinese Journal of Rock Mechanics and Engineering
基金
西部交通建设科技项目(2002–318–000–26)
关键词
数值分析
数值流形方法
广义节点
覆盖函数
固定边界
约束处理
numerical analysis： numerical manifold method： generalized node
cover function
fixed boundary
constraints treatment
