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罚函数法在处理钻柱边界约束问题中的应用
引用本文:刘延强,吕英民. 罚函数法在处理钻柱边界约束问题中的应用[J]. 中国石油大学学报(自然科学版), 1993, 0(2)
作者姓名:刘延强  吕英民
作者单位:石油大学机械系(刘延强),石油大学机械系(吕英民)
摘    要:将罚函数法应用于钻柱有限元分析中.并将罚函数法与降阶法和对角线叠加法进行了计算对比.结果表明.罚函数法(尤其在非线性变形或工况复杂情况下)计算较为精确。收敛性也较好.对惩罚因子的选取进行了探讨,结果表明,惩罚因子取10~5~10~8时,计算效果较好;钻柱的不同方向适当采用不同程度的惩罚,可提高收敛速度而不影响计算结果.

关 键 词:钻柱  有限元分析  罚函数法  惩罚因子  边界约束  试算法

APPLICATION OF PENALTY FUNCTION METHOD TO TREATING BOUNDARY PROBLEM OF DRILLSTRING
Liu Yanqiang Lu Yingmin. APPLICATION OF PENALTY FUNCTION METHOD TO TREATING BOUNDARY PROBLEM OF DRILLSTRING[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1993, 0(2)
Authors:Liu Yanqiang Lu Yingmin
Abstract:The penalty function method is used in the finite element analysis of drillstring to find more effectively the unknown boundary constraints. The method is compared with the reducing rank method and the diagonal element addition method by computing. Its result is of higher accuracy and better convergence, especially in the case of nonlinear and tri-dimensional deformation. The effect is better when the penalty factor is between 105 and 103. Convergence can be improved and the results are not affected when different factors are used in different directions.
Keywords:Drilling string  Finite element analysis  Penalty function method  Boundary constraint: Penalty factor: Trial computing method
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