Improvement of Cover Displacement Functions in the Numerical Manifold Method
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摘要: 通过对数值流形方法刚度矩阵形成的研究,提出一种改进的覆盖位移函数,以改善刚度矩阵计算。分析表明,改进的覆盖位移函数可使刚度矩阵的局部大数数量级明显的降低,提高计算效率,给矩阵求解提供适当的意见,并给出算例验证方法的正确性。Abstract: Based on research of the formation of stiffness matrix in the numerical manifold method, physical cover displacement function is improved to mend the stiffness matrix that relatively huge numerical value appears in part of that. The result shows that locally huge numerical value is greatly reduced as adoption of improved formulation of physical cover displacement function, and calculation efficiency is enhanced. This supplies a reasonable suggestion for the solution of the stiffness matrix. An example testifies the validity of the proposed approach.
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