Calculation Method of Non-Linear Stiffness Matrix in Spline Finite Element Method

• 作者: Jian Qin Jianhua Feng Jun Chen Liang Qiao Lili Wang Yimin Ma
• 来源期刊: 数学计算：中英文版
• 学科: 数学
• 关键词: NON-LINEAR STIFFNESS MATRIX SPLINE function INTEGRAL by PARTS MATRIX assembly
• 年，卷（期）: 2016,（1）
• 页码范围: 1-5
• 页数: 5页
• 分类号: O1

摘要

According to the analytical characteristics of cubic B spline function,such as compactness and discontinuous smoothness,two methods,Global integral method and Assembling method are proposed to calculate the non-linear stiffness matrix in the spline finite element method.The Global integral method transforms the integral of the product of spline functions into the sum of boundary data of the product by integral by parts.The Assembling method uses the compactness characteristics of the spline function,reduces the n+3 order stiffness matrix in unit interval to the 4 order matrix,and then obtains the global matrix by assembling the small ones.The two proposed methods are clear in theory and easy to be realized by computer program,which can effectively improve the efficiency of the algorithm for nonlinear spline element method.