【摘要】 本文提出利用样条有限点法来分析拱结构非线性稳定问题。用3次B样条函数来构造结构的位移模式,基于最小势能原理导出了拱式结构的单元刚度矩阵。分析中考虑了材料及几何非线性特征,计算公式简便,易于编程。依本文方法编制了程序,对一典型算例进行了分析。更多还原

【Abstract】 In this paper, a spline finite point method is presented for the solution of the double nonlinear stability of arch structures. Taking the cubic B spline functions as displacement functions, the nonlinear stiffness equations of spline discretization are established based on the principle of minimum potential energy. Both geometrically and materially nonlinear characteristics of the structure are considered in the present study. Numerical examples are provided to demonstrate the simplicity and effectiveness of the present method. The results are in good agreement with experimental data.更多还原