拱结构空间几何非线性分析的曲梁单元

3D curved-beam element for geometrically nonlinear analysis of arch structure

利用势能原理和插值函数推导了一种拱结构空间几何非线性分析的曲梁单元。采用固定Lagrange坐标系和Newton Raphson求解法。使用本文的方法与其他方法相比 ,该方法将轴向应变的非线性部分取平均值 ,提高了结果的精确性 ,而且单元数量大大减少。

A nonlinear curved-beam finite element is developed for three-dimensional space systems by using the principle of potential energy and polynomial functions.The method of solution used is that of the fixed lagrange coordinates and Newton-Raphson procedure.Compar sons of the method with those of various other methods indicate that,A major improvement in the accuracy of the element is obtained by averaging the nonlinear part of the axial strain,in terms of the number of element,the method seems significantly more effective than other