CAJ | 학술논문

基于有限元理论，采用二节点非线性索单元与线性杆单元离散接触网系统；根据索、杆的精确表达式推导单元切线矩阵；根据结构拓扑关系组装刚度矩阵和不平衡力矩阵，建立整体非线性平衡方程；利用 Newton-Raphson法求解该平衡方程，建立接触网的初始平衡状态三维模型，并在模拟算例中得到线性收敛的计算结果。将计算得到的吊弦长度与现有的文献和软件计算结果对比，验证了本方法和模型的有效性。
기우유한원이론，채용이절점비선성색단원여선성간단원리산접촉망계통；근거색、간적정학표체식추도단원절선구진；근거결구탁복관계조장강도구진화불평형력구진，건립정체비선성평형방정；이용 Newton-Raphson법구해해평형방정，건립접촉망적초시평형상태삼유모형，병재모의산례중득도선성수렴적계산결과。장계산득도적조현장도여현유적문헌화연건계산결과대비，험증료본방법화모형적유효성。
Based on the Finite Element Method,the catenary system was treated as a combination of two-node nonlinear cable elements and linear truss elements.By the accurate equations of cable and truss,the tangent matrices of the elements were deduced.According to structural topology information,the stiffness matrices and unbalanced force matrices were established,so as that the nonlinear integral equilibrium equation was built;through solving the equation with the Newton-Raphson method,the 3D initial equilibrium state model of cate-nary was built.The dropper length was calculated by examples and by comparing the results with published lit-erature and commercial software the efficiency of the proposed method was vertified.