CAJ | 학술논문

假设悬索桥主缆在相邻两吊杆之间的缆索段自重沿桥跨径方向均匀分布,均布荷载集度与该段索长度有关,则每段索可假设为满足抛物线方程.忽略缆索抗弯性能,各缆索段端点处水平力相等,索拉力沿索端点处切线方向.根据节点力平衡,并考虑到位移条件,得到以各段端点高差及水平力为未知量的耦合方程组.通过解算方程组并修正矩阵参数直接得到主缆线形坐标及水平力,进一步对各段抛物线积分得到主缆的有应力和无应力长度.该方法不需要迭代,因此计算速度快.算例结果表明该方法计算精度很高,可以用于悬索桥设计与施工计算.
가설현색교주람재상린량조간지간적람색단자중연교과경방향균균분포,균포하재집도여해단색장도유관,칙매단색가가설위만족포물선방정.홀략람색항만성능,각람색단단점처수평력상등,색랍력연색단점처절선방향.근거절점력평형,병고필도위이조건,득도이각단단점고차급수평력위미지량적우합방정조.통과해산방정조병수정구진삼수직접득도주람선형좌표급수평력,진일보대각단포물선적분득도주람적유응력화무응력장도.해방법불수요질대,인차계산속도쾌.산례결과표명해방법계산정도흔고,가이용우현색교설계여시공계산.
Assuming self-weight of cable segments uniform distributed with coordinate axis, the cable segments curve can be denoted as parabolic function. Based on the force equalization of nodes, and considering the displacement coordination conditions, the parameter equations are established, in which the height differences and horizontal force are considered as unknown quantifies. To be worth presenting, the equations can be solved directly. So the unknown quantities can be obtained quickly. The fact that calculation result meets well with exact solution indicates the method can be used for design and construction control for cable bridges.