悬索桥主缆线形解析方程解及应用  

SOLUTION OF MAIN CABLE SHAPE EQUATIONS OF A SUSPENSION BRIDGE AND ITS APPLICATION

作　　者：张志国[1] 邹振祝[1,2] 赵玉成[3] 陈伟[3] 

机构地区：[1]哈尔滨工业大学航天工程与力学系 [2]石家庄铁道学院土木分院,河北石家庄050043 [3]石家庄铁道学院土木分院

出　　处：《工程力学》2005年第3期172-176,189,共6页Engineering Mechanics

摘　　要：假设悬索桥主缆自重沿弧长均匀分布,加劲梁、桥面等其余恒载沿水平均匀分布,按考虑和不考虑主缆弹性伸长对主缆线比重影响的计算模型,根据主缆微元的力学平衡关系,通过引入一个参数u(shu=dy/dx),分别导出了悬索桥主缆成桥线形的解析参数方程。由边界条件,将定解问题转化为一组非线性方程组,以抛物线理论值为求解初始值,采用拟牛顿法求解中跨端点未知参数和主缆张力的水平分量。然后通过改变参数u来确定主缆线形坐标。最后由积分法导出了主缆索有应力和无应力长的计算公式。算例结果表明两种计算模型收敛速度较快,计算精度较高,都可以用于悬索桥设计与施工计算。Analytic parameter equations for the main cable curve of a suspension bridge are derived. Calculation models taking into account the influence of its elastic elongation due to its weight and neglecting the elongation are established. A set of non-linear equations result after incorporating boundary conditions. The equations are solved with quasi-Newton method. A formula is derived for the main cable length of a suspension bridge in free stress or stressed state with integration method. The calculation result shows that the two calculation models enjoy rapid convergence and high precision, and are applicable to the design and construction control of suspension bridges.

关 键 词：悬索桥 主缆 解析方程 无应力索长 有应力索长 

分 类 号：U448.25[建筑科学—桥梁与隧道工程]