应力波在吊索-梁结头处的传播规律

为分析吊索与拱肋连接处的受力特点,通过引入应力波理论的方法研究吊索-梁结头处应力波传播规律.利用刚性结头处的位移协调性和内力连续性建立控制方程,假设入射波、反射波和透射波的质点位移函数,从而求出反射系数及透射系数的影响矩阵;最后,对拱肋截面特性进行参数分析,并与有限元计算结果进行对比.结果表明:在梁截面无限大和无限小的两种特殊情况下,理论计算均可以回归到经典理论,而且随着梁截面尺寸的不断增大,索上端的轴力也是不断增大,可见拱肋的截面特性和材料特性对吊索上端受力的影响非常明显.

Study on the law of stress wave propagation at the joint of string - beam

In order to analyze the stress characteristics of the joint between sling and arch rib, the stress wave theory was used to study the law of stress wave propagation at the sling - beam junction. Based on the displacement coordination and internal force continuity at the rigid junction head, the governing equation is established. The influence matrix of reflection coefficient and transmission coefficient is obtained based on the assuming the particle displacement function of incident wave, reflected wave and transmitted wave. Finally, the characteristics of arch rib section are analyzed and compared with the results of finite element calculation. The results show that in two special cases of infinite beam section and infinitesimal beam section, the theoretical calculation can return to the classical theory. The axial force at the top of the cable increases with the increasing of the beam section size. It is concluded that the cross section characteristics and material characteristics of the arch rib have a significant effect on the upper end of the sling.