水下悬浮隧道锚索的动力分析

Dynamic analysis for the tether of submerged floating tunnel

将悬浮隧道的锚索简化为受张力的梁,利用动力学方程和Morison方程,建立了锚索涡激振动方程,计算并讨论了锚索倾角、张力和长度的改变对其最大动剪力和最大动弯矩的影响。计算结果表明:在其他条件不变的情况下,锚索初张力和垂直深度的减小将引起其最大动剪力和最大动弯矩的增加,而锚索倾角的减小将引起其最大动剪力和最大动弯矩的减小;锚索的一阶固有频率与其初张力和倾角成正比例关系,与其垂直深度则成反比例关系。

The tether of a submerged floating tunnel is taken as a beam subjected to tension, and dynamits and Morison equations are used to set up vortex-induced oscillation equations of the tether. Effects of tether＇s obliquity, tension and length on its maximal dynamic shearing force and bending moments are discussed. The results show that the decrease of the vertical depth and tension of the tether induce the increase of the maximal dynamic shearing force and bending moment, whereas the decrease of tether＇s obliquity induces the decrease of the maximal dynamic shearing force and bending moment; the first-order natural frequency of tether is in direct proportion to the tension and obliquity, in inverse proportion to the vertical depth of water.