基于Morison方程分层积分计算悬浮隧道的波浪力

为了研究计算悬浮隧道波浪力随高度的变化规律，根据悬浮隧道的特点，结合Morison方程，提出沿悬浮隧道高度进行分层积分的方法来计算悬浮隧道水平波浪力和竖直波浪力，并将计算结果与采用传统的直接取用其水平轴线的波浪速度和加速度及相应的阻水面积来计算其波浪力（简称简化法）计算结果进行比较，同时研究悬浮隧道直径、放置深度、波浪周期等因素对两者计算差异的影响，最后还进一步用线性波和二阶Stokes非线性波计算理论分析讨论波浪周期对波浪力的影响.结果表明，所提出的分层积分法的计算值与简化法计算结果在隧道直径或高度在25 m以内、波浪周期大于9 s时，两者最大误差在3%左右，即简化法带来的误差一般可以忽略.而Stokes波浪理论计算的悬浮隧道波浪力要大于线性波浪理论值，当波浪周期大于12 s时，两者最大误差在3.9%左右，因此，对于平坦波有必要采用高阶Stokes波浪理论进行校核.

The layered integrating method for calculating wave force of submerged floating tunnel based on Morison equation

In order to study the variation of the wave force in SFT with the height, in terms of SFT characteristics, it is presented calculating the horizontal and vertical wave force acting on SFT by the layered integrating method based on Morison equation. The values obtained by the presented method are compared with the results gained by traditional simplified method in which speed and acceleration at axial line of SFT were adopted (or simplified method for short). The influence of the tunnel diameter, the distance between water surface and tunnel top, wave period etc. factors on the two calculation methods was explored. In final, the influence of wave cycle on wave force was discussed by respectively using the linear wave and second order nonlinear Stokes wave theory. The results show that maximum error between the values given by the presented layered integrating method and values by the simplified method reaches about 3% when the tunnel diameter or height is about 25 m and the wave cycle larger than 9 s. So, the error caused by the simplified method can be generally ignored. And the SFT wave force obtained by the Stokes wave theory is larger than that by the linear wave theory. The maximum error between them reaches about 3.9% when the wave cycle is greater than 12 s. Hence, it is necessary to check the calculation results by higher order wave theory for the flat wave with long wave-length.