水下爆炸-波浪联合作用下悬浮隧道响应分析

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摘要为了研究水下爆炸-波浪联合作用下悬浮隧道结构的动力响应，运用三阶Stokes波浪方程和Morison方程计算波浪力，基于D’Alembert原理建立运动微分方程，通过Galerkin法和Runge-Kutta法对其进行求解，并对所建立的荷载模型和联合模型进行验证，最后对不同荷载形式、波浪参数、爆炸参数等影响因素进行对比分析。结果表明：水下爆炸-波浪联合作用对悬浮隧道系统的动力响应影响显著，基于数值计算结果，随着波高和惯性力系数CM的增大，管体跨中最大位移呈增长趋势，随着周期、埋置深度和拖拽力系数CD增大，管体跨中最大位移呈衰减趋势。其次，比例距离与管体跨中最大位移呈幂指数关系变化，比例距离越大结构跨中位移越小。再者，爆炸冲击波压力峰值Pm还受到Cole公式中相似系数K0、α影响，通过对相似系数K0、α研究发现：相似系数K0对系统位移响应影响较小，α对系统位移响应影响显著，随着α增大，系统响应趋于稳定。

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	罗刚1
	郭正儒1
	张玉龙1
	任毅2
	潘少康3

关键词 ：悬浮隧道, 水下爆炸-波浪联合作用, 响应分析, 波浪参数, 爆炸参数

Abstract：In order to study the response of the submerged floating tunnel under the combined effect of underwater explosion and wave, the third-order Stokes wave equation and Morison equation were used to calculate the wave force, the differential equation of motion was established based on the D'Alembert principle and the Galerkin method and Runge Kutta method were used to solve it. The load model and joint model were verified.Finally,the influence factors such as different load -forms,wave parameters,and explosion parameters were compared and analyzed. The results show that the combined effect of underwater explosion and wave has a significant impact on the dynamic response of the submerged floating tunnel system. Based on the numerical calculation results,as the wave height and inertia force coefficient CM increase, the mid-span maximum displacement of the structure increases. With the increase of the period, embedded depth and Drag force coefficient CD,the mid-span maximum displacement of the structure decreases. The relationship between the scaled distance and the mid-span maximum displacement of the structure is power exponential, the larger the scaled distance, the smaller the mid-span displacement of the structure. Furthermore, the peak pressure Pm of the explosion shock wave is also affected by the similarity coefficients K0 and α in the Cole formula. Through the study of the similarity coefficients K0 and α, it is found that the similarity coefficient K0 has little influence on the system displacement response, and α has a significant influence on the system displacement response. As α increases, the system response tends to stabilize.

Key words： submerged floating tunnel underwater explosion-wave combined action response analysis wave parameters explosion parameters

收稿日期: 2020-09-23 出版日期: 2022-03-28

引用本文:

罗刚1，郭正儒1，张玉龙1，任毅2，潘少康3. 水下爆炸-波浪联合作用下悬浮隧道响应分析[J]. 振动与冲击, 2022, 41(6): 256-264.
LUO Gang1, GUO Zhengru1, ZHANG Yulong1, REN Yi2, PAN Shaokang3. Response analysis of a submerged floating tunnel under the combined effect of underwater explosion and wave. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(6): 256-264.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I6/256

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