摘要
为了研究水下爆炸-波浪联合作用下悬浮隧道(SFT)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C_(M)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C_(D)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P_(m)还受到Cole公式中相似系数K_(0)、α影响,通过对相似系数K_(0)、α研究发现:相似系数K_(0)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。
In order to study the response of a submerged floating tunnel(SFT)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.The effects of influential factors such as load-form,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 responses of the submerged floating tunnel system.Based on the numerical calculation results,it is shown that as the wave height and inertia force coefficient C_(M) increase,the mid-span maximum displacement of the structure increases.With the increase of the period,embedded depth and drag force coefficient C_(D),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 P_(m) of the explosion shock wave is also affected by the similarity coefficients K_(0) and α in the Cole formula.It is found that the similarity coefficient K_(0) has little influence on the system displacement response,whileαhas a significant influence on the system displacement response.As α increases,the system response tends to be stationary.
作者
罗刚
郭正儒
张玉龙
任毅
潘少康
LUO Gang;GUO Zhengru;ZHANG Yulong;REN Yi;PAN Shaokang(Highway School,Chang’an University,Xi’an 710064,China;College of Civil Engineering,Shaoxing University,Shaoxing 312000,China;Guangxi Xinfazhan Communications Group Co.,Ltd.,Nanning 530029,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2022年第6期256-264,288,共10页
Journal of Vibration and Shock
基金
国家自然科学基金(51708042)
陕西省自然科学基金(2019JQ-008)。
关键词
悬浮隧道(SFT)
水下爆炸-波浪联合作用
响应分析
波浪参数
爆炸参数
submerged floating tunnel(SFT)
underwater explosion-wave combined action
response analysis
wave parameter
explosion parameter
