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数学与物理
力学研究
Vol. 3 No. 1 (March 2014)
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均匀流作用下悬浮隧道的涡激振动响应
Vortex-Induced Vibration Response of Submerged Floating Tunnel (SFT) under Uniform Flow
DOI:
10.12677/IJM.2014.31001
,
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被引量
下载: 2,865
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作者:
董满生
,
杨龙昌
:合肥工业大学交通运输工程学院,合肥
关键词:
水中悬浮隧道
;
涡激振动
;
动力响应
;
弹性梁
;
伽辽金法
;
Submerged Floating Tunnel
;
Vortex-Induced Vibration
;
Dynamic Response
;
Elastic Beam
;
Galerkin Method
摘要:
为了研究均匀流中悬浮隧道的涡激振动响应,将悬浮隧道简化成一个两端支座处带有弹簧和阻尼的弹性支撑梁,建立悬浮隧道在涡激振动作用下的结构动力方程。通过伽辽金法和模态叠加法求解方程,利用Matlab工具数值模拟得到了悬浮隧道的时程位移图形。通过对悬浮隧道的时程位移图形分析获得涡激振动作用下水中悬浮隧道管体的动力特性,以弹性支撑的弹簧刚度和阻尼对其位移的影响作用。分析结果显示弹性支撑的阻尼和弹簧在降低悬浮隧道位移均起一定作用,但是弹簧刚度的作用要比阻尼系数要大。
Abstract:
In order to analyze the dynamic response of submerged floating tunnel (SFT) in uniform flows under vortex-induced vibration (VIV), equations of motion control of SFT were derived by simplifying SFT as a beam with elastic bearings. The analytical solution was presented by using the Galerkin method and the modal superposition method. The displacement curves of SFT at the intermediate span were gained by using Matlab. The nonlinear vibration characteristics about SFT were analyzed. The results show that both damping and spring of the elastic bearings have a role in reducing the response displacement of SFT, while the effect of stiffness of spring on the SFT is greater than that of damping coefficient.
文章引用:
董满生, 杨龙昌. 均匀流作用下悬浮隧道的涡激振动响应[J]. 力学研究, 2014, 3(1): 1-12.
http://dx.doi.org/10.12677/IJM.2014.31001
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