用微分求积法分析不同支承条件下水下输流管道的动力特性与容许悬跨长度
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摘要
考虑管道材料的非线性和管外流体的阻尼因素,得到水下管跨段的非线性运动方程,应用DQ法建立其模拟方程,采用数值模拟方法,对管跨段在理想支承和弹性支承条件下的固有频率特性进行仿真,重点探讨了内外流流速、管内压力、轴向力、Strouhal数、所输送介质的密度对管跨段的临界流速及容许悬跨长度的影响。结果表明,不同的支承条件对系统的动力特性影响很大,为此提出了用弹性支承来分析实际水下管跨段动力特性的方法。
The dynamic characteristics and permitted free span of submarine pipelines under various supporting conditions were studied and the vibration equation considering the nonlinear material and fluid damping outside the pipe was formulated.The differential quadrature method was used to formulate the corresponding equation and the numerical simulating method was adopted to analyze the natural frequency of free-span submarine pipes under the ideal supporting conditions and elastic supporting conditions.The emphasis is put on analyzing the effect of flowing velocity inside and outside the pipe,the in-pipe pressure,the axial force,the Strouhal number and the consistency of conveyed fluid with the critical velocity and the limited span of submarine pipes.The result shows that the supporting conditions have important influence on the pipes' dynamic characteristics.The elastic supporting condition at ends,according to this paper,would be more reasonable to study the vibration characteristics of the submarine pipelines.
The dynamic characteristics and permitted free span of submarine pipelines under various supporting conditions were studied and the vibration equation considering the nonlinear material and fluid damping outside the pipe was formulated.The differential quadrature method was used to formulate the corresponding equation and the numerical simulating method was adopted to analyze the natural frequency of free-span submarine pipes under the ideal supporting conditions and elastic supporting conditions.The emphasis is put on analyzing the effect of flowing velocity inside and outside the pipe,the in-pipe pressure,the axial force,the Strouhal number and the consistency of conveyed fluid with the critical velocity and the limited span of submarine pipes.The result shows that the supporting conditions have important influence on the pipes' dynamic characteristics.The elastic supporting condition at ends,according to this paper,would be more reasonable to study the vibration characteristics of the submarine pipelines.
引文
[1]Kalliontzis C.Numerical simulation of submarine pipelines in dynamic contact with a moving seabed[J].Earthquake Engineering and StructuralDynamics,1998,27:465-486.
[2]Datta TK,Mashaly E A.Transverse response of offshore pipelines to random ground motion[J].Earthquake Engineering and Structural Dynam-ics,1990,19(2):217-228.
[3]Choi HS.Free spanning analysis for offshore pipeline[J].Ocean Engineering,2001,15(2):1325-1338.
[4]杨新华,郭海燕,娄敏,等.考虑阻尼海底悬跨段管道的动力特性及允许悬空长度[J].海洋工程,2005,23(1):1-5.
[5]李昕,刘亚坤,周晶,等.海底悬跨管道动力响应的试验研究和数值模拟[J].工程力学,2003,20(2):21-25.
[6]周晶,李昕,马恒春,等.地震时海底悬跨管道动力特性试验研究[J].水利学报,2003,34(1):12-16.
[7]唐友刚,李长升,李小敏.悬空管线的振动特性分析[J].海洋工程,1995,13(1):70-74.
[8]肖芳淳.河底管道悬空段状态矩阵分析[J].石油规划设计,2001,12(3):16-20.
[9]刘志军,倪立峰,周星德,等.悬垂管道跨越结构地震反应分析[J].地震工程与工程振动,2004,24(5):123-126.
[10]余建星,罗延生,杨晶.海底管线悬空段模糊固有频率的计算[J].地震工程与工程振动,2002,22(3):66-70.
[11]Biolley F.On wake oscillator models for 2-D vortex-induced vibrations[J],Journal of Fluids and Structures,2002,7:97-123.
[12]Bert C W,Malik M.Differential quadrature method in computational mechanics:A review[J].Appl.Mech.Rev.,1996,49(1):1-27.
[13]Chio S T,Chou YT.Vibration analysis of elastically supported turbomachinery blades by the modified differential quadrature method[J].Journalof Sound and Vibration,2003,259(3):525-539.
[14]王鑫伟.微分求积法在结构力学中的应用[J].力学进展,1995,25(2):232-240.
[2]Datta TK,Mashaly E A.Transverse response of offshore pipelines to random ground motion[J].Earthquake Engineering and Structural Dynam-ics,1990,19(2):217-228.
[3]Choi HS.Free spanning analysis for offshore pipeline[J].Ocean Engineering,2001,15(2):1325-1338.
[4]杨新华,郭海燕,娄敏,等.考虑阻尼海底悬跨段管道的动力特性及允许悬空长度[J].海洋工程,2005,23(1):1-5.
[5]李昕,刘亚坤,周晶,等.海底悬跨管道动力响应的试验研究和数值模拟[J].工程力学,2003,20(2):21-25.
[6]周晶,李昕,马恒春,等.地震时海底悬跨管道动力特性试验研究[J].水利学报,2003,34(1):12-16.
[7]唐友刚,李长升,李小敏.悬空管线的振动特性分析[J].海洋工程,1995,13(1):70-74.
[8]肖芳淳.河底管道悬空段状态矩阵分析[J].石油规划设计,2001,12(3):16-20.
[9]刘志军,倪立峰,周星德,等.悬垂管道跨越结构地震反应分析[J].地震工程与工程振动,2004,24(5):123-126.
[10]余建星,罗延生,杨晶.海底管线悬空段模糊固有频率的计算[J].地震工程与工程振动,2002,22(3):66-70.
[11]Biolley F.On wake oscillator models for 2-D vortex-induced vibrations[J],Journal of Fluids and Structures,2002,7:97-123.
[12]Bert C W,Malik M.Differential quadrature method in computational mechanics:A review[J].Appl.Mech.Rev.,1996,49(1):1-27.
[13]Chio S T,Chou YT.Vibration analysis of elastically supported turbomachinery blades by the modified differential quadrature method[J].Journalof Sound and Vibration,2003,259(3):525-539.
[14]王鑫伟.微分求积法在结构力学中的应用[J].力学进展,1995,25(2):232-240.
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