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刘习军, 张素侠, 刘国英, 贾启芬, 唐友刚. 矩形弹性壳液耦合系统中的重力波分析[J]. 力学学报, 2006, 38(1): 106-112. DOI:10.6052/0459-1879-2006-1-2004-319
引用本文: 刘习军, 张素侠, 刘国英, 贾启芬, 唐友刚. 矩形弹性壳液耦合系统中的重力波分析[J]. 力学学报, 2006, 38(1): 106-112.DOI:10.6052/0459-1879-2006-1-2004-319
The analyses of gravity waves in a rectangular elastic fluid-shell coupled system[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(1): 106-112. DOI:10.6052/0459-1879-2006-1-2004-319
Citation: The analyses of gravity waves in a rectangular elastic fluid-shell coupled system[J].Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(1): 106-112.DOI:10.6052/0459-1879-2006-1-2004-319

矩形弹性壳液耦合系统中的重力波分析

The analyses of gravity waves in a rectangular elastic fluid-shell coupled system

  • 摘要:根据非线性动力学理论,建立了矩形壳液耦合系统的非线性振动方程组,通过数值求解,发现当激振频率为壳体固有频率与重力波频率之和,且激振力足够大时,会产生大幅低频重力波. 通过实验验证,发现了壳液耦合系统中存在的大幅低频重力波现象,实验结果与理论结果基本吻合.

    Abstract:The theory and experiment about gravity waves in arectangular elastic fluid-shell coupled system are presented in thispaper. A set of equations are constructed according to fluid and vibrationtheory. Based on the boundary and initial conditions of the system, thevelocity potential of the fluid and the surface wave function of the firstgravity wave are obtained. Through the numerical calculation for theequations, the time response curves and response spectrum are given to thefirst gravity wave. The results show that when gravity wave appears, theshell acts as pendulum and the gravity wave's motion is harmonic.Furthermore, the effects of exciting force and the frequency to the systemare also discussed. Only when the force is large enough to conquer theviscid resistance and the frequency is near a certain constant, gravitywaves are engendered, which is the result of resonance vibration. At thesame time, the experimental study is processed. The phenomena observed areresonance without gravity wave if the system is excited on the shell with ahorizontal force and the force is large enough but the frequency out of thescope. When all the conditions are met, large-amplitude and low-frequencygravity waves are observed. All the experimental results show goodqualitative agreement with the theoretical results.

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