计及表面波的圆环形贮液容器的弯曲自由振动*
Free Bending Vibration of Annular Cylindrical Tank Partially Filled With Liquid in the Consideration of Surface Wave
-
摘要: 本文研究考虑表面波作用的圆环形贮液容器的弯曲自由振动问题,导出了贮液容器与液体耦联振动的振型函数和固有频率的精确计算公式,结果可借助于计算机求解.分析表明,水对容器的振动效应可等效于在内外环体上分别附着一不同的广义分布质量.Abstract: This paper studies the problem of free bending vibration of annular cylindricaltank partially filled with liquid in the consideration of surface wave.The exactformulae of the mode shape functions and frequencies are deduced.Results can beobtained by means of computer.The analysis shows that the effect of liquid on vibration of annular cylindrical tank is equivalent to different generalized distributivemasses attached to inner and outer cylinders respectively.
-
[1] 居荣初、曾心传,《弹性结构与液体的祸联振动理论》,地震出版社(1983). [2] Eischcr,D.,Dynamic fluid offccts in liquid-filled floxlblo cylindrical tank Earthq.Engng.and Struct.Dynamics,7(6)(1979),587-601. [3] Epstein,H.I.,Soismi.design of liquid-storoge tanks,Journul of the Structure Division,Proc.of the ASCE,Vol.102,No.S.T.9(1976),1659-1674. [4] 郑哲民、马宗魁,悬臂梁一侧有液体作用时的自主振动,力学学报,3(2)(1959),111-119. [5] 张悉德,部分埋入水中悬臂团柱体的弯曲自由振动,应用数学和力学,3(4)(1982),537-546. [6] 朱永谊、翁智远、吴家龙,部分潜入水中圆柱壳的振动分析,同济大学学报,4(1987).431-441. [7] Avineri E, Prashker J N.Sensitivity to travel time variability: travelers learning perspective[J]. Transportation Research Part C,2005, 13(2): 157-183. [8] 梁昆森,《数学物理方法》.人民教育出版社(1979). -
计量
- 文章访问数: 2204
- HTML全文浏览量: 157
- PDF下载量: 467
- 被引次数: 0
下载:
渝公网安备50010802005915号