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本文主要研究近海圆柱形贮液罐振动特性,这是个典型液-壳相互作用体系的研究课题.文中提出的解析法,将液、壳轴向模态位移用同一完备正交级数表示,使液、壳振型解耦合.同时将液、壳振型函数分解为一个一致收敛级数和另一线性多项式,解决了振型级数的收敛性和可微性.这样就得到对应于不同液深、任意边界条件、受约束的近海贮液罐的耦合固有频率的精确值和相应振型分布. 相似文献
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The vibration characteristics of offshore cylindrical tanks are studied in this paper. This is a typical topic of liquid-shell interaction system. In this paper, a general analytical method is presented by which the axial modal functions of liquid and shell are represented as the same complete orthogonal series for uncoupling the mode of liquid and shell. Simultaneously, the mode functions are expanded into a uniform convergence series and a linear polynomial, so that the problem of convergence and differentiation of mode series is solved. Therefore, the rather exact natural frequency and its corresponding mode of offshore cylindrical tank with different liquid depths, with arbitrary boundary conditions and with intermediate constraints can be obtained. 相似文献
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In this paper, a general analytical method based on Ref. [1] is presented to study the bending vibration of an elliptieal column partially submerged in water. Besides, it is pointed out that there is a limitation to the method mentioned in Ref. [2]. As a special example, the natural frequencies of circular column submerged in water considering compressibility are calculated, and the extent of compressible effect is given. 相似文献
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