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针对无旋、无粘和不可压缩的理想液体,根据Winkler弹性地基上矩形贮液结构的液-固耦合振动分析模型,通过引入无量纲参数建立了矩形贮液结构的液-固耦合系统的振动方程。为简化计算,根据梁的振型函数和频率方程,将三维问题转化为一维问题来处理,利用振型函数的正交性求解了Winkler弹性地基上矩形贮液结构的液-固耦合振动频率。最后,为便于工程应用,结合工程实际讨论了无量纲参数对矩形贮液结构液-固耦合振动频率的影响,从而为以后工程结构中矩形贮液结构的设计计算提供了理论依据。
According to the liquid-solid coupling vibration analysis model of rectangular liquid storage structure on Winkler elastic foundation, the vibration of liquid-solid coupling system with rectangular liquid storage structure is established by introducing dimensionless parameters for the ideal liquid without rotation, viscosity and incompressibility. equation. In order to simplify the calculation, the three-dimensional problem is transformed into a one-dimensional problem according to the mode shape function and the frequency equation of the beam. The oscillation frequency of the liquid-solid coupling structure of the rectangular reservoir structure on the Winkler elastic foundation is solved by the orthogonality of the mode shape function . Finally, in order to facilitate the application of the project, the influence of dimensionless parameters on the liquid-solid coupling vibration frequency of rectangular liquid storage structures is discussed in combination with engineering practice, which provides a theoretical basis for the design and calculation of rectangular liquid storage structures in later engineering structures.