论文部分内容阅读
考虑圆形水池池壁剪切变形的影响、底板对池壁的径向约束作用和转动约束作用,将圆形水池底板与池壁的相互作用简化成端部受切向弹性约束和转动弹性约束下的弹性地基Timoshenko梁,基于Timoshenko梁振动的修正理论,导出了底部环向简支、顶部分别为自由、铰支和固支三种边界条件下的振动频率超越方程;根据池壁和弹性地基梁微分方程的类比性,阐述了利用ANSYS建立圆形水池振动模态分析的有限元方法。利用二分法对底板环形简支的圆形水池的振动频率进行了计算,分析了顶部不同边界条件、池高、池的半径和底板对池壁弯曲约束刚度对池壁振动频率的影响。得到了圆形水池轴对称振动可采用弹簧-质量模型进行基频估算、该文所建立的分析方法只能分析圆形水池的轴对称振动模态、圆形水池底板与池壁相互作用对基频影响不明显、壁厚的剪切变形和转动惯量对高阶振动影响大等结论。
Considering the influence of shear deformation on the circular pool wall, the radial restraint and rotational restraint of the floor to the pool wall, the interaction between the circular pool floor and the pool wall is simplified to be tangential and rotational elastic restraint Based on the modified theory of Timoshenko beam vibration, the bottom of the Timoshenko beam is derived. The top of the torsional vibration of the Timoshenko beam is the free vibration, the hinge and the branch. Beam analogy of the differential equation, the use of ANSYS to establish a circular basin vibration mode analysis of the finite element method. Vibration frequencies of a circular tank with annular simple support were calculated by dichotomy. The influence of top boundary conditions, tank height, tank radius and floor restraint stiffness on the tank wall vibration frequency were analyzed. The axial-symmetric vibration of a circular basin can be estimated by using the spring-mass model. The analytical method established in this paper can only analyze the axial symmetry vibration modes of a circular basin. The interaction between the circular basin floor and the cell wall Frequency is not obvious, wall thickness shear deformation and moment of inertia on high-order vibration and so on.