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本文应用有限单元法分析计算了考虑拱轴轴向变形时,等截面双铰、三铰和固端圆拱的自振频率及振型,得出了上述圆拱在各种矢跨比与径厚比时,自振圆拱频率系数的计算曲线。文中将本曲线与以往各种圆拱频率的近似计算公式及曲线作了对比,并给出了这些近似公式通用范围的边界曲线,从而得出如下有益的结论: ①对于圆拱对称振动的自振频率,轴向变形的影响相当重要,不能忽略,而对于反对称振动的自
In this paper, the finite element method is used to analyze and calculate the natural frequencies and modes of the double-edged, triple-joint and solid-end circular arches with equal cross-section considering the axial deformation of the arch shaft. In the case of thickness ratio, the calculation curve of self-vibration circular arch frequency coefficient. This paper compares this curve with the approximate calculation formulas and curves of various round frequencies in the past, and gives the boundary curves of the general range of these approximate formulas, and thus draws the following useful conclusions: 1 For the circular arch symmetrical vibration self The influence of the axial frequency on the vibration frequency is very important and cannot be ignored, but for the anti-symmetric vibration