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本文用内接多边形代替抛物线拱轴,用结点集中质量代替沿拱轴连续分布的质量,以机动链杆的位移代替折线拱的位移,对双铰和三铰抛物线拱的固有振动频率与相应的振动形式进行了讨论。 由于拱的对称性,计算时分别按固有振动的对称和反对称振动形式,运用图解分析法与矩阵理论进行计算,方法十分简便。
In this paper, the intrinsic polygons are used instead of parabolic arch shafts, and the mass of nodes is used instead of the mass distributed continuously along the axis of the arch. The displacement of the arches is replaced by the displacement of the chain of the maneuvering chain. The natural frequencies and corresponding frequencies of the double- and three-axis parabolic arches are corresponding. The form of vibration is discussed. Due to the symmetry of the arch, calculations are based on the symmetric and antisymmetric vibration modes of the natural vibration, and the calculations are performed using the graphical analysis method and the matrix theory. The method is very simple.