【摘要】 借鉴连拱静力分析中的∑法,由功的互等定理和弹性中心法推导了拱和墩的静力变形曲线,接着以 2 孔连拱为例,推导了其自振基频的近似计算公式,并讨论了采用不同质量分布、不同抗推刚度对计算结果的影响.按本文计算结果与有限元法计算结果及实测结果比较吻合,因此本文提供的连拱拱桥基频计算近似公式,具有一定的工程实用价值.本方法可推广到多孔连拱拱桥自振频率的计算.更多还原

【Abstract】 Borrowing the idea of ∑method which is one of the methods to make static analysis of arcade, static deformation curves of arch and pier are derived according to the reciprocal theorem of work and the (elastic) centre method. Then taking a 2spanmultiplearch bridge for instance,an approximate formula to calculate the lowest frequency of arcade when free vibration occurs is derived.The influence of mass distribution and thrust stiffness on calculated results are also discussed.The results calculated by the formula in this paper coincide with the results calculated by FEM (finite element method),and those are also in accordance with the results of the experiment well.The formula to calculate the arcade’s fundamental frequency presented can be applied in actual engineering,and also can be applied to nspanmultiplearch bridge (n>2) .更多还原