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本文从薄壳理论出发,用有限条法导出了两铰改进锥面弯拱的刚度矩阵和相容质量矩阵,讨论了改进锥面弯拱的极限情况——两铰直拱的刚度矩阵和相容质量矩阵,编制了计算自振频率和振型的程序。程序计算结果与模型测试结果以及能量法计算结果对比表明:有限条法运用于拱桥分析是可行的;对常用宽跨比直拱分析按平面拱假设计算是合理的;拱轴轴向变形对频率计算结果的影响一般是不可忽略的。
Based on the thin shell theory, the stiffness matrices and compatible mass matrices of the improved two-hinged conical camber are deduced from the thin shell theory. The limitations of the improved taper camber are discussed: the stiffness matrix and phase Capacity matrix, the preparation of the calculation of natural frequency and mode of vibration procedures. Comparing the result of the program with the result of the model test and the comparison of the energy method, the results show that it is feasible to apply the finite strip method to the analysis of the arch bridge. It is reasonable to calculate the common arch rib width by the plane arch assumption. The impact of the calculation results is generally not negligible.