【摘要】 首先利用薄壁箱梁理论及样条有限点法建立了样条箱拱段单元的刚度矩阵、阻尼矩阵及质量矩阵,这种单元考虑了箱拱的拉压、弯曲、扭转、剪力滞、扭翘及畸翘等特性;其次利用QR法(秦荣的方法)建立了箱拱桥梁的动力模型,将三维问题变为一维问题求解;然后利用样条加权残数法建立了求解动力模型的无条件稳定算法,从而提出了箱拱桥梁地震反应分析的新方法。计算结果表明,此法不仅未知量数目少,计算时间省,而且精度高。更多还原

【Abstract】 The stiffness matrix,damping matrix and massive matirix of a spline box arch segment element are built by thin-walled box girder theory and spline finite point method,considering the charactistics of extension,compression,flexure,torsion,torsional warpage,distorsional warpage and shear lag deflection.The dynamic model for analysis of box arch bridges is built by Qin Rong method,this procedure decomposes three dimensional problem into one dimensional problem.Then the unconditionally stable algorithm for the solving of the dynamic equations is formed by the method of spline weighted residual,which formed a whole new set of method to analyze the seismic response of box arch bridges.With few unknown quantities and less computation time,the numerical results of this new method are in good agreement with an exact solution.更多还原