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研究桥梁的传递关系一般是通过初参数法来求解的。辅助体系法是不同于初参数法的另一种方法,它利用一端固定一端自由的一种辅助体系来研究杆件两端的关系,通过对桥梁不同类型支座的研究,分析不同支座的力学性能。采用辅助体系法分别推导了弹性支座、刚性铰支座和刚性固定支座的传递矩阵,并将其与梁、墩结合在一起构成整个桥梁的传递关系。编制了相应的MATLAB程序,并进行了实例计算。实例计算表明,辅助体系传递矩阵法正确有效,对于支座传递关系的计算简便、实用,可用于桥梁结构的初步设计和最终校核。
The study of bridge transmission relationship is generally solved by the initial parameter method. Auxiliary system method is different from the initial parameter method of another method, which uses one end of the fixed free end of an auxiliary system to study the relationship between the two ends of the rod, through the bridge of different types of bearing research, analysis of different bearing mechanics performance. The transfer matrix of elastic support, rigid hinge support and rigid support is deduced respectively by means of the auxiliary system method and combined with the beam and pier to form the transmission relation of the whole bridge. The corresponding MATLAB program is compiled and an example calculation is made. The example calculation shows that the auxiliary system transfer matrix method is correct and effective, and the calculation of the transfer relation of the support is simple and practical, which can be used in the preliminary design and final check of the bridge structure.