悬索桥竖向自由振动的传递矩阵解

该文将传递矩阵方法引入悬索桥竖向自由振动求解.首先，提出了悬索桥竖向自由振动微分方程的求解方法，由此求解方法可直接得到结构自由振动解析式.在此基础上，得出了悬索桥竖向自由振动分析的传递矩阵.应用此方法，该文研究了等截面悬索桥及变截面悬索桥竖向自由振动问题.研究结果表明，传递矩阵法能高效地进行悬索桥竖向自由振动分析，并对变截面问题的处理有独特的优势.研究工作对悬索桥在方案设计阶段的动力学分析有一定的参考价值和借鉴意义.

A Transfer Matrix Algorithm for Vertical Free Vibration of Suspension Bridges

A transfer matrix algorithm was proposed for the solution of vertical free vibration of suspension bridges. First, a solution scheme was presented for the governing differential equation of vertical free vibration of suspension bridges, in which the analytic expression of structural free vibration was deduced directly. On this basis, the transfer matrix of the vertical free vibration was obtained. With this method, the problem of vertical free vibration of both the uniform-cross-section and the nonuniform-cross-section suspension bridges was studied. The research results indicate that the transfer matrix algorithm is efficient for the analysis of the vertical free vibration of suspension bridges, and has specific advantages in dealing with the nonuniform-cross-section problem. The work makes a good reference for the dynamic analysis of suspension bridges in the concept design stage.