多跨连续曲线梁在移动荷载下的动力响应

在对多跨曲线梁在移动荷载下动力响应的控制微分方程进行无量纲化处理、转换后，采用Ｒａｌｅｉｇｈ－Ｒｉｔｚ法对无量纲化方程进行解耦简化，得到以广义挠度和广义扭转角为未知量的运动微分方程。采用Ｍａｔｈｅｍａｔ－ｉｃａ ３．０软件对所得到的方程进行求解，首次得到此问题的理论解。计算结果与试验结果比较证明此方法正确、可靠。

DYNAMIC RESPONSE OF MULTIPLE SPAN CONTINUOUS CURVED BEAMS UNDER MOVING LOADS

The coupled dynamic equations for vertical deflections and cross-sectional rotations of horizontally curved beams are investigated by nondimensiotalzing and transferring process.Through adopting Raleigh-Ritz method to treat the nondi- mensionalized equations, the uncoupled epuations with the general deflections and general rotations as unknowns are ob- tained. With the assistance of software Mathematica 3 .0, analytical solutions are formulated to predict the critical beam responses to a vertical point force and a point twisting moment, both of constant magntitude, transversing the bridge at constant velocity. Experimental results of a the equal span curved bridge and a be unequal span curved bridge un- der a point moving load serve to validate the mathematical model being comet and reliable.