CAJ | 학술논문

随着行车速度与交通量不断增加，荷载不断加重，桥梁的移动荷载响应越来越得到人们的重视。考虑移动车辆的惯性效应与桥梁的阻尼效应时，需要把车辆荷载简化为移动质量进行研究，这时得到的控制方程是变系数偏微分方程，在数学上通常难以精确求解。经分离变量与模态叠加后，化为变系数常微分方程组。本文利用WKB法，得到了近似的动力学响应，并与数值解、移动常力、Inglis解进行了比较。
수착행차속도여교통량불단증가，하재불단가중，교량적이동하재향응월래월득도인문적중시。고필이동차량적관성효응여교량적조니효응시，수요파차량하재간화위이동질량진행연구，저시득도적공제방정시변계수편미분방정，재수학상통상난이정학구해。경분리변량여모태첩가후，화위변계수상미분방정조。본문이용WKB법，득도료근사적동역학향응，병여수치해、이동상력、Inglis해진행료비교。
With increasing vehicle speed,traffic volume and axle load,the dynamic response of bridges under moving loads have attracted more and more attentions.In this paper,the vehicle load is simplified as moving mass,i.e.considering the inertia of the vehicle.Then the governing equation is partial differential equations with variable coefficients,which difficult to deal with in math.Using the method of separation of variables and mode superposition,the equations are reduced as ordinary differential equations with variable coefficients.By the modified WKB method,the approximate dynamical response is obtained.