CAJ | 학술논문

为了缩短求解车桥耦合系统动力响应的计算时间，利用振型分解法对车桥耦合系统的桥梁子系统和车辆子系统解耦，假定在每一时间步长内车桥相互作用力线性变化，借助Duhamel积分解析解，通过迭代得到系统的动力响应，提出了一种新型的车桥耦合动力分析方法。以一节四轴客车匀速通过32 m简支梁为例进行了实验研究，结果表明：本文方法得到的车桥耦合系统的动力响应结果与Newmark-β方法的结果接近，各极值点相对误差均不超过1％；在保证相同的计算精度前提下，本文方法将积分步长提高至原来的5～10倍，提高了求解速度。
위료축단구해차교우합계통동력향응적계산시간，이용진형분해법대차교우합계통적교량자계통화차량자계통해우，가정재매일시간보장내차교상호작용력선성변화，차조Duhamel적분해석해，통과질대득도계통적동력향응，제출료일충신형적차교우합동력분석방법。이일절사축객차균속통과32 m간지량위례진행료실험연구，결과표명：본문방법득도적차교우합계통적동력향응결과여Newmark-β방법적결과접근，각겁치점상대오차균불초과1％；재보증상동적계산정도전제하，본문방법장적분보장제고지원래적5～10배，제고료구해속도。
In order to shorten the computation time of solving the dynamic response of a coupled train-bridge system,the modal decomposition method is used to decompose the train subsystem and bridge subsystem in the coupled system. Assuming that the vehicle-bridge interaction forces change linearly within each time step,the dynamic response of the system during this period is obtained by Duhamel integral. Based on this theory,a new method is proposed to analyze the dynamic response of the coupled train-bridge system. The proposed method is then used to analyze a 4-axle train passing through a 32 m simply-supported beam at a constant speed. The results show that the dynamic responses obtained by the proposed method for the coupled train-bridge system are very close to those obtained by the Newmark-β method,and the relative error at every extreme points is less than 1%. Compared with the Newmark-β method,the proposed method can increase the time interval of integration by at least 5-10 times while ensuring the precision.