摘要
为了研究移动车辆作用下周期性高架桥的动力响应,将车桥作用力展开为傅里叶级数,利用单位简谐移动荷载作用下周期性高架桥的基本解,得到周期性高架桥在移动车辆作用下的动力响应表达式;对移动车辆进行动力学分析,得到移动车辆的动力方程;利用车桥作用力及车辆模型中弹簧恢复力的周期性,以及周期性高架桥的基本解,得到车桥作用力及弹簧恢复力各傅里叶系数所满足的车辆动力方程;利用周期性高架桥基本解的周期性,得到力的各傅里叶系数,从而确定周期性高架桥及车辆的动力响应。结果表明:当移动车辆质量较大时,车桥作用力出现负值;车辆以车桥共振速度运行时,周期性高架桥的剪力响应显著增大。
To study the dynamic response of periodic viaduct under the action of moving vehicle,vehicle-bridge forces were expanded into Fourier series.Dynamic response expressions of periodic viaduct under the action of moving vehicle were obtained by using the basic solution of periodic viaduct under the action of unit harmonic moving load.Through the dynamic analysis of moving vehicle,dynamic equations of moving vehicle were obtained.Vehicle dynamic equations satisfied by vehicle bridge forces and the periodicity of spring restoring forces in vehicle model were obtained by using the basic solution of periodic viaduct.By using the periodicity of basic solution of periodic viaduct,various Fourier coefficients of forces were obtained,so as to determine the dynamic response of periodic viaduct and vehicle.The results show that when the mass of moving vehicle is large,the vehicle-bridge forces are negative.When the vehicle runs at the resonance speed,the periodic viaduct response increases significantly.
作者
范胜帅
马丽
陆建飞
冯青松
FAN Shengshuai;MA Li;LU Jianfei;FENG Qingsong(Faculty of Civil Engineering and Mechanics,Jiangsu University,Zhenjiang 212013,Jiangsu,China;School of Mechanical and Electrical Engineering,Southeast University Chengxian College,Nanjing 210088,Jiangsu,China;School of Civil Engineering and Architecture,East China Jiaotong University,Nanchang 330013,Jiangxi,China)
出处
《济南大学学报（自然科学版）》
CAS
北大核心
2020年第6期554-561,共8页
Journal of University of Jinan(Science and Technology)
基金
国家自然科学基金项目(51878277)。
关键词
车桥耦合
动力响应
傅里叶变换
周期性高架桥
移动车辆
vehicle-bridge coupling
dynamic response
Fourier transform
periodic viaduct
moving vehicle
