简支矩形薄壁箱梁受不确定移动偏载作用的竖向振动响应研究  

Study on vertical vibration response of simply supported rectangularthin-walled box girder subjected to uncertain moving eccentric load

作　　者：黄文建 刘放[1] 杨明发 李晨晖 邓蓉 HUANG Wen-jian;LIU Fang;YANG Ming-fa;LI Chen-hui;DENG Rong(School of Mechanical Engineering,Southwest Jiaotong University,Chengdu 610031,China)

机构地区：[1]西南交通大学机械工程学院,成都610031

出　　处：《计算力学学报》2024年第4期769-774,共6页Chinese Journal of Computational Mechanics

摘　　要：针对工程中薄壁箱梁受不确定移动偏载作用的振动问题,给出了一种基于区间过程的求解简支矩形薄壁箱梁结构竖向振动响应边界的方法.基于修正Timoshenko梁理论、乌氏第二理论和箱梁畸变理论,求得了移动偏载作用下考虑截面扭转和畸变的简支矩形薄壁箱梁受迫竖向振动解析解,通过引入区间过程描述移动偏载的不确定性,推导了简支矩形箱梁竖向振动响应边界的计算过程,分析了不确定性参数的相关性和荷载速度对简支矩形薄壁箱梁竖向振动响应的影响,与有限元计算结果对比验证了本文方法的正确性.Aiming at solving the vibration problem of a thin-walled box girder subjected to an uncertain moving eccentric load in engineering,a method based on interval process is proposed to determine the vertical vibration response boundary of a simply supported rectangular thin-walled box girder structure.Based on the modified Timoshenko beam theory, Umanskii’s second theory and box girder deformation theory,the analytical solution of the forced vertical vibration of a simply supported rectangular thin-walled box girder considering section torsion and distortion under a moving eccentric load is obtained.The calculation process of vertical vibration response boundary of simply supported rectangular box girder is derived by introducing interval process to describe the uncertainty of moving eccentric load,and the influence of the correlation of uncertain parameters and load speed on the vertical vibration response of the simply supported rectangular thin-walled box girder is analyzed.The correctness of the method in this paper is verified by comparison with the calculation results of the finite element method.

关 键 词：简支矩形薄壁箱梁 移动偏载 区间过程 竖向振动 动态响应边界 

分 类 号：O327[理学—一般力学与力学基础] TH113.1[理学—力学]