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

DOI：10.7511/jslx20230105002

 作者 单位 E-mail 黄文建 西南交通大学 机械工程学院, 成都 610031 刘放 西南交通大学 机械工程学院, 成都 610031 liufang@swjtu.edu.cn 杨明发 西南交通大学 机械工程学院, 成都 610031 李晨晖 西南交通大学 机械工程学院, 成都 610031 邓蓉 西南交通大学 机械工程学院, 成都 610031

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.