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| 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 rectangular thin-walled box girder subjected to uncertain moving eccentric load |
| 投稿时间：2023-01-05 修订日期：2023-01-28 |
| DOI： |
| 中文关键词: 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 |
| 英文关键词:simply supported rectangular thin-walled box girder moving eccentric load interval process vertical vibration dynamic response boundary |
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| 中文摘要: |
| 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。结果表明：不确定性参数的时间相关性越弱，挠度响应区间宽度越小；不确定性参数时间相关性不影响挠度响应边界的时间历程曲线形状；荷载的移动速度越大，箱梁振动的频率越低，跨中挠度振动响应的幅值越大，且最大挠度响应发生在荷载位于跨中的前后。 |
| 英文摘要: |
| Aiming at the vibration problem of thin-walled box girder subjected to uncertain moving eccentric load in engineering, a method based on interval process is proposed to solve the vertical vibration response boundary of 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 forced vertical vibration of simply supported rectangular thin-walled box girder considering section torsion and distortion under moving eccentric load is obtained. The calculation process of vertical vibration response boundary of simply supported rectangular box girder is deduced 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 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 finite element. The results show that the weaker the time correlation of the uncertain parameters is, the smaller the width of the deflection response interval is. The time correlation of the uncertain parameters does not affect the shape of the time history curve of the deflection response boundary. The greater the moving speed of the load is, the lower the vibration frequency of the box girder is, the larger the amplitude of the mid-span deflection vibration response is, and the maximum deflection response occurs before or after the load is located in the middle of the span. |
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