引用本文: 赵永飞, 张军军, 鲁俊峰. 基于能量变分法的新型波形钢腹板箱梁横向内力研究. 力学与实践, 2024, 46(4): 1-8.
Zhao Yongfei, Zhang Junjun, Lu Junfeng. Research on lateral internal forces of a new type of corrugated steel web box beam based on energy variational method. Mechanics in Engineering, 2024, 46(4): 1-8.
 Citation: Zhao Yongfei, Zhang Junjun, Lu Junfeng. Research on lateral internal forces of a new type of corrugated steel web box beam based on energy variational method. Mechanics in Engineering, 2024, 46(4): 1-8.

RESEARCH ON LATERAL INTERNAL FORCES OF A NEW TYPE OF CORRUGATED STEEL WEB BOX BEAM BASED ON ENERGY VARIATIONAL METHOD

• 摘要: 基于能量变分法的基本原理，考虑箱梁畸变和波形钢腹板受力特性，建立以新型波形钢腹板箱梁桥面板剪力差T为未知量的控制微分方程，利用比拟的弹性地基梁法求出剪力差，得到新型波形钢腹板箱梁横向内力的能量变分法解。详细分析波形钢腹板倾角及波高变化对横向弯矩的影响规律。结果表明：按本文计算公式求解出的新型波形钢腹板箱梁横向内力解析解与ANSYS数值解能够很好地吻合，说明本文理论推导是准确可靠的；随着腹板倾角θ的增大，计算点A和载荷作用位置F处的横向弯矩急剧增大，离载荷作用位置较远的计算点B处的横向弯矩逐渐增大，当θ约为35°时，MA=MB；随着波形钢腹板波高dw的变高，角点A和角点B处的横向弯矩呈逐步增大的趋势，而载荷作用点F处的横向弯矩值则不断减小，且始终存在MF>MA>MB的关系。

Abstract: Based on the basic principle of the energy variational method, considering the distortion of the box girder and the stress characteristics of the corrugated steel web, a control differential equation is established with the unknown shear force difference T of the new corrugated steel web box girder bridge deck. The shear force difference is calculated using the comparable elastic foundation beam method, and the energy variational method solution of the transverse internal force of the new corrugated steel web box girder is obtained. It provides detailed analysis of the influence of the inclination angle and wave height changes of the corrugated steel web on the transverse bending moment. The results show that the analytical solution of the transverse internal force of the new type of corrugated steel web box girder solved according to the calculation formula in this article is in good agreement with the ANSYS numerical solution, indicating that the theoretical derivation in this article is accurate and reliable. With the increase of the inclination angle of the web plate θ, the load increases, the transverse bending moment at calculation point A and load application position F increases sharply, while the transverse bending moment at calculation point B, which is further away from the load application position. When gradually increases θ to approximately 35°, it has MA=MB. As the wave height dw of the corrugated steel web increases, the transverse bending moment at corner A and corner B gradually increases, while the transverse bending moment at load point F continuously decreases, and there is always a relationship of MF>MA>MB.

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