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本文通过对平面曲线波纹板整体剪切屈曲方程进行过程推导,为实际桥梁结构波纹腹板设计提供了理论参考。基于正交各向异性材料开口圆柱壳,通过物理机制上不同于各向同性壳的等效正交异性模型特性、具有面内薄膜力的平衡方程以及考虑大挠度变形的几何方程,并略去控制微分方程的非线性项,给出了平面曲线波纹板整体剪切屈曲方程的全过程。考虑了曲率的影响,使得稳定性计算比平面直线波纹板更显著,并用经典方程验证了屈曲方程的合理性。由于波纹板屈曲性能决定了其结构设计,因此本研究过程对桥梁结构应用平面曲线波纹板及其设计具有一定的理论指导意义。
In this paper, the process of integral buckling buckling of corrugated plate with plane curve is deduced, which provides theoretical reference for the design of corrugated web of actual bridge structure. Based on the properties of the equivalent orthotropic model which is different in physical mechanism from the isotropic shell, the equilibrium equation with in-plane membrane force and the geometric equation considering the large deflection, based on the open cylindrical shell of orthotropic material, By controlling the nonlinear term of the differential equation, the whole process of the whole buckling buckling of corrugated plate in plane curve is given. Considering the effect of curvature, the stability calculation is more significant than the plane straight corrugated plate. The classical equation is used to verify the rationality of buckling equation. Because of the buckling performance of the corrugated board, the structural design of the corrugated board is determined. Therefore, the research process has certain theoretical significance for the application of the planar curved corrugated board to the bridge structure and its design.