平面曲线波纹板整体剪切屈曲理论与桥梁应用  

Theoretical Formula Derivation of Global Shear Buckling of Plane Curved Corrugated Plate and Its Application to Bridge Design

作　　者：王康建[1] 

机构地区：[1]东南大学土木工程学院,南京210096

出　　处：《特种结构》2017年第3期94-98,共5页Special Structures

摘　　要：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。To provide theoretical reference for the design of bridge structures with corrugated webs, this paper presented the theoretical formula derivation of global shear buckling of curved corrugated plate. The derivation was based on the characteristics of equivalent orthotropic open cylindrical shells which are different from isotropic shells from point view of physical mechanism. Considering the in-plane thin-film force equilibrium equations and geometric equations under large deformation, and omitting the nonlinear items in the governing differential equations, the global shear buckling equations of plane curved corrugated plate was obtained. Due to the effect of curvature, stability calculation of plane curved corrugated plate is more important than that of plane straight corrugated plate. This buckling equation was also verified by the classical equation. Since the structural design is dependent on its buckling performance, this study provides theoretical reference for the bridge structure design and application of plane curved corrugated plate.

关 键 词：平面曲线 波纹板 整体剪切屈曲 等效模型特性 

分 类 号：U441[建筑科学—桥梁与隧道工程]