波形扰动静水压力对两侧铰支圆拱平面内稳定性的影响  

Influence of Fluctuating Hydrostatic Pressure on In-Plane Stability of Simply Supported Circular Arches

作　　者：邓长根[1] 杨辉[1] 

机构地区：[1]同济大学土木工程学院,上海200092

出　　处：《建筑钢结构进展》2009年第6期40-45,共6页Progress in Steel Building Structures

基　　金：国家自然科学基金资助项目(50478107)

摘　　要：本文针对余弦波形扰动静水压力作用下两侧铰支圆拱平面内稳定性问题,采用傅立叶级数逼近圆拱屈曲微分方程的解,分别求得了两侧不动铰支圆拱反对称屈曲时、一侧不动铰支另一侧法向滑动铰支圆拱对称屈曲时的临界荷载系数,并给出了其高精度拟合公式,结果表明波形扰动荷载参数会引起临界荷载系数的显著降低,最大降幅可分别达到-33.99%和-49.70%。The in-plane stability of simply supported circular arches subjected to fluctuating hydrostatic pressure is studied. Fourier series are used to approximate the solutions of the buckling differential equation. Critical load factors are calculated for anti-symmetrical buckling of arches simply supported on two fixed hinges and symmetrical buckling of arches simply supported on a fixed hinge and another normally movable hinge, respectively, and their formulas with high precision are also obtained by data fitting. It is found that fluctuating hydrostatic pressure may sharply reduce the critical load factors, and the maximum reduction may reach -33.99 %, 49.70 %, respectively.

关 键 词：圆拱 临界荷载系数 静水压力 波动荷载 傅立叶级数 

分 类 号：TU311.2[建筑科学—结构工程]