圆拱结构面内屈曲经典理论与非线性理论对比

发布时间：2018-05-20 01:19

本文选题：圆形拱结构 + 经典屈曲理论　；参考：《建筑结构》2017年S1期

【摘要】：对圆拱结构面内经典屈曲理论与浅拱非线性屈曲理论进行了对比分析,基于结构力学理论及数学理论推导,通过MATLAB软件数值计算分析,认为对于双铰圆拱结构,当其半中心角(°)较小时(α27+160.T/R)时,经典屈曲理论则明显高估其面内屈曲的临界荷载,此时采用浅拱非线性屈曲理论则更安全可靠;同样对于当固端圆拱结构,当其半中心角(°)较小时(α32.5+365.T/R)时,经典屈曲理论则同样会高估其面内屈曲的临界荷载,此时建议采用浅拱非线性屈曲理论。另外分析了尺寸效应对圆拱结构屈曲临界荷载的敏感性影响,认为双铰圆拱结构当跨距大于50m时,尺寸效应对其临界屈曲荷载的影响一般小于4.5%;而固端圆拱结构在跨距大于30m情况下,尺寸效应对其临界屈曲荷载的影响小于3.5%。
[Abstract]:The classical buckling theory of circular arch structure and the nonlinear buckling theory of shallow arch are compared and analyzed. Based on the derivation of structural mechanics theory and mathematical theory, and through the numerical calculation and analysis of MATLAB software, it is considered that the double-hinged circular arch structure is considered as a double-hinged circular arch structure. When the semi-central angle (伪 27160.T / R) is small, the classical buckling theory obviously overestimates the critical load of in-plane buckling, and the nonlinear buckling theory of shallow arch is more safe and reliable. When the semi-central angle (掳) is small (伪 32.5 365.T / R), the classical buckling theory also overestimates the critical load of in-plane buckling. In this case, the nonlinear buckling theory of shallow arch is suggested. In addition, the sensitivity of the size effect to the critical buckling load of circular arch structure is analyzed. It is considered that the double hinged circular arch structure has a span of more than 50 m. The effect of size effect on critical buckling load is generally less than 4.5, while the effect of size effect on critical buckling load is less than 3.5 when the span of fixed end circular arch is more than 30 m.
【作者单位】：浙江省水利水电勘测设计院;
【基金】：浙江省水利水电勘测设计院科标业项目资助(B1608,B1609)
【分类号】：TV31

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