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(天津大學(xué)建筑工程學(xué)院, 天津 300072)
[摘要]拱結(jié)構(gòu)是一種主要承受軸向壓力并由兩端推力維持平衡的曲線或折線形結(jié)構(gòu),因具有造型優(yōu)美、剛度大和經(jīng)濟(jì)效益好等諸多優(yōu)勢被廣泛應(yīng)用于結(jié)構(gòu)工程領(lǐng)域。然而,拱結(jié)構(gòu)也有不足之處,其在外荷載作用下容易發(fā)生失穩(wěn)現(xiàn)象。為了改善拱結(jié)構(gòu)的穩(wěn)定性能,對剛性構(gòu)件補(bǔ)強(qiáng)下的拱結(jié)構(gòu)進(jìn)行了理論研究,提出了圓拱結(jié)構(gòu)在補(bǔ)強(qiáng)條件下的圓拱-彈簧模型,利用圓拱結(jié)構(gòu)在均布荷載下位移的廣義解推導(dǎo)出該模型在鉸接和剛接邊界條件的屈曲控制方程,并利用有限元的線性屈曲分析方法驗(yàn)證了本文中推導(dǎo)的屈曲控制方程的有效性。
[關(guān)鍵詞]拱結(jié)構(gòu); 剛性構(gòu)件; 屈曲控制方程; 面外穩(wěn)定性; 線性屈曲分析方法
中圖分類號:TU393-3, TU208-5, TU375-5文獻(xiàn)標(biāo)識碼:A文章編號:1002-848X(2020)23-0031-06
Theoretical research on the out-of-plane stability of arch structures reinforced by rigid components
CHEN Kun, CHEN Zhihua, LIU Jiadi
(School of Civil Engineering, Tianjin University, Tianjin 300072, China)
Abstract:The arch structure is a curved or folding structure that mainly bears axial pressure and is balanced by the thrust of both ends. It has been widely used in the field of structural engineering because of its advantages such as beautiful shape, high rigidity and good economic efficiency. However, the arch structure also has its deficiencies, it is easy to lose stability under external load. In order to improve the stability of arch structure, the arch structure reinforced by rigid components was theoretical researched, and circular arch-spring model under the reinforcement condition was proposed. In arch-spring model, the generalized solution of displacement of the circular arch structure under the uniform load was used to derive the buckling control equation of the model under the hinged and rigid boundary conditions. The finite element linear buckling analysis method was used to verify the effectiveness of bucking control equation.
Keywords:arch structure; rigid component; buckling control equation; out-of-plane stability; linear buckling analysis method
*國家自然基金項(xiàng)目(51478310)。
作者簡介:陳坤,博士,Email:shusandan@126.com; 通信作者:劉佳迪,博士,講師,Email:jdliu@tju.edu.cn。
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