Theoretical solution for flexural-torsional buckling load of fixed-end circular arches with biaxially-symmetric cross-sections

被引：0

作者：

Architecture Engineering College, Shanghai Normal University, Shanghai 200234, China ^{[1
]}

不详 ^{[2
]}

机构：

来源：

Gongcheng Lixue | 2008年 / 4卷 / 1-4+20期

关键词：

Elastic curved beams - Fixed end circular arches - Flexural torsional buckling load - Theoretical solution - Total potential energy;

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摘要：

Based on the total potential energy of elastic curved beams by considering the geometrical nonlinearity, the theoretic solution for the flexural-torsional buckling load of fixed-end circular arches subjected to uniform compression and bending is deduced with the Retz method, taking the effects of warping rigidity into account. Under the uniform radial load, flexural-torsional buckling load of fixed-end circular arches decreases as the subtended angle increases, which is different from simply supported arches. Besides, the critical load of fixed-end circular arches has the non-trival solution at the subtended angle of 180°. Either positive or negative bending moments, could lead the flexural-torsional buckling load of fixed-end circular arches to increase as the subtended angle increases. Numerical examples are presented and compared with other researcher's results. The equations obtained are verified.

引用

共 11 条

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MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2024, 52 (10) : 8273 - 8293

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