摘要
在给出的考虑几何非线性情况下的弹性曲梁总势能的基础上,采用里兹法导出了固支圆弧拱在均匀受压和均匀受弯作用下的弯扭屈曲荷载的理论解,推导中考虑了翘曲刚度的影响。固支圆弧拱在径向均布荷载作用下,屈曲荷载随着拱圆心角的增大而逐渐减小,和简支拱不同,当圆心角为180°时,屈曲荷载并不为零。在正弯矩或负弯矩作用下,固支圆弧拱的屈曲荷载都随着拱圆心角的增大而逐渐增大。该文给出了计算实例,并与其他研究者的结果进行了比较,证明了所得公式的正确性。
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.
出处
《工程力学》
EI
CSCD
北大核心
2008年第4期1-4,20,共5页
Engineering Mechanics
关键词
稳定
弯扭屈曲荷载
理论解
固支圆弧拱
总势能
stability
flexural-torsional buckling load
theoretical solution
fixed-end circular arches
total potential energy
