期刊论文

中文

公路交通科技

1002-0268

2015

32

12

81-87

10.3969/j.issn.1002-0268.2015.12.014

国家自然科学基金项目

本校为第一机构

研究了跨中在集中荷载作用下的两端采用不同径向、轴向弹性约束的圆弧拱的面内稳定性。利用拱结构的变形几何关系和能量变分原理推导了圆弧拱考虑外部集中力、弹性约束边界时的非线性平衡方程,建立了外荷载、结构内力、径向位移三者之间的对应关系,通过定义拱的深浅参数和约束刚度参数对屈曲过程中的荷载- 内力、荷载- 位移曲线进行了分析,通过屈曲分析进而得到圆弧拱发生失稳时的临界荷载。结果表明: 本文方法所得屈曲路径、屈曲荷载与有限元法所得结论吻合良好; 另一方面,对集中荷载作用下圆弧拱采用不同径向、轴向弹性约束刚度和结构的深浅程度等结构参数时的屈曲路径、临界荷载进行了分析,结...

The in-plane stabilities of circular arch with different elastic constraints at two ends in radial and axial directions of mid-span under concentrated load are investigated. The nonlinear equilibrium equation for the circular arch,which takes the external concentrated load and boundary elastic constraint into account,is derived by using the deformation geometrical relationship and energy variation principle of the circular arch.The corresponding relationship of the external load, the internal force and the radial displacement is established. By defining the shallowness and constraint stiffness...