期刊论文

Free vibration analysis of circular arches with discrete lateral translational braces

中文

铁道科学与工程学报

1672-7029

2024

21

1

275-285

10.19713/j.cnki.43-1423/u.T20230227

51078354:国家自然科学基金

本校为其他机构

拱通常采用离散侧向平移支撑增加其面外稳定性,而离散侧向平移支撑会产生振型耦合效应,显著影响拱的振动特性.为研究等间距离散侧向平移支撑对两铰圆弧拱自由振动的影响,通过假定拱的耦合振型,基于Hamilton原理求解离散侧向平移支撑圆弧拱的自振频率,并与有限元数值结果比较.同时,还探究了拱的面外长细比、圆心角以及侧向支撑的数量和位置对拱的临界刚度及最大基频的影响.研究结果表明:假定的耦合振型可以描述复杂的离散侧向平移支撑拱的弯扭振型,并能准确预测拱的自振频率和支撑临界刚度.侧向平移支撑拱的基频随支撑刚度的增加呈现多种增长模式,根据振型变化情况将其划分为第1类、过渡和第2类增...

Discrete lateral translational braces are commonly employed to enhance the out-of-plane stability of arches,while it will cause the coupling effect of the vibration modes,which significantly affects the vibration characteristics of arches.To investigate the effects of equally-spaced discrete lateral translational braces on the free vibration of two-hinged circular arches,the coupling vibration modes were assumed.Based on Hamilton's principle,the natural frequencies of the arches with lateral translational braces were carried out.Compared with the results from the finite element method,the anal...