压杆失稳引起的振动分析  

Analysis on Vibration Caused by Buckling of Pressure Bar

作　　者：尚仁杰[1] Shang Renjie(Central Research Institute of Building and Construction Co.Ltd.MCC Group,Beijing 100088,China)

机构地区：[1]中冶建筑研究总院有限公司,北京100088

出　　处：《特种结构》2020年第2期68-72,共5页Special Structures

摘　　要：理想轴心受压杆件的受压过程会经历从稳定直线平衡态到不稳定直线平衡态的过渡,在不稳定平衡态,微小扰动会引起压杆侧向失稳,失稳伴随着突然的侧向变形和强烈的侧向振动。本文推导了侧向振动的微分方程,通过振动微分方程可以求解出临界荷载Fcr。通过算例给出了不同压力下失稳振动的相图和振动位移-时间曲线。本文的分析为从动力学角度认识失稳及失稳引起的强烈振动提供参考。The process from stable linear equilibrium to unstable linear equilibrium would be experienced when the ideal axial compression bar is compressed.Small perturbation would cause lateral b uckling when the bar is in the state of unstable linear equilibrium,and suddenly deforming and lateral vibration would be happen.The differential equation of lateral vibration was deduced in the paper,and the critical load Fcr be obtained by solving the vibration differential equation.The phases diagram of buckling under different pressure and the displacement-time curves were obtained through an example.The paper would be referencd for engineers to understand the unstable and buckling vibration from the point of dynamics.

关 键 词：压杆稳定 振动 失稳 微分方程 相图 

分 类 号：TU311.3[建筑科学—结构工程]