冲击荷载作用下弹性压杆的动力稳定分析  

Dynamic stability analysis of elastic compressive bar under shock loading

作　　者：孙建鹏[1] 谭天宇[1] 黄文锋[2] SUN Jianpeng;TAN Tianyu;HUANG Wenfeng(School of Civil Engineering, Xi′an University of Architecture and Technology, Xi′an 710055, China;School of Civil Engineering, Hefei University of Technology, Hefei 230009, China)

机构地区：[1]西安建筑科技大学土木工程学院,陕西西安710055 [2]合肥工业大学水利与土木工程学院,安徽合肥230009

出　　处：《西安建筑科技大学学报（自然科学版）》2016年第4期505-509,共5页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

基　　金：国家自然科学基金项目(51408453);高等学校博士学科点专项科研基金项目(20136120120022);陕西省自然科学基础研究计划基金项目(2016JQ5075);陕西省重点学科建设专项资金资助项目(E01004)

摘　　要：动力稳定性是细长杆件的一种重要性能,结合精细传递矩阵理论,建立了在轴向冲击荷载作用下受压杆件动力稳定分析的精细传递矩阵式,并对冲击荷载的参数进行了分析,研究其对受压杆件动力稳定性能的影响.算例表明:受压杆件的动力稳定性可以通过结构的位移响应曲线是否存在反规律现象来确定.算例还表明结构的动力稳定性不仅与冲击荷载的幅值有关,还有荷载的振动频率有关;荷载频率与结构自振频率之间的差异影响着受压杆件动力稳定承载力的大小.Dynamic stability is an important property of slender bars. In this paper, a transfer matrix is developed for dynamicstability analysis of slender bars subjected to axial impact loading based on the theory of precise transfer matrix method, and theparameters of impact loading are analyzed, and the effect on the properties of dynamic stability of compression bar is studied.Examples showed that it can determine whether or not the dynamic instability of compression bar has happened by the displacementresponse curves there is against the law phenomenon, and the dynamic stability of compression bar is not only associated with theamplitude of shock load, but also with the vibration frequency of the load. The differences between the natural frequency of loadingand the vibration frequency of structures have some effects on the size of bearing capacity of dynamic stability of compressive bar.

关 键 词：精细传递矩阵法 受压杆件 动力稳定 迭代算法 位移时程曲线 

分 类 号：TU311.2[建筑科学—结构工程]