摘要
工程实际中许多结构可简化为端部带有集中质量的悬臂梁,笔者通过数值模拟软件建立了端部带有集中质量的悬臂梁有限元模型,并进行了模态分析.研究了端部集中质量的改变对悬臂梁固有频率的影响,同时建立带有I型裂纹的悬臂梁(端部带有集中质量与不带有集中质量两种)模型,改变裂纹的位置和深度,研究了裂纹深度和裂纹位置对悬臂梁的频率变化规律.通过对比发现,裂纹越靠近端部对梁的频率影响越小,集中质量对带有裂纹悬臂梁固有频率有一定的影响.
Many structures in the engineering,which can be simplified as cantilever beam with concentrated mass on its free end. The finite element model of the cantilever beam with concentrated mass on its free end is established,and the mode analysis of it is carried out in this paper. The effect on the natural frequency of the CBCM in the case of the mass change is studied. At the same time,a kind of cantilever beam model with I shaped crack is established. This kind of model includes two models： the free end of the beam with and without concentrated mass. Changing the position and depth of the crack,it can be found that the frequency of the beam is affected mostly by the crack depth. And the position of crack is closer to its free end of the beam,the influence of frequency of the beam is smaller. By comparison,it can be found that the lumped mass have a certain effect on the natural frequency of cracked cantilever beam. This research has certain guiding significance to optimization design、damage detection、maintenance of the cantilever beam with concentrated mass on its free end.
作者
闫安志
陶天增
张振华
YAN Anzhi TAO Tianzeng ZHANG Zhenhua(School of Civil Engineering, Henan Polytechnic University, Jiaozuo 454000, China Department of Mechanics, Dalian U- niversity of Technology, Dalian 116000, China)
出处
《郑州大学学报（工学版）》
CAS
北大核心
2016年第5期39-42,共4页
Journal of Zhengzhou University（Engineering Science）
基金
国家自然科学基金资助项目(51308195)
河南省科技厅科技攻关项目(132102210252)
关键词
悬臂梁
端部集中质量
转动惯量
裂纹
有限元
cantilever beam
concentrated mass
moment of inertia
crack
finite element method
