端部质量对有无损伤悬臂梁的模态影响分析-《郑州大学学报(工学版)》

文章信息/Info

Title:: The mode analysis of the cantilever beam with concentrated mass on its free end in the case of with and without damage

Author(s):: Yan Anzhi1; Tao Tianzeng2; Zhang Zhenhua1; 1. School of Civil Engineering, Henan University of Technology, Jiaozuo, Henan, 454000; 2. Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning, 116000

Keywords:: cantilever beam; concentrated mass; moment of inertia; crack; finite element method

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粱的频率变化规律.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.

Abstract:: Many structures in engineering practice can be simplified as a cantilever beam with concentrated mass at the end. The author established the finite element model of the cantilever beam with concentrated mass at the end by numerical simulation software, and carried out modal analysis. The concentrated mass at the end was studied. The effect of mass change on the natural frequency of the cantilever beam was established, and the model of the cantilever beam with I-type cracks (with lumped mass at the end and without lumped mass at the end) was established, and the position and depth of the crack were changed to study the crack depth. and the crack position on the frequency variation of the cantilever beam. Through comparison, it is found that the closer the crack is to the end, the smaller the impact on the beam frequency, and the concentrated mass has a certain influence on the natural frequency of the cracked cantilever beam.