兰州理工大学学报

兰州理工大学学报 ›› 2020, Vol. 46 ›› Issue (4): 169-172.

• 数理科学 • 上一篇    

关于悬臂梁受重锤冲击时的动载荷系数分析

吴晓   

  1. 湖南文理学院 机械工程学院, 湖南 常德 415000
  • 出版日期:2020-08-28 发布日期:2020-11-10
  • 作者简介:吴 晓(1965-),男,湖南常德人,教授.
  • 基金资助:
    2017年湖南省普通高等学校教学改革研究立项(湘教通[2017]452号)

Dynamic load coefficient analysis of cantilever beam under the impact of heavy hammer

WU Xiao   

  1. College of Mechanical Engineering, Hunan University of Arts and Science, Changde 415000, China
  • Online:2020-08-28 Published:2020-11-10

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摘要： 研究了悬臂梁受重锤的冲击问题,建立了重锤的运动方程及悬臂梁的振动控制方程,并利用Galerkin原理求得重锤对悬臂梁的冲击力表达式.研究结果表明:重锤质量大于悬臂梁质量时,冲击力的近似解以及有限元解与实验结果之间的误差较大;重锤质量小于悬臂梁质量时,冲击力的近似解与有限元解与实验结果之间的误差小于5%.

关键词: 叠层梁, 重锤, 冲击, 动载荷系数, 有限元

Abstract: Impact phenomena of heavy hammer on cantilever beam are investigated. A motion equation for the hammer and a vibration control equation for the cantilever beam are both established therefore, and an impact force expression for the hammer acting on the cantilever beam is obtained by obeying the Galerkin principle. Obtained results point out that when mass of the hammer is grater than that of the cantilever, errors between the approximate solution of the impact force and experimental results, and those between the finite element approximation and the experimental results as well are obviously bigger without exception. When mass of the hammer is less than that of the cantilever, errors are less than 5% for above two cases.

Key words: laminated beam, heavy hammer, impact, dynamic load coefficient, finite element

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