Nonlinear vibration analysis of a Timoshenko beam with concentrated mass using variational iteration method
作者: K. TorabiD. SharifiM. Ghassabi
作者单位: 1University of Isfahan
2University of Kashan
3Iran University of Science and Technology
刊名: Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2017, Vol.39 (12), pp.4887-4894
来源数据库: Springer Journal
DOI: 10.1007/s40430-017-0854-1
关键词: Variational iteration methodNonlinear transverse vibrationTimoshenko beamConcentrated mass
英文摘要: Complicated structures used in a wide variety of engineering fields consist of simple structural elements like beams which in some cases include one discontinuity such as a crack or mass and are more likely to vibrate with larger amplitude. In this article, considering shear deformation and rotatory inertia, transverse vibration of nonlinear Timoshenko beam carrying a concentrated mass oscillating with large amplitude is investigated using VIM. This method is a very powerful method with suitable convergence speed in which by choosing the proper Lagrange’s multiplier and Initial Function, the convergence speed could increase even more. This method would be able to present analytical solutions for linear equations and semi-analytical solutions for non-linear ones. One of the greatest...
原始语种摘要: Complicated structures used in a wide variety of engineering fields consist of simple structural elements like beams which in some cases include one discontinuity such as a crack or mass and are more likely to vibrate with larger amplitude. In this article, considering shear deformation and rotatory inertia, transverse vibration of nonlinear Timoshenko beam carrying a concentrated mass oscillating with large amplitude is investigated using VIM. This method is a very powerful method with suitable convergence speed in which by choosing the proper Lagrange’s multiplier and Initial Function, the convergence speed could increase even more. This method would be able to present analytical solutions for linear equations and semi-analytical solutions for non-linear ones. One of the greatest...
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关键词翻译
关键词翻译
  • concentrated 集中的
  • variational 变化的
  • iteration 迭代
  • suitable 合适的
  • vibration 振荡
  • convergence 汇合
  • method 方法
  • studied 学习
  • multiplier 乘法器乘数
  • analytical 分析的