Transient Dynamics of an Axially Moving Beam Subject to Continuously Distributed Moving Mass

被引:11
作者
Song, Jie [1 ]
Xian, Sujie [1 ]
Hua, Hongliang [1 ]
Wu, Zhilin [1 ]
Liu, Kun [1 ]
机构
[1] Nanjing Univ Sci & Technol, Sch Mech Engn, Nanjing 210094, Peoples R China
基金
中国国家自然科学基金;
关键词
Axially moving beam; Continuously distributed moving mass; Coupling dynamics; Energy separation phenomenon; TRANSVERSAL VIBRATIONS; NONLINEAR VIBRATIONS; VISCOELASTIC BEAM; CANTILEVER BEAM; STABILITY;
D O I
10.1007/s42417-022-00748-w
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Purpose In this paper, the transverse vibrations of an axially moving cantilever beam subject to a continuously distributed moving mass are studied numerically. Methods An elastic coupling coefficient is introduced to describe the actual elastic coupling effect between the beam and moving mass. The motion equations of the system are derived by Lagrange's equation and Galerkin method. The Newmarkbeta direct time integrating method is adopted to analyze the dynamic responses. Results and Conclusion The motion equations are verified by comparing the dynamic responses with previous literature. An interesting energy separation phenomenon is observed when the moving mass separates from the beam. The effects of moving mass parameters (moving mass velocity, length, and elastic coupling coefficient) on beam dynamics and the energy separation phenomenon are discussed. It has been observed that the elastic coupling effect between the beam and moving mass has a significant effect on beam dynamics.
引用
收藏
页码:3281 / 3292
页数:12
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