Dynamics of a Flexible Cantilever Beam Carrying a Moving Mass

被引：0
作者：
Sultan A. Q. Siddiqui
M. Farid Golnaraghi
Glenn R. Heppler
机构：
[1] University of Waterloo,Department of Mechanical Engineering
来源：
Nonlinear Dynamics | 1998年 / 15卷
关键词：
Beam carrying a moving mass; internal resonance; kinematic nonlinearities;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The motion of a flexible cantilever beam carrying a moving spring-mass system is investigated. The beam is assumed to be an Euler–Bernouli beam. The motion of the system is described by a set of two nonlinear coupled partial differential equations where the coupling terms have to be evaluated at the position of the mass. The nonlinearities arise due to the coupling between the mass and the beam. Due to the nonlinearities the system exhibits internal resonance which is investigated in this work. The equations of motion are solved numerically using the Rayleigh–Ritz method and an automatic ODE solver. An approximate solution using the perturbation method of multiple scales is also obtained.
引用
收藏
页码：137 / 154
页数：17
相关论文
共 50 条
[31]   Two-frequency parametric excitation and internal resonance of a moving viscoelastic beam [J].
Sahoo, Bamadev ;
Panda, L. N. ;
Pohit, Goutam .
NONLINEAR DYNAMICS, 2015, 82 (04) :1721-1742
[32]   Two-frequency parametric excitation and internal resonance of a moving viscoelastic beam [J].
Bamadev Sahoo ;
L. N. Panda ;
Goutam Pohit .
Nonlinear Dynamics, 2015, 82 :1721-1742
[33]   Internal resonance and nonlinear response of an axially moving beam: two numerical techniques [J].
Ghayesh, Mergen H. ;
Amabili, Marco .
COUPLED SYSTEMS MECHANICS, 2012, 1 (03) :235-245
[34]   Forced vibration of an axially moving free-free beam with internal resonance [J].
Wu, Yanhong ;
Han, Guangcai ;
Hou, Gangling ;
Yue, Zhihua .
JOURNAL OF VIBRATION AND CONTROL, 2024,
[35]   Forced vibration control of an axially moving beam with an attached nonlinear energy sink [J].
Zhang, Ye-Wei ;
Hou, Shuai ;
Xu, Ke-Fan ;
Yang, Tian-Zhi ;
Chen, Li-Qun .
ACTA MECHANICA SOLIDA SINICA, 2017, 30 (06) :674-682
[36]   Nonlinear dynamics of composite laminated cantilever rectangular plate subject to third-order piston aerodynamics [J].
M. H. Zhao ;
W. Zhang .
Acta Mechanica, 2014, 225 :1985-2004
[37]   Investigating the multiple scales method based on a new scaling for energy harvesting from a double cantilever beam with internal resonance [J].
Reza Eshtehardiha ;
Reza Tikani ;
Saeed Ziaei-Rad .
Meccanica, 2022, 57 :1281-1306
[38]   Investigating the multiple scales method based on a new scaling for energy harvesting from a double cantilever beam with internal resonance [J].
Eshtehardiha, Reza ;
Tikani, Reza ;
Ziaei-Rad, Saeed .
MECCANICA, 2022, 57 (06) :1281-1306
[39]   Coupled thermoelastic nonlocal forced vibration of an axially moving micro/nano-beam [J].
Zhao, X. ;
Wang, C. F. ;
Zhu, W. D. ;
Li, Y. H. ;
Wan, X. S. .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2021, 206
[40]   Single-mode response and control of a hinged-hinged flexible beam [J].
Hegazy, U. H. .
ARCHIVE OF APPLIED MECHANICS, 2009, 79 (04) :335-345
12345