Dynamics of a flexible cantilever beam carrying a moving mass

被引：50
|
作者：
Siddiqui, SAQ [1 ]
Golnaraghi, MF
Heppler, GR
机构：
[1] Univ Waterloo, Dept Mech Engn, Waterloo, ON N2L 3G1, Canada
[2] Univ Waterloo, Dept Syst Design Engn, Construct Grp, Waterloo, ON N2L 3G1, Canada
来源：
NONLINEAR DYNAMICS | 1998年 / 15卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
beam carrying a moving mass; internal resonance; kinematic nonlinearities;
D O I：
10.1023/A:1008205904691
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
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：18
相关论文
共 50 条
  • [1] Dynamics of a Flexible Cantilever Beam Carrying a Moving Mass
    Sultan A. Q. Siddiqui
    M. Farid Golnaraghi
    Glenn R. Heppler
    Nonlinear Dynamics, 1998, 15 : 137 - 154
  • [2] Dynamic Deflection of a Cantilever Beam Carrying Moving Mass
    Jena, Shakti P.
    Parhi, Dayal R.
    DYNAMICS OF MACHINES AND MECHANISMS, INDUSTRIAL RESEARCH, 2014, 592-594 : 1040 - 1044
  • [3] ON THE DYNAMIC BEHAVIOR OF A FLEXIBLE BEAM CARRYING A MOVING MASS
    KHALILY, F
    GOLNARAGHI, MF
    HEPPLER, GR
    NONLINEAR DYNAMICS, 1994, 5 (04) : 493 - 513
  • [4] Dynamics of an orbiting flexible beam with a moving mass
    Oguamanam, DCD
    Hansen, JS
    Heppler, GR
    AIAA JOURNAL, 2001, 39 (11) : 2225 - 2227
  • [5] Dynamics of a flexible beam carrying a moving mass using perturbation, numerical and time-frequency analysis techniques
    Siddiqui, SAQ
    Golnaraghi, MF
    Heppler, GR
    JOURNAL OF SOUND AND VIBRATION, 2000, 229 (05) : 1023 - 1055
  • [6] Control-Oriented Modeling and Analysis of a Flexible Beam Carrying a Moving Mass
    Ismail, Jawad
    Liu, Steven
    2019 18TH EUROPEAN CONTROL CONFERENCE (ECC), 2019, : 2406 - 2411
  • [7] DEFLECTIONS OF A BEAM CARRYING A MOVING MASS
    HUTTON, DV
    COUNTS, J
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1974, 41 (03): : 803 - 804
  • [8] DYNAMICS OF A CANTILEVER BEAM ATTACHED TO A MOVING BASE
    KANE, TR
    RYAN, RR
    BANERJEE, AK
    JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1987, 10 (02) : 139 - 151
  • [9] Parameter identification of a flexible cantilever beam with a moving hub
    Nguyen Tri Giang Vu
    Quoc Chi Nguyen
    Van Thuat Nguyen
    2020 20TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS), 2020, : 833 - 838
  • [10] Unified frequency equation and the motion analysis of a moving flexible beam carrying a concentrated mass
    Park, S.
    Lee, J.W.
    Youm, Y.
    Chung, W.K.
    American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC, 1999, 67 : 569 - 576
12345