Effects of Boundary Flexibility on the Vibration of a Continuum With a Moving Oscillator

[+] Author and Article Information
Yonghong Chen

Institute of Nonlinear Dynamics, Xi’an Jiaotong University, Xi’an 710049, People’s Republic of Chinae-mail: yhchen@me1.eng.wayne.edu

C. A. Tan

Department of Mechanical Engineering, Wayne State University, 5050 Anthony Wayne Drive, Detroit, MI 48202e-mail: tan@wayne.edu

L. A. Bergman

Department of Aeronautical and Astronautical Engineering, University of Illinois at Urbana-Champaign, 321E Talbot Lab, MC-236, 104 S. Wright Street, Urbana, IL 61801e-mail: lbergman@uiuc.edu

J. Vib. Acoust 124(4), 552-560 (Sep 20, 2002) (9 pages) doi:10.1115/1.1505029 History: Received September 01, 2001; Revised April 01, 2002; Online September 20, 2002
Copyright © 2002 by ASME
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Schematic of an oscillator traversing an elastically supported continuum
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The first eigenvalue of the elastically supported beam as a function of the support stiffness
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Evaluation of the shear force distribution by the improved series (24): (a) SS model with 3 (dotted), 6 (dashed), and 9 (solid) terms; (b) EE model (κ=10,000) with 6 (dotted), 9 (dot-dashed), 12 (dashed), and 20 (solid) terms
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Maximum response of the beam for different support stiffness
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Maximum dynamic force for different support stiffness, ko=15
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Maximum response of the beam for various oscillator frequencies, κ=160
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Maximum response of the beam as a function of the oscillator stiffness, ν=0.5
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Shear force distribution for an elastically supported beam
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Shear force at the mid-span of the simply supported beam
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Effects of boundary support stiffness on the shear force at the mid-span of the elastically supported beam: (a) κ=300, (b) κ=1,000, (c) κ=105
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Effects of damping on the shear force at the mid-span of the beam, ζ/ζcr=0.2066




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