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TECHNICAL PAPERS

Vibro-Impact Dynamics of a Periodically Forced Beam

[+] Author and Article Information
Jakob Knudsen

Malmö University, SE 205 06 Malmö, Sweden

Ali R. Massih

Luleå University of Technology, SE 971 87 Luleå, SwedenABB Atom AB, SE 721 63 Västerås, Sweden

J. Pressure Vessel Technol 122(2), 210-221 (Jan 27, 2000) (12 pages) doi:10.1115/1.556175 History: Received June 14, 1999; Revised January 27, 2000
Copyright © 2000 by ASME
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References

Figures

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Contact point geometry and definitions
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Sketch of the cantilever beam with loose supports at one end subject to a time-varying force
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Schematic view of the rod-support cell system, showing also the deformed support cell with gaps
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FE representation of portion of beam crossing the support cell, where S identifies a soft spring and B1 and B2 identify the arches
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Vibro-impact dynamic behavior of a loosely supported rod under harmonic excitations with a clearance of 0.25 mm and 0.20 mm in x and y directions, respectively. The driving frequency is 20 Hz. Computations utilize the simple contact algorithm, neglecting friction. (a) Impact force in x direction; (b) force in y direction; (c) Lissajous plots for displacements; (d) phase plane trajectories. The solid line shows measured values while the broken line indicates calculated values.
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Vibro-impact dynamic behavior of a loosely supported rod under harmonic excitations with full Coulomb friction contact algorithm, with μ=0.27. Other input parameters are described in the caption of Fig. 5. (a) Impact force in x direction; (b) force in y direction; (c) Lissajous plots for displacements; (d) phase plane trajectories. The solid line shows measured values while the broken line shows calculated values.
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WWR versus friction coefficient μ. Other input parameters are described in the caption of Fig. 5.
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WWR versus gap size in y direction 2gy with a friction coefficient of μ=0.27 and a clearance in the x direction of 0.25 mm. The forcing frequency is 20 Hz.
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Extreme deflections versus gap size in the y direction. See caption of Fig. 8 for a description of other input parameters. Solid and broken lines denote measurements at 0.492±0.05 m from the supported end, respectively.
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WWR versus the support stiffness proportionality coefficient α. The clearances are set to 0.25 and 0.20 mm for the x and y directions, respectively. The forcing frequency is 20 Hz.
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Single-degree-of-freedom oscillator with two-sided constraints subjected to a harmonic load
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Nondimensional contact velocities of the single-degree-of-freedom harmonic forced two-sided impact oscillator versus frequencies ω∊{1,2,[[ellipsis]]10}
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Nondimensional contact velocity of the simplified cantilever beam with constrained two-sided open supports subjected to harmonic excitation in the nondimensional frequency range ω∊[1,10]
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Nondimensional time evolution of contact velocity for an applied frequency of ω=10, other input parameters are described in Section 5. The symbol ‘−’ stands for the SDOF oscillator, and ‘+’ for the beam.

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