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Article

Modeling and Experimental Methods for Dynamic Analysis of the Spaghetti Problem

[+] Author and Article Information
Hiroyuki Sugiyama

Department of Mechanical Engineering, University of Illinois at Chicago, 842 W Taylor Street, Chicago, Illinois 60607

Nobuyuki Kobayashi

Department of Mechanical Engineering, Aoyama Gakuin University, 5-10-1, Fuchinobe, Sagamihara, Kanagawa, 2298558, Japan

Yoshimasa Komaki

Mechanical Systems Center, Mitsubishi Electric Engineering Co. Ltd., 730 Kamimachiya, Kamakura, Kanagawa 2470065, Japan

J. Vib. Acoust 127(1), 44-51 (Mar 21, 2005) (8 pages) doi:10.1115/1.1857919 History: Received February 24, 2003; Revised January 13, 2004; Online March 21, 2005
Copyright © 2005 by ASME
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References

Carrier,  G. F., 1949, “The Spaghetti Problem,” Am. Math. Monthly, 56, pp. 669–672.
Tabarrok,  B., Leech,  C. M., and Kim,  Y. I., 1974, “On the Dynamics of an Axially Moving Beam,” J. Franklin Inst., 297, pp. 201–220.
Mansfield,  L., and Simmond,  J. G., 1987, “The Reverse Spaghetti Problem: Drooping Motion of an Elastica Issuing From a Horizontal Guide,” ASME J. Appl. Mech., 54, pp. 147–150.
Stolte,  J., and Benson,  R. C., 1992, “Dynamic Deflection of Paper Emerging From a Channel,” ASME J. Vibr. Acoust., 114, pp. 187–193.
Cherchas,  D. B., 1971, “Dynamics of Spin-Stabilized Satellites During Extension of Long Flexible Booms,” J. Spacecr. Rockets, 8, pp. 802–804.
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Vu-Quoc,  L., and Li,  S., 1995, “Dynamics of Sliding Geometrically-Exact Beams: Large Angle Maneuver and Parametric Resonance,” Comput. Methods Appl. Mech. Eng., 120, pp. 65–118.
Behdinan,  K., Stylianou,  M., and Tabarrok,  B., 1997, “Dynamics of Flexible Sliding Beams-Non-Linear Analysis Part I: Formulation,” J. Sound Vib., 208, pp. 517–539.
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Yuh,  J., and Young,  T., 1991, “Dynamic Modeling of an Axially Moving Beam in Rotation: Simulation and Experiment,” ASME J. Dyn. Syst., Meas., Control, 113, pp. 34–40.
Huston, R. L., 1990, Multibody Dynamics, Butterworth-Heinemann.
Shabana, A. A., 2001, Computational Dynamics, 2nd, Wiley, New York.
Khulief,  Y. A., and Shabana,  A. A., 1987, “A Continuous Force Model for the Impact Analysis of Flexible Multibody Systems,” Mech. Mach. Theory, 22, pp. 213–224.
Wehage,  R. A., and Haug,  E. J., 1982, “Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamic Systems,” ASME J. Mech. Des., 104, pp. 247–255.

Figures

Grahic Jump Location
Modeling of the spaghetti problem with clearance
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Contact and friction forces
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Deformed shapes of beam in the spaghetti problem
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Transverse tip displacement
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Transverse tip acceleration
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Effect of the number of discretized bodies
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Comparison between numerical and experimental results
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Deformed shapes of FRP beam
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Effect of transport velocities (experiment)
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Effect of clearances (experiment)
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Total energy stored in beam

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