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
Your Session has timed out. Please sign back in to continue.


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.
Banerjee,  A. K., and Kane,  T. R., 1989, “Extrusion of a Beam From a Rotating Base,” AIAA J. Guidance, Control, Dynamics,12, pp. 140–146.
Stylianou,  M., and Tabarrok,  B., 1994, “Finite Element Analysis of an Axially Moving Beam, Part I: Time Integration,” J. Sound Vib., 178, pp. 433–453.
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.
Zhu,  W. D., and Ni,  J., 2000, “Energetics and Stability of Translating Media With an Arbitrarily Varying Length,” ASME J. Vibr. Acoust., 122, pp. 295–304.
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.


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




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In