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On applying the Laplace transform method to an equation describing an axially moving string

  1. S. Ponomareva,
  2. W. T. van Horssen*

Article first published online: 24 NOV 2004

DOI: 10.1002/pamm.200410035

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PAMM

PAMM

Volume 4, Issue 1, pages 107–108, December 2004

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How to Cite

Ponomareva, S. and van Horssen, W. T. (2004), On applying the Laplace transform method to an equation describing an axially moving string. Proc. Appl. Math. Mech., 4: 107–108. doi: 10.1002/pamm.200410035

Author Information

  1. Department of Applied Mathematical Analysis, Faculty of Information Technology and Systems, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands

*Phone: +31-15-2783524, Fax: +31-15-2787295

Publication History

  1. Issue published online: 24 NOV 2004
  2. Article first published online: 24 NOV 2004

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References

  • [1]
    G. A. Wickert and C. D. Mote, Jr., Classical Vibration Analysis of Axially Moving Continua, Journal of Applied Mechanics 57, 738-744 (1990).
  • [2]
    G. Suweken and W.T. van Horssen, On The Transversal Vibrations of A Conveyor Belt with A Low and Time-Varying Velocity, Part I: The String-Like Case Journal of Sound and Vibration 264, 117-133 (2003).
  • [3]
    H. R. Öz and M. Pakdemirli, Vibrations of An Axially Moving Beam with Time-Dependant Velocity, Journal of Sound and Vibration, 227 (2), 239-257 (1999).
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    M. Pakdemirli and A. G. Ulsoy, Stability Analysis of An Axially Accelerating String, Journal of Sound and Vibration, 203 (5), 815-832 (1997).
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    Li-Qun Chen, Jean W. Zu, Jun Wu and Xiao-Dong Yang, Transverse Vibrations of An Axially Accelerating Viscoelastic String with Geometric Nonlinearity, Journal of Engineering Mathematics, 48 (2), 117-182 (2004).
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    L. Meirovitch, A New Method of Solution of The Eigenvalue Problem for Gyroscopic Systems, AIAA Journal 12, 1337-1342 (1974).
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    L. Meirovitch, A Modal Analysis for the Response of Linear Gyroscopic Systems, ASME Journal of Applied Mechanics, 42 (2), 446-450(1975).
  • [8]
    R. Haberman, Applied Partial Differential Equations, 4th edition, (Pearson Prentice Hall, New Jersey, 2004).
  • [9]
    W. T. van Horssen, S. V. Ponomareva, On the construction of the solution of an equation describing an axially moving string, Journal of Sound and Vibration (submited for publication).
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