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A non-linear Eigenvalue problem associated with inextensible whirling strings

Research output: Contribution to journalJournal articlepeer-review

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A non-linear Eigenvalue problem associated with inextensible whirling strings. / Coomer, J.; Lazarus, Max; Tucker, Robin; Kershaw, D.; Tegman, A.

In: Journal of Sound and Vibration, Vol. 239, No. 5, 01.02.2001, p. 969-982.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Coomer, J, Lazarus, M, Tucker, R, Kershaw, D & Tegman, A 2001, 'A non-linear Eigenvalue problem associated with inextensible whirling strings', Journal of Sound and Vibration, vol. 239, no. 5, pp. 969-982. https://doi.org/10.1006/jsvi.2000.3190

APA

Coomer, J., Lazarus, M., Tucker, R., Kershaw, D., & Tegman, A. (2001). A non-linear Eigenvalue problem associated with inextensible whirling strings. Journal of Sound and Vibration, 239(5), 969-982. https://doi.org/10.1006/jsvi.2000.3190

Vancouver

Coomer J, Lazarus M, Tucker R, Kershaw D, Tegman A. A non-linear Eigenvalue problem associated with inextensible whirling strings. Journal of Sound and Vibration. 2001 Feb 1;239(5):969-982. https://doi.org/10.1006/jsvi.2000.3190

Author

Coomer, J. ; Lazarus, Max ; Tucker, Robin ; Kershaw, D. ; Tegman, A. / A non-linear Eigenvalue problem associated with inextensible whirling strings. In: Journal of Sound and Vibration. 2001 ; Vol. 239, No. 5. pp. 969-982.

Bibtex

@article{05e3dee99d0342ccbadb165af6e066a3,
title = "A non-linear Eigenvalue problem associated with inextensible whirling strings",
abstract = "The motion of idealized inextensible strings is discussed. The equations of motion are analyzed for closed-loop configurations, free of body forces and open hanging strings whirling under gravity. The latter give rise to an interesting non-linear eigenvalue problem describing a spectrum of whirling modes that is amenable to numerical investigation by using the shooting method for two-point boundary value problems. The spectrum is compared with that for small amplitude excitations in both fixed and rotating vertical plane through the suspension point. The results provide a useful theoretical background for an analysis of a laboratory exploration of whirling chains.",
author = "J. Coomer and Max Lazarus and Robin Tucker and D. Kershaw and A. Tegman",
year = "2001",
month = feb,
day = "1",
doi = "10.1006/jsvi.2000.3190",
language = "English",
volume = "239",
pages = "969--982",
journal = "Journal of Sound and Vibration",
issn = "0022-460X",
publisher = "Academic Press Inc.",
number = "5",

}

RIS

TY - JOUR

T1 - A non-linear Eigenvalue problem associated with inextensible whirling strings

AU - Coomer, J.

AU - Lazarus, Max

AU - Tucker, Robin

AU - Kershaw, D.

AU - Tegman, A.

PY - 2001/2/1

Y1 - 2001/2/1

N2 - The motion of idealized inextensible strings is discussed. The equations of motion are analyzed for closed-loop configurations, free of body forces and open hanging strings whirling under gravity. The latter give rise to an interesting non-linear eigenvalue problem describing a spectrum of whirling modes that is amenable to numerical investigation by using the shooting method for two-point boundary value problems. The spectrum is compared with that for small amplitude excitations in both fixed and rotating vertical plane through the suspension point. The results provide a useful theoretical background for an analysis of a laboratory exploration of whirling chains.

AB - The motion of idealized inextensible strings is discussed. The equations of motion are analyzed for closed-loop configurations, free of body forces and open hanging strings whirling under gravity. The latter give rise to an interesting non-linear eigenvalue problem describing a spectrum of whirling modes that is amenable to numerical investigation by using the shooting method for two-point boundary value problems. The spectrum is compared with that for small amplitude excitations in both fixed and rotating vertical plane through the suspension point. The results provide a useful theoretical background for an analysis of a laboratory exploration of whirling chains.

U2 - 10.1006/jsvi.2000.3190

DO - 10.1006/jsvi.2000.3190

M3 - Journal article

VL - 239

SP - 969

EP - 982

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

SN - 0022-460X

IS - 5

ER -