Oscillations of Bridge Stay Cables Induced by Periodic Motions of Deck and or Towers

This paper deals with the oscillations of bridge stay cables that may be excited by wind or by traffic-induced periodic motions of the deck and or towers. A theoretical model is developed for the study of nonlinear oscillations in inclined stay cables as a result of small anchorage motions. Laborato...

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Published in:	Journal of engineering mechanics Vol. 122; no. 7; pp. 613 - 622
Main Authors:	Costa, A. Pinto da, Martins, J. A. C, Branco, F, Lilien, J. L
Format:	Journal Article
Language:	English
Published:	Reston, VA American Society of Civil Engineers 01-07-1996
Subjects:	Applied sciences Buildings. Public works Exact sciences and technology Stresses. Safety Structural analysis. Stresses TECHNICAL PAPERS Dynamic response Theoretical model Non linear model Oscillations Laboratory test Periodic motion Bridge decks Tower (building) Anchoring Cable stayed bridges Structural analysis Cables
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Abstract	This paper deals with the oscillations of bridge stay cables that may be excited by wind or by traffic-induced periodic motions of the deck and or towers. A theoretical model is developed for the study of nonlinear oscillations in inclined stay cables as a result of small anchorage motions. Laboratory tests are performed to check the validity of the model in some particular situations. Approximate analytic formulas and numerical solutions are obtained for the cable transverse displacements and the corresponding axial force oscillations. The behavior of inclined stay cables is interpreted by comparison with similar horizontal or vertical cables subjected to appropriate components of the excitation. It is shown that reasonably small anchorage amplitudes may lead to important cable oscillations when conditions are met for lower-order classical or parametric resonance of the cables.
AbstractList	This paper deals with the oscillations of bridge stay cables that may be excited by wind or by traffic-induced periodic motions of the deck and or towers. A theoretical model is developed for the study of nonlinear oscillations in inclined stay cables as a result of small anchorage motions. Laboratory tests are performed to check the validity of the model in some particular situations. Approximate analytic formulas and numerical solutions are obtained for the cable transverse displacements and the corresponding axial force oscillations. The behavior of inclined stay cables is interpreted by comparison with similar horizontal or vertical cables subjected to appropriate components of the excitation. It is shown that reasonably small anchorage amplitudes may lead to important cable oscillations when conditions are met for lower-order classical or parametric resonance of the cables.
Author	Lilien, J. L Martins, J. A. C Branco, F Costa, A. Pinto da
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Keywords	Dynamic response Theoretical model Non linear model Oscillations Laboratory test Periodic motion Bridge decks Tower (building) Anchoring Cable stayed bridges Structural analysis Cables
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References	Tagata, G. 1977; 51 Lilien, J. L.; Pinto da Costa, A. 1994; 174 Perkins, N. C. 1992; 27 Benedettini, F.; Rega, G. 1987; 22 Abdel-Ghaffar, A. M.; Khalifa, M. A. 1992; 117 e_1_2_1_6_2 e_1_2_1_7_2 e_1_2_1_4_2 e_1_2_1_5_2 e_1_2_1_2_2 e_1_2_1_11_2 e_1_2_1_3_2 e_1_2_1_12_2 e_1_2_1_1_2 e_1_2_1_10_2 e_1_2_1_15_2 e_1_2_1_16_2 e_1_2_1_13_2 e_1_2_1_14_2 e_1_2_1_8_2 e_1_2_1_17_2 e_1_2_1_9_2 e_1_2_1_18_2
References_xml	– volume: 22 start-page: 497 year: 1987 article-title: Non-linear dynamics of an elastic cable under planar excitation. publication-title: Int. J. Non-Linear Mech. contributor: fullname: Benedettini, F.; Rega, G. – volume: 174 start-page: 69 year: 1994 article-title: Vibration amplitudes caused by parametric excitation of cable stayed structures. publication-title: J. Sound and Vibration contributor: fullname: Lilien, J. L.; Pinto da Costa, A. – volume: 51 start-page: 483 year: 1977 article-title: Harmonically forced finite amplitude vibration of a string. publication-title: J. Sound and Vibration contributor: fullname: Tagata, G. – volume: 117 start-page: 2571 year: 1992 article-title: Importance of cable vibration in dynamics of cable-stayed bridges. publication-title: J. Engrg. Mech., ASCE contributor: fullname: Abdel-Ghaffar, A. M.; Khalifa, M. A. – volume: 27 start-page: 233 year: 1992 article-title: Modal interactions in the non-linear response of elastic cables under parametric external excitation. publication-title: Int. J. Non-Linear Mech. contributor: fullname: Perkins, N. C. – ident: e_1_2_1_11_2 – ident: e_1_2_1_14_2 – ident: e_1_2_1_15_2 doi: 10.1016/S0022-460X(77)80046-1 – ident: e_1_2_1_17_2 – ident: e_1_2_1_16_2 doi: 10.1016/0167-6105(92)90620-P – ident: e_1_2_1_3_2 – ident: e_1_2_1_4_2 doi: 10.1016/0167-6105(84)90033-3 – ident: e_1_2_1_8_2 – ident: e_1_2_1_12_2 doi: 10.1016/0167-6105(90)90047-G – ident: e_1_2_1_1_2 doi: 10.1061/(ASCE)0733-9399(1991)117:11(2571) – ident: e_1_2_1_5_2 – ident: e_1_2_1_13_2 – ident: e_1_2_1_18_2 doi: 10.1016/0167-6105(89)90026-3 – ident: e_1_2_1_6_2 – ident: e_1_2_1_7_2 doi: 10.1006/jsvi.1994.1261 – ident: e_1_2_1_9_2 – ident: e_1_2_1_2_2 doi: 10.1016/0020-7462(87)90039-4 – ident: e_1_2_1_10_2 doi: 10.1016/0020-7462(92)90083-J
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Snippet	This paper deals with the oscillations of bridge stay cables that may be excited by wind or by traffic-induced periodic motions of the deck and or towers. A... This paper deals with the oscillations of bridge stay cables that may be excited by wind or by traffic-induced periodic motions of the deck and/or towers. A...
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Title	Oscillations of Bridge Stay Cables Induced by Periodic Motions of Deck and or Towers
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