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Analytical study of vertical and torsional free vibration of cable supported bridge decks
There are at the present times several groups of researchers attempting to develop theoretical models for predicting the vibratory behaviour of various types of bridge decks. This vibration may be induced by traffic on the decks, by high velocity winds, or by earthquakes. It is generally agreed that any such investigation, to be meaningful, must begin with establishment of the free vibration frequencies and mode shapes of the structure of interest. This is particlarly true of multi-spanbridge decks as many of the free vibration frequencies and mode shapes of the structure of interest. This is particularly true of multi-span bridges decks as many of the free vibration frequencies are found to be grouped close together. For this reason a highly accurate and preferably analytical type solution for deck free vibration is a necessity. The superposition method is employed to obtain an analytical type solution for the free vibration of cable supported bridge decks. Each pair of vertical elastic cables is considered to impart a vertical force to the deck by means of a rigid cross-member passing transversely beneath it. Rigid knife-edge support encountered at bridge towers is handled as well. In this introductory study the deck is treated as a thin isotropic plate. Any number of support cable pairs, of any stiffness, may be handled. Inter cross-member distances are referred to as spans. Free vibration eigenvalues and mode shapes are presented for three and four span illustrative cases.
Analytical study of vertical and torsional free vibration of cable supported bridge decks
There are at the present times several groups of researchers attempting to develop theoretical models for predicting the vibratory behaviour of various types of bridge decks. This vibration may be induced by traffic on the decks, by high velocity winds, or by earthquakes. It is generally agreed that any such investigation, to be meaningful, must begin with establishment of the free vibration frequencies and mode shapes of the structure of interest. This is particlarly true of multi-spanbridge decks as many of the free vibration frequencies and mode shapes of the structure of interest. This is particularly true of multi-span bridges decks as many of the free vibration frequencies are found to be grouped close together. For this reason a highly accurate and preferably analytical type solution for deck free vibration is a necessity. The superposition method is employed to obtain an analytical type solution for the free vibration of cable supported bridge decks. Each pair of vertical elastic cables is considered to impart a vertical force to the deck by means of a rigid cross-member passing transversely beneath it. Rigid knife-edge support encountered at bridge towers is handled as well. In this introductory study the deck is treated as a thin isotropic plate. Any number of support cable pairs, of any stiffness, may be handled. Inter cross-member distances are referred to as spans. Free vibration eigenvalues and mode shapes are presented for three and four span illustrative cases.
Analytical study of vertical and torsional free vibration of cable supported bridge decks
Analytische Studie der Vertikal- und Torsionsschwingungen einer Hängebrücke
Gorman, D.J. (author)
2002
14 Seiten, 25 Bilder, 4 Tabellen, 11 Quellen
Article (Journal)
English
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