Free Vibration Analysis of a Sagged Cable under Distributed and Concentrated Loads
نویسندگان
چکیده
Vibration analysis for a cable with concentrated loads (mass) has been studied by many researchers under certain assumptions (e.g. see [1], [2]). This paper is to present an analytic method for analyzing sagged cables which have small equilibrium curvature and horizontal supports under both distributed and concentrated loads. The loads are applied at vertical as well as horizontal directions. Closed-form solutions are obtained from an asymptotic, free vibration analysis for natural frequencies and associated mode shapes in vertical, horizontal and longitudinal directions. This method demonstrates the advantages of its ability to analyze for: (i) interactions between modes in different directions, (ii) complex arrangement of concentrated loads, and (iii) high-order modes. A practical example is given to show the applicability of the theory.
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