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Abstract:
Cables are very efficient structural members used in tension structures such as cable-supported bridges, cable roofs, and guyed towers/masts etc. due to their high strength and light weight. The analytical static analysis of a cable is difficult due to its nonlinear behavior under cable tension. In this paper a two-node parabolic cable element is proposed for the static nonlinear analysis of cable structures. Starting from the equations of equilibrium and motion, an analytical dynamic stiffness matrix of cables, whose coefficients are functions of the frequencies, is derived in the presumed parabolic cables. Unlike the assumed polynomial displacement interpolation functions, the specific feature of present cable element is that the explicit expression of nonlinear static stiffness matrix is obtained from the derived analytical cable dynamic stiffness matrix letting the frequency be zero. The static responses of cable structures subject to the point or uniformly distributed loads can be calculated using the Newton-Raphson iterative procedure. Several numerical examples are presented to illustrate the applicability and reliability of the proposed parabolic cable finite element formulation. It is demonstrated that present results agree well with those obtained from the nonlinear theory of parabolic cable and published in previous literatures. The iteration procedure converges fast and only a limited number of cable elements are implemented.
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Year: 2017
Page: 271-282
Language: English
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 2
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