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A DYNAMIC FINITE ELEMENT FOR VIBRATION ANALYSIS OF CABLES AND WIRE ROPES

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In this paper, the development of a mesh reduction Dynamic Finite Element (DFE) technique for the coupled extension-torsion vibration analysis of braided/twisted wire ropes and cables is presented. The weighted residual method together with frequency-dependant trigonometric shape functions, are exploited to derive the frequency-dependent element DFE matrices. Assembling the element matrices generates the global stiffness matrix that leads to the eigenvalue problem of the system. The natural frequencies and modes of vibration of the structure are then evaluated by solving the resulting non-linear eigenproblem. The free vibration analyses based on DFE are consequently carried out for a variety of cable configurations. The comparison between the DFE, exact and FEM results and those available in literature validated the proposed DFE and confirmed its practical applicability and superiority, when compared to conventional FEM.

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