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Statics of nonlinear elastic cable-stayed systems with slipping flexible cables

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Abstract

A design model is proposed to describe spatial cable-stayed systems with slipping cables. The basic variables of the displacement method are selected. A system of nonlinear equilibrium equations is derived from the condition of minimum potential energy, taking into account the large displacements of joints and the large deformations of cables. A method and formulas needed to iteratively solve the system of nonlinear equations are presented. Individual consideration is given to a cable net with prescribed tension. The computed results make it possible to fabricate and mark out cable rods and to assemble cable nets based on their geometry alone, without the need for force measurement

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Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 79–87, May 2006.

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Gordeev, V.N., Shimanovskaya, M.A. Statics of nonlinear elastic cable-stayed systems with slipping flexible cables. Int Appl Mech 42, 560–567 (2006). https://doi.org/10.1007/s10778-006-0121-0

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  • DOI: https://doi.org/10.1007/s10778-006-0121-0

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