In this Paper, a theory of single sagging planer weightless elasto-flexible cables is proposed. In reference to the instantaneous natural state, hypoelastic rate- type constitutive equations and third-order nonlinear differential equations of planer motion for massless cables with nodal masses are derived. New concepts like configurational complementary potential and contra-gradient principles are proposed. Typical dynamic response of these elastic cables with different sustained loads, axial rigidity and sag/span ratios is determined. Modal, subharmonic and internal resonances, jump and beat phenomena, etc., are predicted. A new mode of damping of ‘free’ vibration of the system perturbed from its equilibrium state is identified. Significance of the proposed theory of weightless sagging elasto-flexible cables is discussed.
CITATION STYLE
Kumar, P., Ganguli, A., & Benipal, G. S. (2016). Theory of weightless sagging elasto-flexible cables. Latin American Journal of Solids and Structures, 13(1), 155–174. https://doi.org/10.1590/1679-78252110
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