Theory of Weightless Sagging Elasto-Flexible Cables
Abstract 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., a re 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.
| Main Authors: | , , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Associação Brasileira de Ciências Mecânicas
2016
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000100155 |
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