Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1974 · 518 citations · 0 references
EngineeringPhysicsStructural AnalysisStructural DynamicsVibrationFree VibrationLinear VibrationMode ShapesStructural MechanicsStructural VibrationVibration AnalysisCable DynamicsCable VibrationLinear Response TheoryStability Of Free Vibrations
Abstract A linear theory is developed for the free vibrations of a uniform suspended cable in which the ratio of sag to span is about 1:8, or less. Both in-plane and out-of-plane motion is considered. It is shown that the analysis of the symmetric in-plane modes is heavily dependent on a parameter which allows for the effects of cable geometry and elasticity. The results of simple experiments are reported which establish the validity of the theory.