Abstract
This paper describes a non contacting measurement technique for the transverse vibration of small cables and strings using an analog position sensing detector. On the one hand, the sensor is used to monitor the cable vibrations of a small scale mock‐up of a cable structure in order to validate the nonlinear cable dynamics model. On the other hand, the optical sensor is used to evaluate the performance of an active tendon control algorithm with guaranteed stability properties. It is demonstrated experimentally, that a force feedback control law based on a collocated force sensor measuring the tension in the cable is feasible and provides active damping in the cable.
Highlights
Cable vibration has become a major issue in the design of cable stayed bridges, as their ever increasing span makes them more sensitive to flutter instability and to wind and traffic-induced vibrations
This paper describes a non contacting measurement technique for the transverse vibration of small cables and strings using an analog position sensing detector
Cable vibrations can be measured through the variation of the tension in the cable; this signal includes a complex mixture of linear and quadratic terms; the former appears at the natural frequency of the cable while the latter appears at twice the natural frequency
Summary
Cable vibration has become a major issue in the design of cable stayed bridges, as their ever increasing span makes them more sensitive to flutter instability and to wind and traffic-induced vibrations. The problem is difficult because of the highly nonlinear behavior of cables with sag and the strong coupling between the cables and the bridge deck dynamics: the cables excite the bridge through the time varying tension and the deck excites the cables through the linear coupling (inertia) and the quadratic coupling terms; the latter may produce parametric excitation if some tuning conditions are satisfied [8,9]
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