Abstract
A simplified model for active control of vibration of a suspended cable is proposed. The model is constructed so that it considers the dynamic characteristics of the cable at the location where a vibration absorber is attached together with the absorber itself. The control is applicable for attenuating high-frequency, low-amplitude cable vibration due to periodic excitation that may model the wind effect. The methodology to choose control parameters is based on the dynamics of the vibration absorber and the stability analysis of the controlled system. The model takes into account the time delay that is always present in digital control due to sampling. Results reveal that the application of active control reduces vibration amplitude significantly provided that samples are taken in short time intervals. Increasing time delay reduces the effects of control and above a critical value, the vibration amplitude becomes even greater than without control. The importance of time delay grows with increasing excitation frequency, which means a limitation of the application of the control methodology developed. This limitation concerns the highest excitation frequencies.
Highlights
Cable structures are often exposed to natural phenomena that induce cable vibration
A model is developed for the active control of vibration of suspended cables exposed to high-frequency, lowamplitude periodic excitation
The model simulates the dynamic behaviour of the cable with a vibration absorber at the location where the absorber is attached, and considers the effects of time delay due to taking samples during the control process
Summary
Cable structures are often exposed to natural phenomena that induce cable vibration. The main application areas where such problems occur are power transmission lines and cablestayed bridges. Olgac and Holm-Hansen [18] proposed an active vibration absorption technique that utilizes a controlled time delay in the feedback loop. This delayed resonator can remove oscillations for a wide range of frequencies with the proper selection of time delay and feedback gain. The aim of the present study is to build a simplified model for active vibration control with sampling delay of a suspended cable exposed to periodic excitation, and to investigate the effects of time delay in the digital control in detail. The vibration control is successful for a wide range of excitation frequencies; the sampling delay results in a limitation of the control applied, which is an important conclusion drawn from this research
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