Semiactive variable stiffness control for parametric vibration of cables
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Li Hui (Àî »Ý)1, Chen Wenli (³ÂÎÄÀñ)1 and Ou Jinping (Å·½øƼ)1,2
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1. School of Civil Engineering, Harbin Institute of Technology, Harbin
150090, China
2. Dalian University of Technology, Dalian 116024, China
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Abstract: In this paper, a semiactive variable
stiffness (SVS) device is used to decrease cable oscillations caused by
parametric excitation, and the equation of motion of the parametric vibration of
the cable with this SVS device is presented. The ON/OFF control algorithm is
used to operate the SVS control device. The vibration response of the cable with
the SVS device is numerically studied for a variety of additional stiffness
combinations in both the frequency and time domains and for both parametric and
classical resonance vibration conditions. The numerical studies further consider
the cable sag effect. From the numerical results, it is shown that the SVS
device effectively suppresses the cable resonance vibration response, and as the
stiffness of the device increases, the device achieves greater suppression of
vibration. Moreover, it was shown that the SVS device increases the critical
axial displacement of the excitation under cable parametric vibration
conditions.
Keywords:cable; semiactive control; semiactive
variable stiffness control; parametric vibration; resonance; nonlinearity
