Dynamic analysis of the inclined cable under wind-induced vibration through harmonic discretization

Abstract

This paper intends to reveal the dynamic mechanism of the inclined cable under wind-induced vibration based on a multi-mode reduced model. The discrete harmonic superposition method is applied to simulate the broadband wind-induced loads. Galerkin’s method and the method of multiple scales are utilized to derive the modulation equations. The asymmetrical profile of inclined cable due to the inclination is discussed, of which results demonstrate the parabola assumption of the cable’s initial static profile is rational only when its sag-to-span ratio is small enough. Moreover, the drift phenomena and new resonance peak will appear with the variation of frequency and amplitude of the multi-frequency excitations, which indicates the multi-mode resonance mechanism.