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Paper Information

Journal:   MODARES MECHANICAL ENGINEERING   FEBRUARY 2017 , Volume 16 , Number 11 ; Page(s) 378 To 388.
 
Paper: 

THE EFFECT OF ECCENTRICITY ON THE NONLINEAR GALLOPING OF CABLES UNDER COMBINED WIND FLOW AND SUPPORT MOTION IN 1:1 INTERNAL RESONANCE

 
 
Author(s):  SADRIPOUR SAMAN, JALALI AMIR*
 
* DEPARTMENT OF MECHANICAL ENGINEERING, SHAHROOD UNIVERSITY OF TECHNOLOGY, SHAHROOD, IRAN
 
Abstract: 

Galloping of cables is a kind of self-excited vibration and is characterized by high amplitude and low frequency. In this paper for investigating the nonlinear galloping of an inclined cable, considering flexural and torsional stiffness, a cable-beam model is used. The iced cable is formulated under the effects of combined wind flow and support motion. Assuming low sag to span ratio and using physical parameter values of the cable, the governing equations of motion are obtained as classical equations of the perfectly flexible cable, plus a further equation governing the twist motion. These two degrees of freedom system is discretized via the Galerkin method, by taking one in-plane and one out-of-plane modes as trial function. Two resulting non-homogeneous ordinary differential equations are coupled and contain quadratic and cubic nonlinearities in both velocity and displacement terms. By using multiple scale method for 1: 1 internal resonance, a first order amplitude-phase modulation equation, governing the slow dynamic of the cable is obtained. In this paper the wind speed and the eccentricity of the iced section are set as control parameters. Without considering the eccentricity, the value of amplitude is increased as the wind speed is increase. But considering the eccentricity, it is reduced to first increasing and then decreasing the amplitude.

 
Keyword(s): GALLOPING, CABLE, WIND FLOW, CURVED BEAM, PERTURBATION METHOD
 
References: 
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