Nonlinear vibrations analysis of overhead power lines: a beam with mass-spring-damper-mass systems

[+] Author and Article Information
Mohammad Bukhari

College of Science and Engineering, Central Michigan University, Mt. Pleasant, MI 48859, USA

Oumar Barry

College of Science and Engineering, Central Michigan University, Mt. Pleasant, MI 48859, USA

1Corresponding author.

ASME doi:10.1115/1.4038807 History: Received April 19, 2017; Revised November 14, 2017


This paper examines the nonlinear vibration of a single conductor with Stockbridge dampers. The conductor is modeled as a simply supported beam and the Stockbridge damper is reduced to a mass-spring-damper-mass system. The nonlinearity of the system stems from the mid-plane stretching of the conductor and the cubic equivalent stiffness of the Stockbridge damper. The derived nonlinear equations of motion are solved by the method of multiple scales. Explicit expressions are presented for the nonlinear frequency, solvability conditions, and the detuning parameter. The present results are validated via comparisons with those in the literature. Parametric studies are conducted to investigate the effect of variable control parameters on the nonlinear frequency and the frequency response curves. The results indicate that the maximum vibration amplitude can be reduced by increasing the numbers of absorbers that have relatively high equivalent damping coeffcient. The maximum amplitude can be further alleviated by increasing the value of suspended masses.

Copyright (c) 2017 by ASME
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