Nonlinear numerical model with contact for Stockbridge vibration damper and experimental validation

Abstract

The Stockbridge vibration damper is widely used in overhead transmission lines to reduce Aeolian vibration. Although a linear analytical model has been developed to interpret characteristics of the vibration damper, a much more detailed model is needed to investigate how the nonlinear factors of the structure affect its vibration characteristics. The paper presents a full-scale finite element model of the Stockbridge vibration damper, in which contact conditions are taken into account using the linear perturbation method. Relations between the contact conditions and mode frequencies were studied. It was proved that contact conditions between each two parts of the damper have significant influence on the stiffness of the whole structure. Results obtained from the numerical model compare well with those from the experiment. Finally, this numerical model was applied to investigate how the bonding material between the counterweight and steel strand cable affects the mode frequencies of the vibration damper.

Nonlinear dynamic analysis of wire-rope isolator and Stockbridge damper

“…This procedure is vastly used considering the Masing model for modeling the nonlinear damping behavior of the damper cable of the Stockbridge damper [3]. Nonlinear mathematical models for simulating the dynamic behavior of Stockbridge damper can be found in [3,4,23].…”

Hysteretic Behaviour of Stockbridge Dampers: Modelling and Parameter Identification

“…A full-scale nonlinear finite element model based on 3D solid elements has been recently developed by Luo et al [22]. The 3D finite element approach allows introducing a detailed model for the local contact conditions between the wires of the messenger cables as well as between the clamp and the messenger cable, allowing appreciating how these complex local phenomena play a key role in the determination of the overall dynamic characteristics of the Stockbridge damper.…”

Finite Element Modeling of Stockbridge Damper and Vibration Analysis: Equivalent Cable Stiffness

“…The damping mechanism is observed as the vibrations of the conductor are transferred to the Stockbridge damper, and the energy of the conductor is imparted to the oscillating counterweights [6], [7]. The symmetric Stockbridge damper exhibits two resonant frequencies while the asymmetric Stockbridge damper has four [8], [9]. Conventional mathematical models of the Stockbridge damper assume the system to be a 2 DOF system [10], [11] with the counterweight to be a lumped mass and the messenger to be a massless beam.…”

“…This model behaves as a cantilever beam with a tip mass. The messenger is a bunch of metal strands knit together to form a cable [8]. The cable is made of galvanized steel.…”

“…Two models are developed: one with the messenger as a stranded cable and the other with the messenger as a rod. The stranded messenger is modeled as a 1x19 cable, and it is ensured that there is frictionless contact between the surfaces of individual strands [8]. The messenger is made of galvanized steel with Young's modulus 2.00E+11 N/m 2 , Poisson's ratio 0.29 and mass density 7870 kg/m 3 .The Young's modulus of the counterweight is 6.62E+10 N/m 2 and its Poisson's ratio was 0.27 with a mass density 7200 kg/m 3 .…”