Torsional Vibration of a Shafting System under Electrical Disturbances

Torsional vibration responses of a nonlinear shafting system are studied by a modified Riccati torsional transfer matrix combining with the Newmark-β method. Firstly, the system is modeled as a chain consisting of an elastic spring with concentrated mass points, from which a multi-segment lumped mas...

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Main Authors: Ling Xiang, Shixi Yang, Chunbiao Gan
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-2012-0666
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author Ling Xiang
Shixi Yang
Chunbiao Gan
author_facet Ling Xiang
Shixi Yang
Chunbiao Gan
author_sort Ling Xiang
collection DOAJ
description Torsional vibration responses of a nonlinear shafting system are studied by a modified Riccati torsional transfer matrix combining with the Newmark-β method. Firstly, the system is modeled as a chain consisting of an elastic spring with concentrated mass points, from which a multi-segment lumped mass model is established. Secondly, accumulated errors are eliminated from the eigenfrequencies and responses of the system's torsional vibration by this newly developed procedure. The incremental transfer matrix method, combining the modified Riccati torsional transfer matrix with Newmark-β method, is further applied to solve the dynamical equations for the torsional vibration of the nonlinear shafting system. Lastly, the shafting system of a turbine-generator is employed as an illustrating example, and simulation analysis has been performed on the transient responses of the shaft's torsional vibrations during typical power network disturbances, such as three-phase short circuit, two-phase short circuit and asynchronous juxtaposition. The results validate the present method and are instructive for the design of a turbo-generator shaft.
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institution Kabale University
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series Shock and Vibration
spelling doaj-art-4137844bff9f43438e8a226e96280e2c2025-02-03T05:57:33ZengWileyShock and Vibration1070-96221875-92032012-01-011961223123310.3233/SAV-2012-0666Torsional Vibration of a Shafting System under Electrical DisturbancesLing Xiang0Shixi Yang1Chunbiao Gan2Department of Mechanical Engineering, Zhejiang University, Hangzhou, Zhejiang, ChinaDepartment of Mechanical Engineering, Zhejiang University, Hangzhou, Zhejiang, ChinaDepartment of Mechanical Engineering, Zhejiang University, Hangzhou, Zhejiang, ChinaTorsional vibration responses of a nonlinear shafting system are studied by a modified Riccati torsional transfer matrix combining with the Newmark-β method. Firstly, the system is modeled as a chain consisting of an elastic spring with concentrated mass points, from which a multi-segment lumped mass model is established. Secondly, accumulated errors are eliminated from the eigenfrequencies and responses of the system's torsional vibration by this newly developed procedure. The incremental transfer matrix method, combining the modified Riccati torsional transfer matrix with Newmark-β method, is further applied to solve the dynamical equations for the torsional vibration of the nonlinear shafting system. Lastly, the shafting system of a turbine-generator is employed as an illustrating example, and simulation analysis has been performed on the transient responses of the shaft's torsional vibrations during typical power network disturbances, such as three-phase short circuit, two-phase short circuit and asynchronous juxtaposition. The results validate the present method and are instructive for the design of a turbo-generator shaft.http://dx.doi.org/10.3233/SAV-2012-0666
spellingShingle Ling Xiang
Shixi Yang
Chunbiao Gan
Torsional Vibration of a Shafting System under Electrical Disturbances
Shock and Vibration
title Torsional Vibration of a Shafting System under Electrical Disturbances
title_full Torsional Vibration of a Shafting System under Electrical Disturbances
title_fullStr Torsional Vibration of a Shafting System under Electrical Disturbances
title_full_unstemmed Torsional Vibration of a Shafting System under Electrical Disturbances
title_short Torsional Vibration of a Shafting System under Electrical Disturbances
title_sort torsional vibration of a shafting system under electrical disturbances
url http://dx.doi.org/10.3233/SAV-2012-0666
work_keys_str_mv AT lingxiang torsionalvibrationofashaftingsystemunderelectricaldisturbances
AT shixiyang torsionalvibrationofashaftingsystemunderelectricaldisturbances
AT chunbiaogan torsionalvibrationofashaftingsystemunderelectricaldisturbances