Two-Degree Vibration Analysis of a Horizontal Axis Turbine Blade by Finite Differential Methods

Two-degree vibration partial differential equations of large horizontal axis turbine blades were established by Kallesøe’s model and Greenberg unsteady aerodynamic theory. By means of the finite difference discretization and cantilever beam boundary condition, the equations of blades can be simplifi...

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Main Authors: Youfeng Zhu, Hongyu Zang, Xiaofei Kong, Peng Ban
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2018/6087295
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author Youfeng Zhu
Hongyu Zang
Xiaofei Kong
Peng Ban
author_facet Youfeng Zhu
Hongyu Zang
Xiaofei Kong
Peng Ban
author_sort Youfeng Zhu
collection DOAJ
description Two-degree vibration partial differential equations of large horizontal axis turbine blades were established by Kallesøe’s model and Greenberg unsteady aerodynamic theory. By means of the finite difference discretization and cantilever beam boundary condition, the equations of blades can be simplified as a general vibration system. Then a linear stationary state space on the system was built. The blade tip vibration in autonomous and nonautonomous system can be simulated by MATLAB vibration toolboxes in time domain. The convergent, flutter, and divergent vibration curves were plotted in the directions of lead-lag and flapping.
format Article
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institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-93fbe9b7226f487b9293de7c5400b8a02025-02-03T06:45:27ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/60872956087295Two-Degree Vibration Analysis of a Horizontal Axis Turbine Blade by Finite Differential MethodsYoufeng Zhu0Hongyu Zang1Xiaofei Kong2Peng Ban3Shandong University of Science & Technology, Qingdao 266590, ChinaShandong University of Science & Technology, Qingdao 266590, ChinaShandong University of Science & Technology, Qingdao 266590, ChinaShandong University of Science & Technology, Qingdao 266590, ChinaTwo-degree vibration partial differential equations of large horizontal axis turbine blades were established by Kallesøe’s model and Greenberg unsteady aerodynamic theory. By means of the finite difference discretization and cantilever beam boundary condition, the equations of blades can be simplified as a general vibration system. Then a linear stationary state space on the system was built. The blade tip vibration in autonomous and nonautonomous system can be simulated by MATLAB vibration toolboxes in time domain. The convergent, flutter, and divergent vibration curves were plotted in the directions of lead-lag and flapping.http://dx.doi.org/10.1155/2018/6087295
spellingShingle Youfeng Zhu
Hongyu Zang
Xiaofei Kong
Peng Ban
Two-Degree Vibration Analysis of a Horizontal Axis Turbine Blade by Finite Differential Methods
Shock and Vibration
title Two-Degree Vibration Analysis of a Horizontal Axis Turbine Blade by Finite Differential Methods
title_full Two-Degree Vibration Analysis of a Horizontal Axis Turbine Blade by Finite Differential Methods
title_fullStr Two-Degree Vibration Analysis of a Horizontal Axis Turbine Blade by Finite Differential Methods
title_full_unstemmed Two-Degree Vibration Analysis of a Horizontal Axis Turbine Blade by Finite Differential Methods
title_short Two-Degree Vibration Analysis of a Horizontal Axis Turbine Blade by Finite Differential Methods
title_sort two degree vibration analysis of a horizontal axis turbine blade by finite differential methods
url http://dx.doi.org/10.1155/2018/6087295
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AT hongyuzang twodegreevibrationanalysisofahorizontalaxisturbinebladebyfinitedifferentialmethods
AT xiaofeikong twodegreevibrationanalysisofahorizontalaxisturbinebladebyfinitedifferentialmethods
AT pengban twodegreevibrationanalysisofahorizontalaxisturbinebladebyfinitedifferentialmethods