Dynamic Characteristics of Blade with Viscoelastic Damping Block Based on Complex Eigenvalue Method

A novel method for vibration suppression is proposed, adding a viscoelastic damping block to the root of the blade. The dynamical equation for a rotational viscoelastic damping block-blade (VE-blade) in a centrifugal force field and aerodynamic force field is established to calculate the dynamical n...

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Main Authors: Jiao Wang, Yue-hao Zhang, Tao Yu, Qing-kai Han
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2018/5068901
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author Jiao Wang
Yue-hao Zhang
Tao Yu
Qing-kai Han
author_facet Jiao Wang
Yue-hao Zhang
Tao Yu
Qing-kai Han
author_sort Jiao Wang
collection DOAJ
description A novel method for vibration suppression is proposed, adding a viscoelastic damping block to the root of the blade. The dynamical equation for a rotational viscoelastic damping block-blade (VE-blade) in a centrifugal force field and aerodynamic force field is established to calculate the dynamical natural frequency and responses of the VE-blade. Complex modulus model is applied to represent the constitutive law of viscoelastic material and shear force acting on the VE-blade formulates the effect of viscoelastic damping at the root interfaces. The dynamical equation of the system is established and the Galerkin method is used to discretize the partial differential equations to a 3-DOF system so as to compute the dynamic natural frequencies and responses of the VE-blade. Then the differential equations of motion with 3-DOF are numerically solved by using complex eigenvalue method. A cantilever VE-blade is simplified according to testing the first three natural frequencies of the real blade to obtain geometric parameters of cantilever beam. The effects of various parameters including thickness, storage modulus, loss factor of viscoelastic damping block, and rotating speed on natural frequency and modal damping ratio of VE-blade are discussed in detail.
format Article
id doaj-art-5ea0895c0f144615911fc5d4ee80c153
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-5ea0895c0f144615911fc5d4ee80c1532025-02-03T05:58:34ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/50689015068901Dynamic Characteristics of Blade with Viscoelastic Damping Block Based on Complex Eigenvalue MethodJiao Wang0Yue-hao Zhang1Tao Yu2Qing-kai Han3School of Mechatronics and Automobile Engineering, Yantai University, Yantai 264005, ChinaEngineering Training Center, Yantai University, Yantai 264005, ChinaSchool of Mechatronics and Automobile Engineering, Yantai University, Yantai 264005, ChinaDalian Universities of Technology, Dalian 116024, ChinaA novel method for vibration suppression is proposed, adding a viscoelastic damping block to the root of the blade. The dynamical equation for a rotational viscoelastic damping block-blade (VE-blade) in a centrifugal force field and aerodynamic force field is established to calculate the dynamical natural frequency and responses of the VE-blade. Complex modulus model is applied to represent the constitutive law of viscoelastic material and shear force acting on the VE-blade formulates the effect of viscoelastic damping at the root interfaces. The dynamical equation of the system is established and the Galerkin method is used to discretize the partial differential equations to a 3-DOF system so as to compute the dynamic natural frequencies and responses of the VE-blade. Then the differential equations of motion with 3-DOF are numerically solved by using complex eigenvalue method. A cantilever VE-blade is simplified according to testing the first three natural frequencies of the real blade to obtain geometric parameters of cantilever beam. The effects of various parameters including thickness, storage modulus, loss factor of viscoelastic damping block, and rotating speed on natural frequency and modal damping ratio of VE-blade are discussed in detail.http://dx.doi.org/10.1155/2018/5068901
spellingShingle Jiao Wang
Yue-hao Zhang
Tao Yu
Qing-kai Han
Dynamic Characteristics of Blade with Viscoelastic Damping Block Based on Complex Eigenvalue Method
Shock and Vibration
title Dynamic Characteristics of Blade with Viscoelastic Damping Block Based on Complex Eigenvalue Method
title_full Dynamic Characteristics of Blade with Viscoelastic Damping Block Based on Complex Eigenvalue Method
title_fullStr Dynamic Characteristics of Blade with Viscoelastic Damping Block Based on Complex Eigenvalue Method
title_full_unstemmed Dynamic Characteristics of Blade with Viscoelastic Damping Block Based on Complex Eigenvalue Method
title_short Dynamic Characteristics of Blade with Viscoelastic Damping Block Based on Complex Eigenvalue Method
title_sort dynamic characteristics of blade with viscoelastic damping block based on complex eigenvalue method
url http://dx.doi.org/10.1155/2018/5068901
work_keys_str_mv AT jiaowang dynamiccharacteristicsofbladewithviscoelasticdampingblockbasedoncomplexeigenvaluemethod
AT yuehaozhang dynamiccharacteristicsofbladewithviscoelasticdampingblockbasedoncomplexeigenvaluemethod
AT taoyu dynamiccharacteristicsofbladewithviscoelasticdampingblockbasedoncomplexeigenvaluemethod
AT qingkaihan dynamiccharacteristicsofbladewithviscoelasticdampingblockbasedoncomplexeigenvaluemethod