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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Format: | Article |
Language: | English |
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Wiley
2018-01-01
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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 |