Frequency Equation of Flexural Vibrating Cantilever Beam Considering the Rotary Inertial Moment of an Attached Mass

Frequency Equation of Flexural Vibrating Cantilever Beam Considering the Rotary Inertial Moment of an Attached Mass

The major goal of this paper is to address the derivation of the frequency equation of flexural vibrating cantilever beam considering the bending moment generated by an additional mass at the free end of beam, not just the shear force. It is a transcendental equation with two unambiguous physical me...

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Main Authors: Binghui Wang, Zhihua Wang, Xi Zuo
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/1568019
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spelling doaj-c8b98cb5c3774895adb0fe6af8b7efdd2020-11-24T21:04:47ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/15680191568019Frequency Equation of Flexural Vibrating Cantilever Beam Considering the Rotary Inertial Moment of an Attached MassBinghui Wang0Zhihua Wang1Xi Zuo2School of Architecture and Civil Engineering, Jiangsu University of Science and Technology, 2 Mengxi Road, Zhenjiang, Jiangsu, ChinaInstitute of Geotechnical Engineering, Nanjing Tech University, 200 North Zhongshan Road, Nanjing, ChinaInstitute of Architectural Engineering, Jinling Institute of Technology, Nanjing, ChinaThe major goal of this paper is to address the derivation of the frequency equation of flexural vibrating cantilever beam considering the bending moment generated by an additional mass at the free end of beam, not just the shear force. It is a transcendental equation with two unambiguous physical meaning parameters. And the influence of the two parameters on the characteristics of frequency and shape mode was made. The results show that the inertial moment of the mass has the significant effect on the natural frequency and the shape mode. And it is more reasonable using this frequency equation to analyze vibration and measure modulus.http://dx.doi.org/10.1155/2017/1568019
collection DOAJ
language English
format Article
sources DOAJ
author Binghui Wang
Zhihua Wang
Xi Zuo
spellingShingle Binghui Wang
Zhihua Wang
Xi Zuo
Frequency Equation of Flexural Vibrating Cantilever Beam Considering the Rotary Inertial Moment of an Attached Mass
Mathematical Problems in Engineering
author_facet Binghui Wang
Zhihua Wang
Xi Zuo
author_sort Binghui Wang
title Frequency Equation of Flexural Vibrating Cantilever Beam Considering the Rotary Inertial Moment of an Attached Mass
title_short Frequency Equation of Flexural Vibrating Cantilever Beam Considering the Rotary Inertial Moment of an Attached Mass
title_full Frequency Equation of Flexural Vibrating Cantilever Beam Considering the Rotary Inertial Moment of an Attached Mass
title_fullStr Frequency Equation of Flexural Vibrating Cantilever Beam Considering the Rotary Inertial Moment of an Attached Mass
title_full_unstemmed Frequency Equation of Flexural Vibrating Cantilever Beam Considering the Rotary Inertial Moment of an Attached Mass
title_sort frequency equation of flexural vibrating cantilever beam considering the rotary inertial moment of an attached mass
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description The major goal of this paper is to address the derivation of the frequency equation of flexural vibrating cantilever beam considering the bending moment generated by an additional mass at the free end of beam, not just the shear force. It is a transcendental equation with two unambiguous physical meaning parameters. And the influence of the two parameters on the characteristics of frequency and shape mode was made. The results show that the inertial moment of the mass has the significant effect on the natural frequency and the shape mode. And it is more reasonable using this frequency equation to analyze vibration and measure modulus.
url http://dx.doi.org/10.1155/2017/1568019
work_keys_str_mv AT binghuiwang frequencyequationofflexuralvibratingcantileverbeamconsideringtherotaryinertialmomentofanattachedmass
AT zhihuawang frequencyequationofflexuralvibratingcantileverbeamconsideringtherotaryinertialmomentofanattachedmass
AT xizuo frequencyequationofflexuralvibratingcantileverbeamconsideringtherotaryinertialmomentofanattachedmass
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