Analysis of Complex Modal Characteristics of Fractional Derivative Viscoelastic Rotating Beams
Joint Authors
Wang, Zhongmin
Lu, Tianle
Liu, Dongdong
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
For the transverse vibration problem of a fractional derivative viscoelastic rotating beam, the differential equation of the system is obtained based on the Euler–Bernoulli beam theory and Hamilton principle.
Then, introducing dimensionless quantities to differential equations and boundary conditions, the generalized complex eigenvalue equations of the system are obtained by the differential quadrature method.
The effects of the slenderness ratio, the viscoelastic ratio, the hub radius-beam length ratio, and dimensionless hub speed and fractional order on the vibration characteristics of fractional derivative viscoelastic rotating beams are discussed by numerical examples.
Numerical calculations show that when the dimensionless hub speed is constant, the real part of complex frequency increases with the increase of the fractional order, and the higher-order growth trend is more obvious.
Through the study of displacement response at different points on the beam, it can be seen that the closer to the free end, the larger the response amplitude.
And, the amplitude of response has been attenuated, which is also consistent with the vibration law of free vibration considering damping.
American Psychological Association (APA)
Lu, Tianle& Wang, Zhongmin& Liu, Dongdong. 2019. Analysis of Complex Modal Characteristics of Fractional Derivative Viscoelastic Rotating Beams. Shock and Vibration،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1211345
Modern Language Association (MLA)
Lu, Tianle…[et al.]. Analysis of Complex Modal Characteristics of Fractional Derivative Viscoelastic Rotating Beams. Shock and Vibration No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1211345
American Medical Association (AMA)
Lu, Tianle& Wang, Zhongmin& Liu, Dongdong. Analysis of Complex Modal Characteristics of Fractional Derivative Viscoelastic Rotating Beams. Shock and Vibration. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1211345
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1211345