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Periodic Responses of a Rotating Hub-Beam System with a Tip Mass under Gravity Loads by the Incremental Harmonic Balance Method
Joint Authors
Liu, Jike
Zhu, W. D.
Zhang, D. W.
Huang, J. L.
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-13
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Dynamic characteristics of a flexible hub-beam system with a tip mass under gravity loads are investigated.
The slope angle of the centroid line of the beam is utilized to describe its motion.
Hamilton’s principle is used to derive the equations of motion and their boundary conditions.
By using Lagrange’s equations, spatially discretized equations based on assumed mode method are derived, and the equations of motion are expressed in nondimensional matrix form.
The incremental harmonic balance (IHB) method is used to solve for periodic responses of a high-dimensional model of the rotating hub-beam system with a tip mass for which convergence is reached.
A frequency equation is derived giving the relationship between the nondimensional natural frequencies and three nondimensional parameters, that is, the rotating angular velocity, the tip mass, and the hub radius ratio.
A comparative study is performed for nonlinear frequency responses of the system with a tip mass under different values of tip masses and damping ratios.
American Psychological Association (APA)
Zhang, D. W.& Liu, Jike& Huang, J. L.& Zhu, W. D.. 2018. Periodic Responses of a Rotating Hub-Beam System with a Tip Mass under Gravity Loads by the Incremental Harmonic Balance Method. Shock and Vibration،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1215473
Modern Language Association (MLA)
Zhang, D. W.…[et al.]. Periodic Responses of a Rotating Hub-Beam System with a Tip Mass under Gravity Loads by the Incremental Harmonic Balance Method. Shock and Vibration No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1215473
American Medical Association (AMA)
Zhang, D. W.& Liu, Jike& Huang, J. L.& Zhu, W. D.. Periodic Responses of a Rotating Hub-Beam System with a Tip Mass under Gravity Loads by the Incremental Harmonic Balance Method. Shock and Vibration. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1215473
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1215473