Theoretical Analysis on the Nonlinear Free Vibration of a Tri-Cross String
Joint Authors
Pan, Bo
Tang, Jingda
Tarumi, Ryuichi
Shang, Fulin
Wang, Yanbo
Zhang, Weijun
Zhang, Xueyan
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-20
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Here we present a theoretical analysis on the nonlinear free vibration of a tri-cross string system, which is an element of space net-antennas.
We derived the governing equations from Hamilton’s principle and obtained a linearized solution by the standard perturbation method.
The semi-analytical solutions of the governing equations have not been provided referring to the solution of plate vibrating problem.
This analysis revealed that natural frequencies of the tri-cross string depend on the vibration amplitude due to the geometrical nonlinearity in the constitutive equation.
The geometric parameters, such as the diameters and the lengths of the constituent strings, also affect the frequency through the nonlinearity of the tri-cross string.
The nonlinear natural frequency shows coupled characteristic; that is, the natural frequency of the tri-cross string varies with that of the constituent strings, but the contribution of each constituent string to the natural frequency is in different proportions.
American Psychological Association (APA)
Pan, Bo& Tang, Jingda& Tarumi, Ryuichi& Shang, Fulin& Wang, Yanbo& Zhang, Weijun…[et al.]. 2017. Theoretical Analysis on the Nonlinear Free Vibration of a Tri-Cross String. Shock and Vibration،Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1204380
Modern Language Association (MLA)
Pan, Bo…[et al.]. Theoretical Analysis on the Nonlinear Free Vibration of a Tri-Cross String. Shock and Vibration No. 2017 (2017), pp.1-17.
https://search.emarefa.net/detail/BIM-1204380
American Medical Association (AMA)
Pan, Bo& Tang, Jingda& Tarumi, Ryuichi& Shang, Fulin& Wang, Yanbo& Zhang, Weijun…[et al.]. Theoretical Analysis on the Nonlinear Free Vibration of a Tri-Cross String. Shock and Vibration. 2017. Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1204380
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1204380