![](/images/graphics-bg.png)
The Analysis of Curved Beam Using B-Spline Wavelet on Interval Finite Element Method
Joint Authors
Yang, Zhibo
He, Zhengjia
He, Yumin
Zhang, Jie
Chen, Xuefeng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A B-spline wavelet on interval (BSWI) finite element is developed for curved beams, and the static and free vibration behaviors of curved beam (arch) are investigated in this paper.
Instead of the traditional polynomial interpolation, scaling functions at a certain scale have been adopted to form the shape functions and construct wavelet-based elements.
Different from the process of the direct wavelet addition in the other wavelet numerical methods, the element displacement field represented by the coefficients of wavelets expansions is transformed from wavelet space to physical space by aid of the corresponding transformation matrix.
Furthermore, compared with the commonly used Daubechies wavelet, BSWI has explicit expressions and excellent approximation properties, which guarantee satisfactory results.
Numerical examples are performed to demonstrate the accuracy and efficiency with respect to previously published formulations for curved beams.
American Psychological Association (APA)
Yang, Zhibo& Chen, Xuefeng& He, Yumin& He, Zhengjia& Zhang, Jie. 2014. The Analysis of Curved Beam Using B-Spline Wavelet on Interval Finite Element Method. Shock and Vibration،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1047989
Modern Language Association (MLA)
Yang, Zhibo…[et al.]. The Analysis of Curved Beam Using B-Spline Wavelet on Interval Finite Element Method. Shock and Vibration No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1047989
American Medical Association (AMA)
Yang, Zhibo& Chen, Xuefeng& He, Yumin& He, Zhengjia& Zhang, Jie. The Analysis of Curved Beam Using B-Spline Wavelet on Interval Finite Element Method. Shock and Vibration. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1047989
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1047989