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Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method
Joint Authors
Wang, Xinhai
Xue, Xiaofeng
Wang, Zhen
Xue, Wei
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-26
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
A plane Hermitian wavelet finite element method is presented in this paper.
Wave motion can be used to analyze plane structures with small defects such as cracks and obtain results.
By using the tensor product of modified Hermitian wavelet shape functions, the plane Hermitian wavelet shape functions are constructed.
Scale functions of Hermitian wavelet shape functions can replace the polynomial shape functions to construct new wavelet plane elements.
As the scale of the shape functions increases, the precision of the new wavelet plane element will be improved.
The new Hermitian wavelet finite element method which can be used to simulate wave motion analysis can reveal the law of the wave motion in plane.
By using the results of transmitted and reflected wave motion, the cracks can be easily identified in plane.
The results show that the new Hermitian plane wavelet finite element method can use the fewer elements to simulate the plane structure effectively and accurately and detect the cracks in plane.
American Psychological Association (APA)
Xue, Xiaofeng& Wang, Xinhai& Wang, Zhen& Xue, Wei. 2020. Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method. Shock and Vibration،Vol. 2020, no. 2020, pp.1-21.
https://search.emarefa.net/detail/BIM-1210476
Modern Language Association (MLA)
Xue, Xiaofeng…[et al.]. Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method. Shock and Vibration No. 2020 (2020), pp.1-21.
https://search.emarefa.net/detail/BIM-1210476
American Medical Association (AMA)
Xue, Xiaofeng& Wang, Xinhai& Wang, Zhen& Xue, Wei. Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method. Shock and Vibration. 2020. Vol. 2020, no. 2020, pp.1-21.
https://search.emarefa.net/detail/BIM-1210476
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1210476