Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending
Joint Authors
Ding, Jun
Chen, Song
Huang, Xia
Wei-Bin, Wen
Shao-Ming, Luo
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
A novel numerical manifold method was derived from the cubic B-spline basis function.
The new interpolation function is characterized by high-order coordination at the boundary of a manifold element.
The linear elastic-dynamic equation used to solve the bending vibration of thin plates was derived according to the principle of minimum instantaneous potential energy.
The method for the initialization of the dynamic equation and its solution process were provided.
Moreover, the analysis showed that the calculated stiffness matrix exhibited favorable performance.
Numerical results showed that the generalized degrees of freedom were significantly fewer and that the calculation accuracy was higher for the manifold method than for the conventional finite element method.
American Psychological Association (APA)
Ding, Jun& Chen, Song& Wei-Bin, Wen& Shao-Ming, Luo& Huang, Xia. 2014. Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1049948
Modern Language Association (MLA)
Ding, Jun…[et al.]. Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending. The Scientific World Journal No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1049948
American Medical Association (AMA)
Ding, Jun& Chen, Song& Wei-Bin, Wen& Shao-Ming, Luo& Huang, Xia. Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1049948
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049948