Exact Static Analysis of In-Plane Curved Timoshenko Beams with Strong Nonlinear Boundary Conditions
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-29
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Analytical solutions have been developed for nonlinear boundary problems.
In this paper, the shifting function method is applied to develop the static deflection of in-plane curved Timoshenko beams with nonlinear boundary conditions.
Three coupled governing differential equations are derived via the Hamilton’s principle.
The mathematical modeling of the curved beam system can be decomposed into a complete sixth-order ordinary differential characteristic equation and the associated boundary conditions.
It is shown that the proposed method is valid and performs well for problems with strong nonlinearity.
American Psychological Association (APA)
Lee, Sen-Yung& Yan, Qian-Zhi. 2015. Exact Static Analysis of In-Plane Curved Timoshenko Beams with Strong Nonlinear Boundary Conditions. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1074379
Modern Language Association (MLA)
Lee, Sen-Yung& Yan, Qian-Zhi. Exact Static Analysis of In-Plane Curved Timoshenko Beams with Strong Nonlinear Boundary Conditions. Mathematical Problems in Engineering No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1074379
American Medical Association (AMA)
Lee, Sen-Yung& Yan, Qian-Zhi. Exact Static Analysis of In-Plane Curved Timoshenko Beams with Strong Nonlinear Boundary Conditions. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1074379
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074379