Analytical Solutions of Functionally Graded Curved Beams under an Arbitrarily Directed Single Force
Joint Authors
Zhang, Liangliang
Shang, Lange
Gao, Yang
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A functionally graded curved beam subjected to a shear tension force as well as a concentrated force at the free end is solved based on the inverse method, and a general two-dimensional solution is presented.
The explicit expressions are derived by assuming that the elastic properties within curved beams vary in the radial direction according to a power law, i.e., E = E0rn, but are constant across the depth.
After degenerating it into the isotropic homogeneous elastic cases, the results are in good consistency with existing analytical solutions.
The stresses and displacements are firstly observed in different forms in terms of the different power function exponent n.
These results will be useful as a guide for designing devices or as benchmark to assess other approximate methodologies.
American Psychological Association (APA)
Zhang, Liangliang& Shang, Lange& Gao, Yang. 2019. Analytical Solutions of Functionally Graded Curved Beams under an Arbitrarily Directed Single Force. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1195848
Modern Language Association (MLA)
Zhang, Liangliang…[et al.]. Analytical Solutions of Functionally Graded Curved Beams under an Arbitrarily Directed Single Force. Mathematical Problems in Engineering No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1195848
American Medical Association (AMA)
Zhang, Liangliang& Shang, Lange& Gao, Yang. Analytical Solutions of Functionally Graded Curved Beams under an Arbitrarily Directed Single Force. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1195848
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195848