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Closed-Form Solutions for Gradient Elastic Beams with Geometric Discontinuities by Laplace Transform
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-21
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The static bending solution of a gradient elastic beam with external discontinuities is presented by Laplace transform.
Its utility lies in the ability to switch differential equations to algebraic forms that are more easily solved.
A Laplace transformation is applied to the governing equation which is then solved for the static deflection of the microbeam.
The exact static response of the gradient elastic beam with external discontinuities is obtained by applying known initial conditions when the others are derived from boundary conditions.
The results are given in a series of figures and compared with their classical counterparts.
The main contribution of this paper is to provide a closed-form solution for the static deflection of microbeams under geometric discontinuities.
American Psychological Association (APA)
Yayli, Mustafa Özgür. 2013. Closed-Form Solutions for Gradient Elastic Beams with Geometric Discontinuities by Laplace Transform. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1008491
Modern Language Association (MLA)
Yayli, Mustafa Özgür. Closed-Form Solutions for Gradient Elastic Beams with Geometric Discontinuities by Laplace Transform. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1008491
American Medical Association (AMA)
Yayli, Mustafa Özgür. Closed-Form Solutions for Gradient Elastic Beams with Geometric Discontinuities by Laplace Transform. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1008491
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008491