Vibration Analysis of Functionally Graded Timoshenko Beams on Winkler–Pasternak Elastic Foundation

This paper aims to analyze dynamic response of axially functionally graded (FG) Timoshenko beams on Winkler–Pasternak elastic foundation. Spring constant and material inhomogeneity are used as research parameters in the dynamic analysis. In this study, ODEs in Laplace domain are calculated by using...

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Bibliographic Details
Published in:Iranian journal of science and technology. Transactions of civil engineering 2020-09, Vol.44 (3), p.901-920
Main Author: Calim, Faruk Firat
Format: Article
Language:English
Subjects:
Civil Engineering
Engineering
Research Paper
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Summary:This paper aims to analyze dynamic response of axially functionally graded (FG) Timoshenko beams on Winkler–Pasternak elastic foundation. Spring constant and material inhomogeneity are used as research parameters in the dynamic analysis. In this study, ODEs in Laplace domain are calculated by using complementary functions method. The analysis is performed in the Laplace domain, and calculations are converted to the time domain by using Durbin’s algorithm. The effects of material gradient index, translational and rotational spring constants, slenderness ratio, different boundary conditions and impulsive loads on the dynamic response of FG Timoshenko beams are investigated.
ISSN:2228-6160
2364-1843
DOI:10.1007/s40996-019-00283-x