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

Calim, Faruk Firat

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.

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

Calim, Faruk Firat

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.

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

Calim, Faruk Firat

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.

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Titel:

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

Weitere Titelangaben:

Iran J Sci Technol Trans Civ Eng

Beteiligte:

Calim, Faruk Firat (Autor:in)

Erschienen in:

Iranian Journal of Science and Technology, Transactions of Civil Engineering ; 44 ; 901-920

Erscheinungsdatum:

01.09.2020

Format / Umfang:

20 pages

ISSN:

2364-1843 , 2228-6160

DOI:

https://doi.org/10.1007/s40996-019-00283-x

Medientyp:

Aufsatz (Zeitschrift)

Format:

Elektronische Ressource

Sprache:

Englisch

Schlagwörter:

Inverse Laplace transform , Elastic foundation , Functionally graded beam , Dynamic response Engineering , Civil Engineering

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