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A Study on the Structural Behaviour of AFG Non-uniform Plates on Elastic Foundation: Static and Free Vibration Analysis

Lohar, Hareram / Mitra, Anirban / Sahoo, Sarmila

Abstract Plate on elastic foundation is an important realization of actual boundary condition of structures. The present paper studies the effect of the stiffness value of the elastic foundation on large deflection and free vibration of AFG non-uniform plate. Governing set of equation of the system is obtained by energy principle through variational method. Derived nonlinear equations are handled through utilizing an iterative method, which is direct substitution method. The effects of the elastic foundations are represented through load versus maximum deflection plot, deflected shape plot and backbone curves. The effects of the edged boundary conditions and non-uniformity of the plate shape are also highlighted.

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A Study on the Structural Behaviour of AFG Non-uniform Plates on Elastic Foundation: Static and Free Vibration Analysis

Lohar, Hareram / Mitra, Anirban / Sahoo, Sarmila

Abstract Plate on elastic foundation is an important realization of actual boundary condition of structures. The present paper studies the effect of the stiffness value of the elastic foundation on large deflection and free vibration of AFG non-uniform plate. Governing set of equation of the system is obtained by energy principle through variational method. Derived nonlinear equations are handled through utilizing an iterative method, which is direct substitution method. The effects of the elastic foundations are represented through load versus maximum deflection plot, deflected shape plot and backbone curves. The effects of the edged boundary conditions and non-uniformity of the plate shape are also highlighted.

A Study on the Structural Behaviour of AFG Non-uniform Plates on Elastic Foundation: Static and Free Vibration Analysis

Lohar, Hareram / Mitra, Anirban / Sahoo, Sarmila

Abstract Plate on elastic foundation is an important realization of actual boundary condition of structures. The present paper studies the effect of the stiffness value of the elastic foundation on large deflection and free vibration of AFG non-uniform plate. Governing set of equation of the system is obtained by energy principle through variational method. Derived nonlinear equations are handled through utilizing an iterative method, which is direct substitution method. The effects of the elastic foundations are represented through load versus maximum deflection plot, deflected shape plot and backbone curves. The effects of the edged boundary conditions and non-uniformity of the plate shape are also highlighted.

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Titel:

A Study on the Structural Behaviour of AFG Non-uniform Plates on Elastic Foundation: Static and Free Vibration Analysis

Beteiligte:

Lohar, Hareram (Autor:in) / Mitra, Anirban (Autor:in) / Sahoo, Sarmila (Autor:in)

Erschienen in:

Advances in Materials, Mechanical and Industrial Engineering ; 337-356

Lecture Notes on Multidisciplinary Industrial Engineering

Erscheinungsdatum:

01.01.2019

Format / Umfang:

20 pages

ISBN:

978-3-319-96968-8 , 978-3-319-96967-1

ISSN:

2522-5022 , 2522-5030

DOI:

https://doi.org/10.1007/978-3-319-96968-8_16

Medientyp:

Aufsatz/Kapitel (Buch)

Format:

Elektronische Ressource

Sprache:

Englisch

Schlagwörter:

Large deflection , Free vibration , AFG plate , Elastic foundation , Minimum potential energy principle , Hamilton principle , Direct substitution method Engineering , Mechanical Engineering , Industrial and Production Engineering , Materials Engineering

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