Proceedings of the 2018 7th International Conference on Energy, Environment and Sustainable Development (ICEESD 2018)

A transfer matrix of free vibration for exponentially functionally graded beams

Authors
Kesheng Zhang, Jianpeng Sun, Qiang Zhang
Corresponding Author
Kesheng Zhang
Available Online May 2018.
DOI
10.2991/iceesd-18.2018.233How to use a DOI?
Keywords
Functionally graded beams, Exponential gradient, Natural frequency, Free vibration
Abstract

For analyzing the free vibration of exponentially functionally graded beams a transfer matrix has been developed. The transfer matrixes of exponentially functionally graded beams which need the loop iteration are derived in closed form. The proposed transfer matrix based on the Taylor series expansion. In this study, the precise integration operations are applied and the governing differential equations and the boundary conditions of the system are transformed into a set of algebraic equations in terms of the differential transforms of the original functions. The free vibration of the exponentially functionally graded beams with general boundary conditions is computed with the proposed transfer matrix. Various numerical examples are investigated.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2018 7th International Conference on Energy, Environment and Sustainable Development (ICEESD 2018)
Series
Advances in Engineering Research
Publication Date
May 2018
ISBN
978-94-6252-503-0
ISSN
2352-5401
DOI
10.2991/iceesd-18.2018.233How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Kesheng Zhang
AU  - Jianpeng Sun
AU  - Qiang Zhang
PY  - 2018/05
DA  - 2018/05
TI  - A transfer matrix of free vibration for exponentially functionally graded beams
BT  - Proceedings of the 2018 7th International Conference on Energy, Environment and Sustainable Development (ICEESD 2018)
PB  - Atlantis Press
SP  - 1266
EP  - 1272
SN  - 2352-5401
UR  - https://doi.org/10.2991/iceesd-18.2018.233
DO  - 10.2991/iceesd-18.2018.233
ID  - Zhang2018/05
ER  -