A transfer matrix of free vibration for exponentially functionally graded beams

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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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  -