Dynamic Buckling of a FGM Euler-Bernoulli Beam under Thermal Shock via Symplectic Method

DOI

10.2991/icmce-14.2014.46How to use a DOI?

Keywords

Euler-Bernoulli Beam, FGMs, Thermal Shock, Symplectic Method, Dynamic Buckling

Abstract

Based on Euler-Bernoulli beam theory, the dynamic buckling of a functionally graded beam subjected to thermal shock is investigated in the Symplectic space. The boundaries of the FGM beam are simply supported at one end, and the other is clamped. The dynamic buckling problem is reduced to zero-eigenvalue problem. The buckling mode and critical thermal axial forces can be obtained through bifurcation condition, and the critical temperature rise of the functionally graded beam is obtained by inverse solution.

Copyright

© 2014, 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  - Jing-Hua ZHANG
AU  - Xing-Xing ZHAO
PY  - 2014/12
DA  - 2014/12
TI  - Dynamic Buckling of a FGM Euler-Bernoulli Beam under Thermal Shock via Symplectic Method
BT  - Proceedings of the 2014 International Conference on Mechanics and Civil Engineering
PB  - Atlantis Press
SP  - 263
EP  - 267
SN  - 2352-5401
UR  - https://doi.org/10.2991/icmce-14.2014.46
DO  - 10.2991/icmce-14.2014.46
ID  - ZHANG2014/12
ER  -