Dynamic analysis of nonlocal-gradient elastic nano-beams resting on an elastic foundation

DOI

10.2991/icmse-15.2015.3How to use a DOI?

Keywords

nano-beams, dynamic analysis, nonlocal elasticity theory, strain gradient theory, elastic foundation.

Abstract

Dynamic analysis of nonlocal-gradient elastic nano-beams resting on an elastic foundation is investigated in this paper. The nonlocal-gradient elastic beam model, which has two independent gradient coefficients, based on the classical nonlocal elasticity theory and strain gradient theory, can be interpreted the size effect. By employing Galerkin method, the nonlinear partial differential governing equation is decoupled into a set of nonlinear ordinary differential equations which are then solved using Runge-Kutta method. Influence of elastic foundation coefficients and two independent gradient coefficients on the dynamic response of the nano-beam are investigated.

Copyright

© 2015, 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  - Jianshe Peng
AU  - Liu Yang
AU  - Fan Lin
PY  - 2015/12
DA  - 2015/12
TI  - Dynamic analysis of nonlocal-gradient elastic nano-beams resting on an elastic foundation
BT  - Proceedings of the 2015 6th International Conference on Manufacturing Science and Engineering
PB  - Atlantis Press
SP  - 16
EP  - 19
SN  - 2352-5401
UR  - https://doi.org/10.2991/icmse-15.2015.3
DO  - 10.2991/icmse-15.2015.3
ID  - Peng2015/12
ER  -