The Dynamic Mechanical Analysis of a Clamped-Free Timoshenko Nano-Beam Subjected to the Moving Force the Nonlocal Effects

Abstract:

Based on nonlocal beam theories, the dynamic mechanical behavior of a clamped-free Timoshenko nano-beam subjected to a variable speed moving force are studied in this paper. The analytical solution of differential equation is obtained using state-space method. The effects of the nonlocal stress and the magnitude of the moving force acceleration on the dynamic responses of the nano-beam are discussed in detail. The results indicate that nonlocal effects and moving force acceleration play a significant role on the dynamic mechanical response of nano-beam.

• Periodical: Advanced Materials Research (Volume 1119)
• Pages: 86-89
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1119.86
• Online since: July 2015
• Authors: Dong Xia Lei, Zhan Lei Huo, Zhi Ying Ou*
• Keywords: Clamped-Free Nano-Beam, Dynamic Response, Moving Force, Nonlocal Theories, Timoshenko

References

[1] C.P. Tan and S. Shore, Dynamic Response of a Horizontally Curved Bridge, J . ASCE Journal of the Structural Division. 94(1986)761-781.

DOI: 10.1061/jsdeag.0001915

[2] J.N. Reddy, Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates, J. Engineering Science. 48(2010)1507-1518.

DOI: 10.1016/j.ijengsci.2010.09.020

[3] J.N. Reddy, Nonlocal theories for bending, buckling and vibration of beams, J. International Journal of Engineering. 45(2007)288-307.

DOI: 10.1016/j.ijengsci.2007.04.004

[4] S.H. Shen, Nonlocal plate model for nonlinear analysis of thin films on elastic foundations in thermal environments, J. Composite Structures. 93(2011)1143-1152.

DOI: 10.1016/j.compstruct.2010.10.009

[5] A.C. Eringen, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, J. Journal of Applied Physics. 54(1983)4703-4710.

DOI: 10.1063/1.332803

[6] A.C. Eringen, Theory of nonlocal thermoelasticity, J. Engineering Science. 12(1974)1063-1077.

[7] M.A. Foda, A dynamic Green function formulation for the response of a beam structure to a moving mass, J. Journal of Sound and Vibration. 210(1988)295-306.

DOI: 10.1006/jsvi.1997.1334

[8] A.V. Pesterev, An improved series expansion of the solution to the moving oscillator problem, J. Journal of Vibration and Acoustics. 122(2000)54-61.

DOI: 10.1115/1.568436

[9] S.S. Law, Study on different beam models moving force identification, J. Journal of Sound and Vibration. 234(2000)661-679.

DOI: 10.1006/jsvi.2000.2867

[10] S. Sahmani, Nonlocal beam models for buckling of nanobeams using state-space method regarding different boundary conditions, J. Journal of Mechanical Science and Technology. 25(2011)2365-2375.

DOI: 10.1007/s12206-011-0711-6

[11] F.F. Mahmoud, Static analysis of nanobeams including surface effects by nonlocal finite element, J. Journal of Mechanical Science and Technology. 26(2012)3555-3563.

DOI: 10.1007/s12206-012-0871-z