Timoshenko beam model for the vibration analysis of a cracked nanobeam with surface energy

作者: Kaifa Wang , Baolin Wang

DOI: 10.1177/1077546313513054

关键词:

摘要: Free vibration of a cracked nanobeam with consideration surface energy and transverse shear deformation is studied. The simplified to system two segments joined by rotational spring located at the section. Numerical examples demonstrate that increases natural frequency beam. However, influence on becomes smaller for higher modes. In addition, effect more significant

参考文章(40)
H. Okamura, K. Watanabe, T. Takano, Applications of the Compliance Concept in Fracture Mechanics ASTM special technical publications. pp. 423- 438 ,(1973) , 10.1520/STP49655S
J. FERNÁNDEZ-SÁEZ, C. NAVARRO, FUNDAMENTAL FREQUENCY OF CRACKED BEAMS IN BENDING VIBRATIONS: AN ANALYTICAL APPROACH Journal of Sound and Vibration. ,vol. 256, pp. 17- 31 ,(2002) , 10.1006/JSVI.2001.4197
JA Loya, L Rubio, J Fernández-Sáez, None, Natural frequencies for bending vibrations of Timoshenko cracked beams Journal of Sound and Vibration. ,vol. 290, pp. 640- 653 ,(2006) , 10.1016/J.JSV.2005.04.005
K. F. Wang, B. L. Wang, Effects of residual surface stress and surface elasticity on the nonlinear free vibration of nanoscale plates Journal of Applied Physics. ,vol. 112, pp. 013520- ,(2012) , 10.1063/1.4733345
M. E. Gurtin, J. Weissmüller, F. Larché, A general theory of curved deformable interfaces in solids at equilibrium Philosophical Magazine A. ,vol. 78, pp. 1093- 1109 ,(1998) , 10.1080/01418619808239977
Gang-Feng Wang, Xi-Qiao Feng, Timoshenko beam model for buckling and vibration of nanowires with surface effects Journal of Physics D. ,vol. 42, pp. 155411- ,(2009) , 10.1088/0022-3727/42/15/155411
M. Krawczuk, M. Palacz, W. Ostachowicz, The dynamic analysis of a cracked Timoshenko beam by the spectral element method Journal of Sound and Vibration. ,vol. 264, pp. 1139- 1153 ,(2003) , 10.1016/S0022-460X(02)01387-1
Jin He, Carmen M Lilley, None, Surface Effect on the Elastic Behavior of Static Bending Nanowires Nano Letters. ,vol. 8, pp. 1798- 1802 ,(2008) , 10.1021/NL0733233
K.F. Wang, B.L. Wang, Vibration of nanoscale plates with surface energy via nonlocal elasticity Physica E-low-dimensional Systems & Nanostructures. ,vol. 44, pp. 448- 453 ,(2011) , 10.1016/J.PHYSE.2011.09.019