On the application of polynomial and NURBS functions for nonlocal response of low dimensional structures

Autor:	Natarajan, S., Rabczuk, T., Bordas, S., Mahapatra, D. Roy
Rok vydání:	2012
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	In this paper, the axial vibration of cracked beams, the free flexural vibrations of nanobeams and plates based on Timoshenko beam theory and first-order shear deformable plate theory, respectively, using Eringen's nonlocal elasticity theory is numerically studied. The field variable is approximated by Lagrange polynomials and non-uniform rational B-splines. The influence of the nonlocal parameter, the beam and the plate aspect ratio and the boundary conditions on the natural frequency is numerically studied. The influence of a crack on axial vibration is also studied. The results obtained from this study are found to be in good agreement with those reported in the literature. Comment: 29 pages, 6 tables, 10 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1203.3872 Zobrazit plný text záznamu View this record from Arxiv