Vibrations of nonlocal Timoshenko beams using orthogonal collocation method
Journal
Procedia Engineering
Journal Volume
14
Pages
2394-2402
Date Issued
2011
Author(s)
Abstract
Abstract null null In this paper, orthogonal collocation method (OCM) is applied to solve the free vibration of nonlocal Timoshenko beams with various boundary conditions by using piecewise cubic Hermite polynomials (CHPs). In the numerical implementation, approximation solution and its space derivatives over the interval are approximated by the combination of the CHPs and unknown parameters. Through the generalized eigen-value problem analysis, the vibration frequencies of beams can be determined precisely. Form numerical analysis by using OCM sufficiently indicate that it has excellent convergence rate, and very close to analytical solutions.
Type
conference paper