Title :
Notice of Retraction
Semi-analytic approach for the nonlinear vibration analysis of beams
Author :
Canchang Liu ; Jianshe Peng
Author_Institution :
Sch. of Transp. & Vehicle Eng., Shandong Univ. of Technol., Zibo, China
Abstract :
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
A new semi-analytic perturbation differential quadrature method was presented for geometrically nonlinear vibration analysis for Euler-Bernoulli beams. The non-linear governing equation were transformed into a linear differential equations system through the using of the Linstedt-Poincaré perturbation method, which were then solved by using the differential quadrature approximation in the space domain and an analytic series in the time domain. The present method is validated against the existing perturbation solutions in several comparison examples for simply supported beams. The numerical example shows that the proposed method possesses excellent convergence and accuracy.
Keywords :
approximation theory; beams (structures); convergence of numerical methods; integration; linear differential equations; vibrations; Euler-Bernoulli beam; Linstedt-Poincare perturbation method; analytic series; differential quadrature approximation; linear differential equation system; nonlinear vibration analysis; semianalytic perturbation differential quadrature method; Equations; beam; nonliear vibration; semi-analytic Approach; the differential quadrature method;
Conference_Titel :
Computer, Mechatronics, Control and Electronic Engineering (CMCE), 2010 International Conference on
Conference_Location :
Changchun
Print_ISBN :
978-1-4244-7957-3
DOI :
10.1109/CMCE.2010.5610225
