VIBRATION ANALYSIS OF EULER-BERNOULLI BEAM BASED ON THE VARIATIONAL ITERATION METHOD
H Ozer, None None
proceeding (Uluslararası, Hakemli) | Yazar(lar): H Ozer, None None | Yıl: 2010 | Dergi/Kurum: PROCEEDINGS OF THE 17TH INTERNATIONAL CONGRESS ON SOUND AND VIBRATION | İndeks: WOS.ISTP — Özet: The variational iteration method has been attracted much attention of researchers as a promising method for solving linear and no
The variational iteration method has been attracted much attention of researchers as a promising method for solving linear and nonlinear differential equations. This study presents a way of using the variational iteration method (VIM) to solve free vibration problems of uniform Euler-Bernoulli beams. The method depends on constructing a correction functional by a general Lagrange multiplier. An example is given to illustrate the accuracy and efficiency of the present method. Each iteration step gives a direct approximate solution to the problem. It is verified that the method is a powerful mathematical tool to get the solutions easily by reducing the volume of calculations.