A semi-analytical solution for free vibration analysis of a step beam with multiple concentrated masses using variational iteration method.

Autor: Torabi, Keivan, Sharifi, Davoud, Ghassabi, Masood
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Zdroj: International Journal for Computational Methods in Engineering Science & Mechanics; 2021, Vol. 22 Issue 4, p333-343, 11p
Abstrakt: Vibrational characteristic in structures that can be modeled as several concentrated masses on the beam are of great interest. In this article, variational iteration method (VIM) is used to find a semi-analytical solution for the transverse vibration of an Euler–Bernoulli beam carrying concentrated masses and also to close the condition of the problem into real boundary conditions wherein the cross-sectional changes are applied at points where there is concentrated mass. In order to achieve the Lagrange multiplier, in addition to using variational theory and stationary conditions, a simple polynomial is considered for the initial approximation. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index