TY - JOUR A2 - Coskun, Safa Bozkurt AU - Mao, Qibo PY - 2013 DA - 2013/03/24 TI - Application of Adomian Modified Decomposition Method to Free Vibration Analysis of Rotating Beams SP - 284720 VL - 2013 AB - The Adomian modified decomposition method (AMDM) is employed in this paper for dynamic analysis of a rotating Euler-Bernoulli beam under various boundary conditions. Based on AMDM, the governing differential equation for the rotating beam becomes a recursive algebraic equation. By using the boundary condition equations, the dimensionless natural frequencies and corresponding mode shapes can be easily obtained simultaneously. The computed results for different boundary conditions as well as different offset length and rotational speeds are presented. The accuracy is assured from the convergence and comparison published results. It is shown that the AMDM offers an accurate and effective method of free vibration analysis of rotating beams with arbitrary boundary conditions. SN - 1024-123X UR - https://doi.org/10.1155/2013/284720 DO - 10.1155/2013/284720 JF - Mathematical Problems in Engineering PB - Hindawi Publishing Corporation KW - ER -