Science and Education Publishing American Journal of Mechanical Engineering 2328-4110 3 6 2015 12 17 Vibration Analysis of Flexible Structural Components 165 169 EN Juraj Šarloši Department of applied mechanics and mechanical engineering, Technical University, Košice, Slovakia Jozef Bocko AJME2015362 10.12691/ajme-3-6-2 2015 8 21 2015 11 16 2015 12 15 This article deals with the vibration analysis of flexible structural or mechanical components. The purpose of this article is to derive the general nonlinear differential equations of motion regarding the free vibration of flexible members of uniform and/or variable cross section along their length. Unique solution methodologies are developed that simplify the solution of very complex problems.