tailieunhanh - Exact solution for whirling analysis of axial-loaded Timoshenko rotor using basic functions

In this paper, an analytical solution for whirling analysis of axial-loaded Timoshenko rotor is presented and corresponding basic functions are derived. The set of governing equations for whirling analysis of the rotor consists of four coupled partial differential equations; using complex displacements, these equations can be reduced to two coupled partial differential equations. | Exact solution for whirling analysis of axial-loaded Timoshenko rotor using basic functions Engineering Solid Mechanics 4 2016 97-108 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm Exact solution for whirling analysis of axial-loaded Timoshenko rotor using basic functions K. Torabi and H. Afshari Faculty of mechanical engineering University of Kashan Kashan Iran ARTICLE INFO ABSTRACT Article history In this paper an analytical solution for whirling analysis of axial-loaded Timoshenko rotor is Received 6 April 2015 presented and corresponding basic functions are derived. The set of governing equations for Accepted 24 November 2015 whirling analysis of the rotor consists of four coupled partial differential equations using Available online complex displacements these equations can be reduced to two coupled partial differential 25 November 2015 Keywords equations. The versatility of the proposed solution is confirmed using published results and the Basic functions effect of angular velocity of spin axial load slenderness and Poisson s ratio on the natural Whirling analysis frequencies of the rotor are investigated. Timoshenko rotor Axial load 2016 Growing Science Ltd. All rights reserved. 1. Introduction The Rotor Dynamics is concerned with study of dynamic and stability characteristics of the rotating machineries and plays an important role in the improving safety and performance of the systems. As the rotational velocity of a rotor increases its level of vibration often passes through critical speeds commonly excited by unbalance of the rotating structure. If the amplitude of vibration at these critical speeds is excessive catastrophic failure can occur. Axial loads have significant effect on dynamic characteristics of structures. In the case of rotors axial force can be generated by several types of gears or thermal effects. Some practical applications of rotor dynamics can be listed as rotating shafts .