Free damped spatial vibrations of axial fan

Abstract

This work presents a mechanic - mathematical matrix modelling of the free damped spatial vibra- tions of an axial fan. This fan is considered as a mechanical system which consists three rigid bodies and it has 18 degrees of freedom. The differential equations of the free damped vibrations are deduced. They take into account the mass, inertial, elastic, damping and geometric properties of this mechani- cal system. Computer algorithms for calculating of this axial fan, which are applicable for analysis and synthesis of its design, are developed. These algorithms are a prerequisite for the formation of the necessary performance properties of the fan and for compliance with the requirements of the standards regarding the influence of vibrations on the human body. Solutions are obtained for the free damped spatial vibrations at specific values of the mechanical system’s parameters.