Coupled torsional-lateral-axial vibration analysis of a geared shaft system using substructure synthesis

A general model of multistage and multimesh geared shaft systems is proposed which takes into account the coupling effects between torsional, lateral and axial vibrations. The system can be divided into several substructures which are dynamically analysed using a finite element method. The boundary conditions at the nodes which are related to the engagement between a pair of gears are used to synthesise all of the substructures so that the first few eigenproperties of the global system can be obtained.