Study On Whole Transfer Matrix Of Coupling Element In Gears Transmission System

For developing of modern industry, the rotary machine has a tendency of higher speed, higher power. Its structures become more complex contain multiple rotors. For gears meshing, bending vibration and torsion vibration are coupling in vehicle. Analysis on the dynamic character of rotors system is not limited in separated rotor. The frequency of coupling must be considered for the warning of loss of more important frequenciesThe whole transfer matrix method is suitable to analyze dynamics property of multi-rotor system that linked in line. Dynamics equations of gear pair are deduced here, the coupling element transfer matrix of spur gear, helical gear; bevel gear, cylinder gear; parallel axis, intersecting axis, crossed-axis, and so on various style rotor system are founded.The background of industry and technology of the topic in researching is explained, and the latest research state of lateral-bending vibration of vehicle gear-transmission system and the main analytic methods are synthesized. The dynamic equations are deduced based on the theories of gear construction in kinematics and dynamics of machinery, D'Alembert principle and Lagrange's equations in engineering mechanics, deformation of beams and shafts in applied strength of materials, analysis of vibration frequency and modal phase of multi-freedom system in vibration mechanics, attribute of gyratory torque in rotor dynamics. The helix angle of helical gear is introduced and the effects on the dynamic equations by the axial component of meshing force are considered, the coupling elements transfer matrix of spiral gear system and the crossed-axis rotor system's dynamic character of different helix angle helical gears is the main object to study, it takes point-connected style, the crossed-axis rotor system's dynamic character can be obtained. The transfer matrix of spur bevel gear meshing perpendicular transmission system and the effect of different cone-apex angle on coupling crisis speeds is analyzed. The transfer matrix of spiral bevel gear meshing intersecting axes transmission system and the effect of different axial angle on lateral and torsion coupling crisis speeds is analyze by calculation program.