Vibration Analysis of Gear Drive System Based on Whole Transfer Matrix Method

2013 ◽  
Vol 340 ◽  
pp. 69-74 ◽  
Author(s):  
Feng Jun Lv
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Vibration Analysis ◽  
Rotor System ◽  
Drive System ◽  
Accurate Calculation ◽  
Vibration Equation ◽  
Numerical Example ◽  
Gear Drive

Gear drive system is a complex rotor system through the gears, couplings and others connected. According to the vibration equation of the gear drive system, using the whole transfer matrix method, gear meshing force is analyzed and the whole transfer matrix of meshing gears is deduced. Numerical example shows that the whole transfer matrix method is applied to the vibration analysis of gear drive system has the advantages of convenient modeling, and accurate calculation.

Dynamic Analysis of Geared Rotor-Bearing Systems by the Transfer Matrix Method

1995 ◽  
Author(s):  
Siu-Tong Choi ◽  
Sheng-Yang Mau
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Vibration Analysis ◽  
Transmission Error ◽  
Mode Shapes ◽  
Rotor Systems ◽  
Gear Mesh ◽  
Mass Unbalance ◽  
Rotor Bearing

Abstract In this paper, an analytical study of the dynamic characteristics of geared rotor-bearing systems by the transfer matrix method is presented. Rotating shafts are modeled as Timoshenko beam with shear deformation and gyroscopic effects taken into account. The gear mesh is modeled as a pair of rigid disks connected by a spring-damper set and a transmission-error exciter. The transfer matrix of a gear mesh is developed. The coupling motions of the lateral and torsional vibration are studied. In free vibration analysis of geared rotor systems, natural frequencies and corresponding mode shapes, and the whirl frequencies under different spin speeds are determined. Effects of bearing stiffness, isotropic and orthotropic bearings, pressure angle of the gear mesh are studied. In steady-state vibration analysis, responses due to the excitation of mass unbalance and the transmission error are studied. Parametric characteristics of geared rotor systems are discussed.

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