Study of gyroscopic effects on the dynamics and vibrations of double-helical planetary gear set

Abstract

Gyroscopic effects may change the stability, dynamic behaviour and vibratory responses of the systems at high-speed applications in a significant manner. In this study, a new linear time-invariant lumped mass model in three-dimensional space is developed with a high emphasis on gyroscopic effects for a double-helical planetary gear system. In the developed model, each member has six degrees of freedom where both the mesh and the bearing stiffness are considered. The forced responses, due to gear mesh transmission error excitations, are calculated through the modal summation technique. The natural modes are extracted from the corresponding eigenvalue problem for the undamped system. The obtained results indicate the reduction in most of the natural frequencies by applying the gyroscopic effects in double-helical planetary gear systems. By considering the gyroscopic effects in this newly proposed model, the root mean square (RMS) amplitudes of vibration are changed in different directions. To verify this developed model and solution method, the obtained natural frequencies and forced responses are compared with those obtained in other studies.

Research on the dynamic performance of double-helical planetary gear transmission under friction and wear

“…With the development of mechanics theory and the advancement of experimental measurement techniques, the theoretical foundation of the dynamics of herringbone gear transmission systems has become increasingly refined. Khoozani et al 4 proposed a lumped parameter model for herringbone PGT systems considering the gyroscopic effect, studying the inherent characteristics of these gear systems. Shuai et al 5 established a dynamic model for herringbone PGT systems, investigating the influence of sun gear float characteristics on the system's dynamic behavior.…”

Modal properties of a two-stage planetary gear system with a Timoshenko beam as the intermediate shaft model

“…Tang et al 17 studied the natural frequencies and corresponding modes of a compound planetary gear for a hybrid driveline. Khoozani et al 18 studied a double-helical planetary gear system with gyroscopic effects, and the natural frequencies were compared with forced responses to verify the model and method. Tatar et al 19 established a basic planetary geared rotor system with gyroscopic effects.…”

Dynamic behaviour of three-dimensional planetary geared rotor systems

“…A main focus of current research is the dynamic modelling and analysis of planetary gearboxes with different configurations such as single stage [5][6][7][8], two stages [9,10], multiple stages [11][12][13][14][15][16], compound [17][18][19][20] and double helical [21][22][23][24][25] sets. Two main dynamic modelling approaches, flexible and rigid body models, have been employed by researchers.…”

“…This enables the analysis of helical planetary gear sets in which axial gear mesh forces can occur. Furthermore, dynamic models for double-helical planetary gear sets have been developed using the three dimensional model approach [22][23][24][25]33]. Dynamic analyses of three-dimensional models have also been conducted with gyroscopic effects [7,10,25].…”