Modelling and modal analysis of a hoist equipped with two-stage planetary gear transmission system

The connection between a gear pair is commonly treated as constant stiffness in the literature of planetary gear transmission dynamics, leading to inaccurate results. Based on the theory of viscoelastic contact, according to low speed or stationary gear pairs have the characteristics of small relative sliding velocity, viscoelastic contact method is proposed to solve this problem. A hoist equipped with two-stage planetary gear reducer is used as research object to investigate the dynamic properties. The natural frequencies and corresponding vibration modes of this planetary gear transmission system are presented. Accordingly, the natural frequencies are recognized using operational modal analysis under ambient excitation, and the experimental studies are in close agreement with theoretical expectation. In addition, the dynamic behaviours of this planetary gear train are investigated.

[1]  K. Johnson.  Contact Mechanics: Frontmatter , 1985 .

[2]  Ahmet Kahraman,et al.  Natural Modes of Planetary Gear Trains , 1994 .

[3]  Homer Rahnejat,et al.  Contact characteristics of viscoelastic bonded layers , 1998 .

[4]  Joseph L. Stout,et al.  Modeling and Analysis of Powertrain Torsional Response , 1998 .

[5]  L. Keer,et al.  A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques , 1999 .

[6]  Homer Rahnejat,et al.  Characteristics of frictionless contact of bonded elastic and viscoelastic layered solids , 1999 .

[7]  J. Barbera,et al.  Contact mechanics , 1999 .

[8]  Pietro Bellomo,et al.  Innovative Vehicle Powertrain Systems Engineering: Beating the Noisy Offenders in Vehicle Transmissions , 2000 .

[9]  Sheng Zeng,et al.  Novel method for minimizing track seeking residual vibrations of hard disk drives , 2001 .

[10]  Ahmet Kahraman,et al.  Free torsional vibration characteristics of compound planetary gear sets , 2001 .

[11]  Jose M. del Castillo.  The analytical expression of the efficiency of planetary gear trains , 2002 .

[12]  Paul Sas,et al.  Flexible multibody model of a three-stage planetary gearbox in a wind turbine , 2004 .

[13]  Fatin F. Mahmoud,et al.  An Incremental Adaptive Procedure for Viscoelastic Contact Problems , 2006 .

[14]  Robert G. Parker,et al.  Sensitivity of General Compound Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters , 2010 .

[15]  Robert G. Parker,et al.  Nonlinear Dynamics of Planetary Gears Using Analytical and Finite Element Models , 2007 .

[16]  Robert G. Parker,et al.  Purely rotational model and vibration modes of compound planetary gears , 2010 .

[17]  Homer Rahnejat,et al.  Transmission efficiency and noise, vibration and harshness refinement of differential hypoid gear pairs , 2014 .

[18]  Homer Rahnejat,et al.  Dynamics and efficiency of planetary gear sets for hybrid powertrains , 2016 .

[19]  Homer Rahnejat,et al.  Combined experimental and flexible multi-body dynamic investigation of high-energy impact-induced driveline vibration , 2017 .