Finite element model of a double-stage helical gear reduction.

The primary goal of this research involves the description and creation of an analytical finite element model of a double-stage helical gear reduction. This model is used to gain additional insight into the vibration generation tha t results from helical gear meshing action. The model is also used to perform a limited number of parametric studies. The principal results from a 3D ANSYS partial helical gear model are the static transmission error and torsional mesh stiffness. These two outputs are used as the main inputs into a finite element analytical MATLAB model. In MATLAB, the finite element modelling approach is combined with the torsional-translational gear dynamic model to obtain an overall system model. Output shaft angle has negligible effect on the system’s dynamic transmission errors and bearing forces (amplitudes and natural frequencies) while the shaft element length, bearing stiffness and gear positioning effects are significant.

[1]  Jiande Wang,et al.  Numerical and Experimental Analysis of Spur Gears in Mesh , 2003 .

[2]  Zeping Wei,et al.  Stresses and deformations in involute spur gears by finite element method , 2004 .

[3]  Donald R. Houser,et al.  Mathematical models used in gear dynamics—A review , 1988 .

[4]  Wan-Suk Yoo,et al.  Deformation overlap in the design of spur and helical gear pair , 2004 .

[5]  Anand Parey,et al.  Spur gear dynamic models including defects: A review , 2003 .

[6]  Rajendra Singh,et al.  MULTI-BODY DYNAMICS AND MODAL ANALYSIS OF COMPLIANT GEAR BODIES , 1998 .

[7]  Sandro Barone,et al.  Evaluation of the effect of misalignment and profile modification in face gear drive by a finite element meshing simulation , 2004 .

[8]  Ian Howard,et al.  Finite Element Analysis of High Contact Ratio Spur Gears in Mesh , 2005 .

[9]  B Nelson Norden,et al.  On the compression of a cylinder in contact with a plane surface , 1973 .

[10]  Darryll J. Pines,et al.  The Influence of Gear Design Parameters on Gear Tooth Damage Detection Sensitivity , 2002 .

[11]  Ahmet Kahraman,et al.  Influence of tooth profile modification on helical gear durability , 2002 .

[12]  Anette Andersson,et al.  A dynamic model to determine vibrations in involute helical gears , 2003 .

[13]  Donald R. Houser,et al.  Dynamic analysis of geared rotors by finite elements , 1992 .

[14]  Chung-Biau Tsay,et al.  Contact Ratios and Transmission Errors of a Helical Gear Set with Involute-Teeth Pinion and Modified-Circular-Arc-Teeth Gear , 2001 .

[15]  K. Urlichs,et al.  Dynamic Gear Loads Due to Coupled Lateral, Torsional and Axial Vibrations in a Helical Geared System , 1999 .

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

[17]  Sondipon Adhikari,et al.  Damping modelling using generalized proportional damping , 2006 .