A finite element formulation for the dynamic response of gear pairs is proposed. Following an established approach in lumped parameter gear dynamic models, the static solution is used as the excitation in a frequency domain solution of the finite element vibration model. The nonlinear finite element/contact mechanics formulation provides an accurate calculation of the static solution and average mesh stiffness that are used in the dynamic simulation. The frequency domain finite element calculation of dynamic response compares well with numerically integrated (time domain) finite element dynamic results and previously published experimental results. Simulation time with the proposed formulation is two orders of magnitude lower than numerically integrated dynamic results. This formulation admits system level dynamic gearbox response, which may include multiple gear meshes, flexible shafts, rolling element bearings, housing structures, and other deformable components.
Skip Nav Destination
e-mail: parker.242@osu.edu
Article navigation
August 2011
Research Papers
A Frequency Domain Finite Element Approach for Three-Dimensional Gear Dynamics
Christopher G. Cooley,
Christopher G. Cooley
The Ohio State University
, Columbus, OH 43210
Search for other works by this author on:
Robert G. Parker,
e-mail: parker.242@osu.edu
Robert G. Parker
The Ohio State University
, Columbus, OH 43210; Distinguished Professor Chair, State Key Laboratory for Mechanical Systems and Vibration, University of Michigan–Shanghai Jiao Tong University Joint Institute
, 200240, Shanghai, China
Search for other works by this author on:
Sandeep M. Vijayakar
Sandeep M. Vijayakar
Advanced Numerical Solutions, LLC
, Hilliard, OH 43026
Search for other works by this author on:
Christopher G. Cooley
The Ohio State University
, Columbus, OH 43210
Robert G. Parker
The Ohio State University
, Columbus, OH 43210; Distinguished Professor Chair, State Key Laboratory for Mechanical Systems and Vibration, University of Michigan–Shanghai Jiao Tong University Joint Institute
, 200240, Shanghai, Chinae-mail: parker.242@osu.edu
Sandeep M. Vijayakar
Advanced Numerical Solutions, LLC
, Hilliard, OH 43026J. Vib. Acoust. Aug 2011, 133(4): 041004 (9 pages)
Published Online: April 6, 2011
Article history
Received:
January 1, 2010
Revised:
September 27, 2010
Online:
April 6, 2011
Published:
April 6, 2011
Citation
Cooley, C. G., Parker, R. G., and Vijayakar, S. M. (April 6, 2011). "A Frequency Domain Finite Element Approach for Three-Dimensional Gear Dynamics." ASME. J. Vib. Acoust. August 2011; 133(4): 041004. https://doi.org/10.1115/1.4003399
Download citation file:
Get Email Alerts
Boundary-Element Analysis of the Noise Scattering for Urban Aerial Mobility Vehicles: Solver Development and Assessment
J. Vib. Acoust (October 2024)
Related Articles
Finite Element Analysis of High Contact Ratio Spur Gears in Mesh
J. Tribol (July,2005)
Dynamic Analysis of a Multi-Shaft Helical Gear Transmission by Finite Elements: Model and Experiment
J. Vib. Acoust (July,2004)
Nonlinear Dynamic Modeling of Gear-Shaft-Disk-Bearing Systems Using Finite Elements and Describing Functions
J. Mech. Des (May,2004)
Dynamic Response of a Planetary Gear System Using a Finite Element/Contact Mechanics Model
J. Mech. Des (September,2000)
Related Proceedings Papers
Related Chapters
Introduction I: Role of Engineering Science
Fundamentals of heat Engines: Reciprocating and Gas Turbine Internal Combustion Engines
Fea on the Edge Effect and Longitudinal Modification of Involute Spur Cylindrical Gear Pair Used in Timing Transmission System of Automobile
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
Development of New Process and Product Monitoring Technologies for the Manufacturing of High Value Alloy Steels for Use in Critical Applications
Bearing and Transmission Steels Technology