A one degree of freedom model is set up which incorporates time-varying mesh stiffness functions and the influence of unsteady input rotations due to engine acyclism. In order to investigate spur and helical gears, a piecewise and a sine function are used to simulate mesh stiffness fluctuations. Contact conditions are considered in order to deal with contact losses and back strikes, i.e., when contacts occur on the back flanks of the teeth. The dynamic response is determined by combining several analytical and numerical techniques. It is shown that acyclism modulations can generate additional response peaks on either side of the main resonance area. This is due to frequency and amplitude modulations between the mesh excitations and the harmonics of the engine rotational speed. The analytical results compare particularly well with those delivered by a time-step numerical integration by Newmark’s method with controlled variable time-step coupled with a contact algorithm. This excellent agreement shows that Newmark’s method can be extended to the dynamic simulation of geared drives with unsteady rotational speeds provided that time-steps are carefully calibrated and readjusted. Finally, the influence of gear geometry (module, tooth number, speed ratio) along with the acyclism parameters (frequencies, amplitudes) is studied and some general trends are presented concerning the resulting dynamic tooth loads.
Skip Nav Destination
ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
September 4–7, 2007
Las Vegas, Nevada, USA
Conference Sponsors:
- Design Engineering Division and Computers and Information in Engineering Division
ISBN:
0-7918-4808-6
PROCEEDINGS PAPER
Analytical and Numerical Dynamic Analysis of Gears in the Presence of Engine Acyclism
G. Sika
LaMCoS, INSA-Lyon, France
P. Velex
LaMCoS, INSA-Lyon, France
Paper No:
DETC2007-34068, pp. 405-413; 9 pages
Published Online:
May 20, 2009
Citation
Sika, G, & Velex, P. "Analytical and Numerical Dynamic Analysis of Gears in the Presence of Engine Acyclism." Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 7: 10th International Power Transmission and Gearing Conference. Las Vegas, Nevada, USA. September 4–7, 2007. pp. 405-413. ASME. https://doi.org/10.1115/DETC2007-34068
Download citation file:
6
Views
0
Citations
Related Proceedings Papers
Modeling the Nonlinear Vibration of a Spur Gear Pair
IDETC-CIE2000
Related Articles
Analytical and Numerical Dynamic Analysis of Gears in the Presence of Engine Acyclism
J. Mech. Des (December,2008)
Suppression of Planet Mode Response in Planetary Gear Dynamics Through Mesh Phasing
J. Vib. Acoust (April,2006)
Modeling and Detection of Localized Tooth Defects in Geared Systems
J. Mech. Des (September,2001)
Related Chapters
Tooth Forms
Design and Application of the Worm Gear
Introduction and Definitions
Handbook on Stiffness & Damping in Mechanical Design
Occlusion Identification and Relief within Branched Structures
Biomedical Applications of Vibration and Acoustics in Therapy, Bioeffect and Modeling