TY - JOUR
T1 - Uncertainty considerations in the dynamic loading and failure of spur gear pairs
AU - Alemayehu, Fisseha M.
AU - Ekwaro-Osire, Stephen
PY - 2013/8
Y1 - 2013/8
N2 - Gears and gear systems, like any other mechanical system, are subjected to design parameter, and loading uncertainties emanating from inherent randomness, manufacturing, and assembly errors. The traditional deterministic approach to the design of such systems overlooks these uncertainties. This work presents a novel probabilistic multibody dynamic analysis (PMBDA) that enhances the deterministic design practice of gears and gear systems. A contact based, rigid multibody spur gear pair model with random loading, and design parameters has been developed. An advanced mean based on fast probability integration method was implemented to perform a reliability analysis of performance measurements: dynamic factor, root bending stress, and fatigue life of gears. Probabilistic sensitivity analysis of these performance functions to several random variables was also determined. In addition to revealing system reliability or probability of failure, the PMBDA approach also helps designers to consider certain variables critically.
AB - Gears and gear systems, like any other mechanical system, are subjected to design parameter, and loading uncertainties emanating from inherent randomness, manufacturing, and assembly errors. The traditional deterministic approach to the design of such systems overlooks these uncertainties. This work presents a novel probabilistic multibody dynamic analysis (PMBDA) that enhances the deterministic design practice of gears and gear systems. A contact based, rigid multibody spur gear pair model with random loading, and design parameters has been developed. An advanced mean based on fast probability integration method was implemented to perform a reliability analysis of performance measurements: dynamic factor, root bending stress, and fatigue life of gears. Probabilistic sensitivity analysis of these performance functions to several random variables was also determined. In addition to revealing system reliability or probability of failure, the PMBDA approach also helps designers to consider certain variables critically.
KW - Gears
KW - Multibody dynamics
KW - Performance
KW - Probabilistic analysis
KW - Reliability
UR - http://www.scopus.com/inward/record.url?scp=84902484395&partnerID=8YFLogxK
U2 - 10.1115/1.4023870
DO - 10.1115/1.4023870
M3 - Article
AN - SCOPUS:84902484395
SN - 1050-0472
VL - 135
JO - Journal of Mechanical Design, Transactions of the ASME
JF - Journal of Mechanical Design, Transactions of the ASME
IS - 8
M1 - 084501
ER -