![Loading...](https://link.springer.com/static/c4a417b97a76cc2980e3c25e2271af3129e08bbe/images/pdf-preview/spacer.gif)
-
Article
Multi-status mating mechanism and incomplete bifurcation of an internal gear system with time-variant parameters and temperature
Tooth mismatch induced by backlash leads to the multi-status engagement of the internal meshing spur gear system (IMSGS), attenuating transmission accuracy and quality. This paper presents the nonlinear switch...
-
Article
Nonlinear dynamic modeling and global instability analyses of planetary gear trains considering multi-state engagement and tooth-contact temperature effects
Gear disengaging, back-side tooth contact or poor dynamic behavior during operating leads to dynamic instability in planetary gear trains (PGTs). A novel nonlinear dynamic model of PGTs with internal and exter...
-
Article
Modeling and analyzing of torsional dynamics for helical gear pair considered double and three teeth drive-side meshing
Helical gears are generally considered to be more stable than spur gears. But rattling of the helical gear transmission is found in the engineering practice. The torsional dynamics equations of helical gear pa...
-
Article
Generation mechanism and evolution of five-state meshing behavior of a spur gear system considering gear-tooth time-varying contact characteristics
Teeth disengagement or back-side teeth engagement induced by backlash reduces the transmission quality and dynamic performance of gear systems, and the accurate interpretation of multi-state meshing behavior c...
-
Article
Bifurcation of multi-stable behaviors in a two-parameter plane for a non-smooth nonlinear system with time-varying parameters
To obtain the correlation between multiple parameters, multi-initial values and multi-stable behaviors for a non-smooth nonlinear system with time-varying parameters, a new method of calculating the bifurcatio...
-
Article
Bifurcation and evolution of a forced and damped Duffing system in two-parameter plane
A general method to calculate multi-parameter bifurcation diagram in the parameter space is designed based on top Lyapunov exponent and Floquet multiplier to study the effect of different combinations of syste...