Keywords
Nonlinear vibration, periodic solution, nonlinear dynamics, Bifurcation. Dao động phi tuyến, nghiệm tuần hoàn, động lực học phi tuyến, rẽ nhánh.
How to Cite
HOÀNG MẠNH, C., & NGUYỄN HOÀNG, V. (2024). STUDY ON BIFURCATION OF PERIODIC OSCILLATION FOR A HELICAL GEAR-PAIR TRANSMISSION. Journal of Marine Science and Technology, 78(78), 42–45. Retrieved from https://jmst.vimaru.edu.vn/index.php/tckhcnhh/article/view/440
Abstract
This paper analyzes bifurcation of steady-state periodic oscillation for a helical gear-pair system. A nonlinear vibration model considering gear backlash was proposed in which mesh stiffness is considered as a time-varying function. The differential equation of motions is constituted by applying the Lagrange's equation of the second kind. The stability analysis and bifurcation of the periodic solution are conducted by using numerical method together with Floquet's branching theory. The obtained results are vibrational graph and bifurcation points.