CALCULATION AND ANALYZING THE BIFURCATION FOR PERIODIC VIBRATIONS OF ENGINE ON ELASTIC FOUNDATION
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Keywords

Nonlinear vibration, shooting method, numerical simulation, piecewise -linear system, Floquet stability. Dao động phi tuyến, phương pháp bắn, mô phỏng số, tuyến tính từng khúc, ổn định Floquet.

How to Cite

HOÀNG MẠNH, C. (2022). CALCULATION AND ANALYZING THE BIFURCATION FOR PERIODIC VIBRATIONS OF ENGINE ON ELASTIC FOUNDATION. Journal of Marine Science and Technology, 10(10), 62–66. Retrieved from https://jmst.vimaru.edu.vn/index.php/tckhcnhh/article/view/161

Abstract

In this paper, the periodic vibration calculation and branching analysis of the periodic root are presented for a motor model located on an elastic base. Firstly, the vibrated model on the elastic base was proposed which includes the clearance between the motor housing and the base. Next, the dynamic equation of the system has been established by applying Lagrange method and we obtained a system of nonlinear differential equations. All the calculation was performed by numerical method based on the single shot algorithm. The results acquired are the branching figures of vibration according to the changes in the system parameters and periodic vibrations at some steady state of the system.

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