Abstract
In this paper, we put an investigation into the nonlinear vibration mechanism of the marine rotating machinery with an airbag isolation device under heaving motion. First, we consider the effects of mass unbalance and heaving motion and propose a mathematical model of the marine rotating mechanical system with airbag vibration isolation. Then, the multiple-scale method is conducted to analyze the nonlinear dynamic characteristics of the mechanical system; the frequency-response curves are mainly studied under different parameters, such as the heave excitation, rotor speed, and damping; and the numerical method is also introduced to analyze its dynamic behaviors, such as the steady-state response and its corresponding phase diagram, Poincaré section. The dynamic stability of the system is investigated based on the bifurcations and the largest Lyapunov exponent about rotor speed and heaving frequency. The obtained results indicate complex nonlinear characteristics of the system compared to the system without heaving excitation, which can help us fully understand the dynamic characteristics and parametric optimization as well as structural design of the marine mechanical isolation system.
Highlights
As the main power equipment, rotating machinery has been widely used in many important industries such as maritime transportation
Some research has been studied on the nonlinear dynamic characteristics of the ship under different motions
Li et al explored the effects of the yaw error and the wind-wave misalignment on the dynamic characteristics of the floating offshore wind turbine (FOWT) [8]
Summary
As the main power equipment, rotating machinery has been widely used in many important industries such as maritime transportation. Shock and Vibration analyzed the safety of load control [10] Later, they (2016) studied the nonlinear response of cracked rotor ball bearing system caused by aircraft flight control and analyzed the nonlinear dynamic behavior of the system by using the Runge–Kutta method [11]. Guanghui studied the nonlinear dynamic response of the marine rotor-bearing system under the pitch and roll motion of a ship [16]. Less attention is paid on the nonlinear vibration mechanism of the marine rotating machinery with airbag device under heaving motion. We present the model of the marine rotating mechanical system with airbag vibration isolation under the heave excitation.
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