Multi-phase composite synchronization of three vibrators in a space far-resonant vibration system.

To improve the problem that self-synchronization and control synchronization of vibration systems are respectively restricted by their inherent characteristics and product cost, by combining them a multi-phase composite synchronization scheme is proposed for space far-resonant vibration system actuated by three vibrators. Based on the established mathematical model and sliding mode control (SMC) algorithm, controller of one vibrator is designed to implement the multi-phase control synchronization. Then self-synchronization mechanism of the other two vibrators is analyzed through small parameter average method and Routh-Hurwitz criterion.

Unleashing the mechanism between small and medium enterprises, and green financing in China: a pathway toward environmental sustainability and green economic recovery.

In this research, we analyzed green finance, small and medium-sized businesses, and financial literacy in China to boost the green economy. Green finance and financial literacy were examined holistically using a rigorous empirical approach and data envelopment analysis to provide the way to advance green economic recovery in this research. According to empirical evidence, green financing impacts SMEs at 0.

Synchronization of two homodromy rotors installed on a double vibro-body in a coupling vibration system.

A new mechanism is proposed to implement synchronization of the two unbalanced rotors in a vibration system, which consists of a double vibro-body, two induction motors and spring foundations. The coupling relationship between the vibro-bodies is ascertained with the Laplace transformation method for the dynamics equation of the system obtained with the Lagrange's equation. An analytical approach, the average method of modified small parameters, is employed to study the synchronization characteristics between the two unbalanced rotors, which is converted into that of existence and the stability of zero solutions for the non-dimensional differential equations of the angular velocity disturbance parameters.