Theoretical, numerical, and experimental study on synchronization of three motors coupled with a tensile spring in a nonlinear vibrating system

A synchronization mechanism for three motors coupled with a tensile spring in a nonlinear vibrating system is proposed to apply in drilling fluid shaker. The purpose of this paper is to investigate the synchronization mechanism of the system. Firstly, the dynamic equations of the system are established by using the Lagrange's equation, and the steady-state solutions of the system are solved. Then, synchronous conditions and stability criteria of the system in a steady state are obtained. Next, the influences of various structure parameters on the synchronous state of the system are numerically discussed. Additionally, we use the Runge-Kutta algorithm to build an electromagnetic coupling model, and the synchronous behavior of the system is explored. Finally, an experimental strategy including the synchronous tests of the system is implemented to verify the correctness of theoretical analysis, numerical discussion, and simulation. It is concluded that the steady synchronous motion of three motors can be achieved by selecting an appropriate stiffness of the tensile spring. All these study results will provide a strong support for developing the design of large-scale vibration machinery with high efficiency and energy-saving in engineering.