Synchronous characteristics of a vibration piling system with electromechanical coupling

From the point of view of frequency capture, the nonlinear dynamic models of the self-synchronous vibrating pile system are presented for the analysis of the nonlinear stiffness of the soil, which is induced by the relationship between the nonlinear stress and the strain in the soil. And the nonlinear dynamic models of the self-synchronous vibrating pile system with electromechanical coupling also are presented for the analysis of the pile-soil-electric coupling. The nonlinear characteristics of the vibrating pile in the self-synchronous vibrating pile system with frequency capture are analyzed, and the periodic solutions for the self-synchronous system with frequency capture are investigated using the nonlinear models. The synchronization condition for the self-synchronous vibrating pile system with frequency capture is theoretical analyzed using the rotor-rotation equations of the two-excited motors, and the synchronization stability condition also is theoretical analyzed using Jacobi matrix of the phase difference equation of the two-excited motors. Using Matlab/Simlink, the reverse rotation synchronization of the two-excited motors and the stability of synchronization of the self-synchronous vibrating pile system with electromechanical coupling are analyzed through the selected parameters. The nonlinear phenomena in the self-synchronous vibrating pile system with electromechanical coupling, such as frequency capture and the limit cycles, are reproduced. Various synchronous phenomena are obtained through the difference rates of the two-excited motors, which are induced by the relationship between the phases of the two-excited motors and the rotation speeds of the two-excited motors. It has been shown that the research results can provide theoretical basis for the design and research of the self-synchronous vibratory system.