Dynamics of vibration effects on a grinding machine in a floating workshop, taking into account sea waves

The article presents the results of analysis and theoretical studies of the dynamics of vibration effects on a grinding machine, taking into account changing external factors in a floating workshop. To ensure the specified parameters of the quality of surfaces when grinding on the equipment of a floating workshop, on the basis of the obtained dynamic models and estimates, an automatic system for stabilizing the parameters of the technological system has been developed, taking into account the effects of the external environment, in particular, the waves of the water surface. For the grinding process on the basis of the d'Alembert - Lagrange principle, a mathematical description is built that characterizes the dynamics of displacements of the centers of mass of the tool and workpiece, taking into account the change in the actual cutting depth, in the form of a system of differential equations. To simulate the process, the stiffness and damping coefficients are experimentally determined. To assess the actual cutting depth, an extended model of the object has been developed with the construction of a shaping filter - a dynamic link that simulates the dynamics of vibration effects on the machine from the external environment through the base of the floating workshop. The resulting vector-matrix equations represent the standard form of describing a dynamical system in terms of state space theory, which allows it to be used to study the characteristics and behavior of a process, as well as to synthesize control systems for this process. Examples of the numerical characteristics of the filter operation and their analysis show that in 0.4 seconds the observer goes into a steady state with readiness for practical use. The constructed shaping filter characterizes the dynamics of deviations of the grinding wheel and the workpiece being processed under external influences, which will significantly improve the quality of parts manufacturing in a floating workshop.