Optimization of Flat Grinding Modes for Low Rigidity Workpieces such as Rings and Prismatic Rods

The study introduces an algorithm and method for optimization of flat grinding modes for low-rigidity workpieces such as rings and prismatic rods. The proposed solution ensures the specified quality of the machined surface at the maximum process efficiency. The required flatness tolerance of the machined surface is provided at the second stage of optimization modes by limiting the value of the maximum elastic deformation. The variable parameters are the cutting forces, magnetic field attraction of the machine table, and the bending rigidity of the workpiece. The study introduces mathematical models to determine maximum elastic deformation of workpieces when fixing and machining, outlines the conditions for ensuring the required flatness tolerance of the machined workpiece surface, taking into account the maximum elastic deformation of the low rigidity workpiece under the influence of the magnetic field of the machine tool and the radial component of the cutting force.

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