“…The machine structure consists of the tool, spindle, feed drive mechanism, machine tool body, table, workpiece clamp, and workpiece. The structural components of the system are coupled in series, and the dynamic stiffness of the system is dependent on the properties of the least stiff structure and its joints [52]. In many cases, loop stiffness is calculated by simplifying the system to a MDOF vibration model of a mass-damper-spring system.…”
“…The machine structure consists of the tool, spindle, feed drive mechanism, machine tool body, table, workpiece clamp, and workpiece. The structural components of the system are coupled in series, and the dynamic stiffness of the system is dependent on the properties of the least stiff structure and its joints [52]. In many cases, loop stiffness is calculated by simplifying the system to a MDOF vibration model of a mass-damper-spring system.…”
“…Kinematic couplings are static, precision-machined contacts that can enable high accuracy and repeatability in the relative positioning between two parts [8−11]. They are made in a way that the number of connections between two solid models corresponds to the number of limited DoF.…”
Devices known as kinematic couplings offer accurate, repeatable, and stiff connections between two parts. They are characterized by point contacts and enable great repeatability with errors less than 1 micron, in contrast to conventional coupling systems like alignment pins or those based on elastic deformation. In this study, a robotized laser-cutting machine is equipped with a three-groove kinematic coupling design to increase the precision of workpiece placement. Given the application’s requirements, a preliminary design of the coupling is defined. An analytical approach is provided for calculating stresses and deflections at the locations where balls and grooves make contact, and it is then utilized to calculate positioning errors caused by the mechanical structure’s elastic deformation under various loading conditions. The outcomes of the simulations are finally discussed and highlight the efficacy of the solution tested.
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