Stiffness analysis of gantry hybrid machine tools
Xiaoqiang Tang
Abstract
Xiaoqiang Tang
Abstract
Stiffness is one of the most important criteria in machine tool design. The stiffness of a gantry machine tool based on a 3-DOF planar parallel mechanism was analyzed by considering the deformation of the parallel links and the joints. The differential error model was used to develop the machine tool stiffness matrix. The solution gave contour plots of the position stiffness and the rotation stiffness. The simulation shows that the joint stiffness has an important effect on the machine tool stiffness; therefore, high stiffness joints should be used in parallel or hybrid machine tools. The results also show that the position stiffness is symmetric along the Y direction and the rotation stiffness is asymmetric in the machine tool working space.
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Stiffness is one of the most important criteria in machine tool design. The stiffness of a gantry machine tool based on a 3-DOF planar parallel mechanism was analyzed by considering the deformation of the parallel links and the joints. The differential error model was used to develop the machine tool stiffness matrix. The solution gave contour plots of the position stiffness and the rotation stiffness. The simulation shows that the joint stiffness has an important effect on the machine tool stiffness; therefore, high stiffness joints should be used in parallel or hybrid machine tools. The results also show that the position stiffness is symmetric along the Y direction and the rotation stiffness is asymmetric in the machine tool working space.
Key concepts: Stiffness, Machine tool, Direct stiffness method, Position (finance), Structural engineering, Joint stiffness, Rotation (mathematics), Computer science