Guideway joint feature-considered vibration response analysis method for upright post-spindle system

Abstract

The invention provides a guideway joint feature-considered vibration response analysis method for an upright post-spindle system. Firstly, the relationship between a single roller and the bearing capacity is represented based on the Hertz contact theory, and a relational expression between the load and the deformation is established. After that, in the multiple-support excitation and multiple-support response manner, the inherent frequency and the inherent damping of a guideway joint at each order are identified. Then, a kinetic model for the upright post-spindle system is established. Finally, according to the improved harmonic balance method, the vibration response of the upright post-spindle system under the effect of sinusoidal excitation is calculated. According to the technical scheme of the invention, on one hand, the equivalent stiffness of a roller linear guide rail under an arbitrary load is calculated, and the guideway joint is simplified as a system capable of providing the non-linear restoring force. On the other hand, the nonlinear vibration theory-based calculation method is adopted to provide a vibration model for the upright post-spindle system, and the harmonic balance method is improved. Moreover, a response curve is obtained more quickly based on the principle of least square method. The above method provides a solving means for conducting the accuracy research and the optimized design of linear guide rails.

Description

technical field [0001] The invention is an analysis method for calculating the vibration response of a column-spindle system considering the characteristics of the guide rail joint, and belongs to the field of precision design of the guide rail joint of machine tools. Background technique [0002] During the processing of modern CNC machine tools, external incentives have a great weakening effect on the reliability of the machine tool and the machining accuracy of the workpiece. Establishing an analysis model that matches the actual structure and predicting the dynamic and static characteristics of the machine tool is the research focus in the field of machine tool design. The key to establishing an accurate model of a machine tool is the simulation of the joints of the machine tool, including bolt joints, bearing joints, guide rail joints, etc. [0003] The guide rail joint is the motion guiding part of the CNC machine tool, and its running accuracy and dynamic characteris...

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Problems solved by technology

[0005] The above results are of great value in analyzing the vibration characteristics of the guide-rail joint, but on the one hand, they neglect to explore the dynamic characteristics of the guide-rail joint under arbitrary loads. In addition, most of the above studies are based on numerical methods or finite element methods to solve nonlinear problems. If the initial value is not selected properly, the solution of the equation will not converge, which will affect the calculation efficiency

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