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Stiffness Analysis of Machine Tools Using Finite Element Method

Yu Lianqing, Wang Liping

Open publisher page 3 citations

Abstract

Modern machining processes require machine tools to work accurately and dynamically. This leads to the necessity for a method which can analyze the stiffness of machine tools. In this paper, a single module method and a hybrid modeling method for analyzing the stiffness of machine tools are presented. Techniques include building suitable finite element models, determining equivalent loads, simulating the interface between two modules, considering boundary constraints, and interpreting results. Calculation of machine tools stiffness requires the modeling of the complete structure and components by the finite element method. If calculation at several machine positions is required, major adaptations of the FEM model are needed. Besides being a helpful tool for the analysis of a single module, the method permits the organization of a database in which a hybrid module can be introduced for the calculation of the complete machine tool in a very short time.

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What this paper is about

Modern machining processes require machine tools to work accurately and dynamically. This leads to the necessity for a method which can analyze the stiffness of machine tools. In this paper, a single module method and a hybrid modeling method for analyzing the stiffness of machine tools are presented. Techniques include building suitable finite element models, determining equivalent loads, simulating the interface between two modules, considering boundary constraints, and interpreting results. Calculation of machine tools stiffness requires the modeling of the complete structure and components by the finite element method. If calculation at several machine positions is required, major adaptations of the FEM model are needed. Besides being a helpful tool for the analysis of a single module, the method permits the organization of a database in which a hybrid module can be introduced for the calculation of the complete machine tool in a very short time.

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Available abstract

Modern machining processes require machine tools to work accurately and dynamically. This leads to the necessity for a method which can analyze the stiffness of machine tools. In this paper, a single module method and a hybrid modeling method for analyzing the stiffness of machine tools are presented. Techniques include building suitable finite element models, determining equivalent loads, simulating the interface between two modules, considering boundary constraints, and interpreting results. Calculation of machine tools stiffness requires the modeling of the complete structure and components by the finite element method. If calculation at several machine positions is required, major adaptations of the FEM model are needed. Besides being a helpful tool for the analysis of a single module, the method permits the organization of a database in which a hybrid module can be introduced for the calculation of the complete machine tool in a very short time.

Key concepts: Finite element method, Stiffness, Machine tool, Computer science, Machining, Interface (matter), Direct stiffness method, Static analysis

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