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华中科技大学硕士学位论文
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Abstract
Linear rolling guide, with its high-speed, high-precision, low- loss and wear-resisting, becomes a kind of new type of rolling support, gradually replacing slide guide, and is widely used in CNC machine tools, industrial robots, precision electronic machinery and so on. As an irreplaceable functional component, the dynamic behavior of linear rolling guide will directly affect the accuracy of its subsidiary equipment. Because the linear rolling guide uses rolling body to connect the guide and the slide block, which contact belongs to the point contact or line contact, so the dynamic behavior of linear rolling guide’s contact interface plays a key role on the overall performance, and is also one weak part. Therefore it is necessary to do dynamic analysis for the contact interface, and the crux is to establish an effective dynamic model.
By using Hertz theory of classical contact mechanics and micro theory, the model of the contact of the single cylinder and flat was analyzed, and from the view of the analytical method, the expressions of the normal contact stiffness and the tangential contact stiffness were solved, which provided a theoretical basis for the identification of the parameters of the contact interface. The method based on the frequency response function, to indentify the parameters of the contact interface, was introduced, and the model of the damping-spring element which nodes were not on the real contact interface and the model of the eight-nodes-element were analyzed. Then three dynamic models were mainly established. The first was the vibration model of multi degrees of freedom which used eight spring elements. The second was the finite element model based on the first model. The third one was the dynamic model of the virtual material. In the first model, the Lagrange equation was used to establish the systems vibration differential equations, and the theoretical solutions of the model’s natural freq
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