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Characterization of the Dynamic Behaviors of a Linear Guideway Mechanism in Machine Tools
|關鍵字:||Linear Guide;線性滑軌;Hertz Theory;Contact element;Hertz理論;接觸元素||出版社:||機械工程學系所||引用:||1.Hagiu, G. D. and Gafitanu, M. D., “Dynamic Characteristics of High Speed Angular Contact Ball Bearings,” Wear, 211, pp. 22-29 (1997). 2.Perret-Liaudet J., “Subharmonic Resonance of Order 2 on a Sphere-Plan Contact,” C. R. Acad. Sci. Paris, series Ⅱ b325, pp. 443-448 (1997). 3.Perret-Liaudet J., “Superharmonic Resonance of Order Two on a Sphere-Plan Contact,” C. R. Acad. Sci. Paris, series Ⅱ b326, pp. 787-792 (1998). 4.Yeh, J. H. and Liou, F. W., ”Contact Condition Modelling for Machining Fixture Setup Processes,” International Journal of Machine Tools & Manufacture, 39, pp 787-803 (1999). 5.Lynagh, N., Rahnejat, H., Erahimi, M. and Aini, R., “Bearing Induced Vibration in Precision High Speed Routing Spindle,” International Journal of Machine Tools & Manufacture, 40, pp. 561-577 (2000). 6.Hernot, X., Sartor, M. and Guillot, J., “Calculation of the Stiffness Matrix of Angular Contact Ball Bearings by Using the Analytical Approach,” Journal of Mechanical Design, Vol. 122, March, pp. 83-90 (2000). 7.Monsak Pimsarn and Kazem Kazerounian, “Efficient Evaluation of Spur Gear Tooth Mesh Load Using Pseudo-Interference Stiffness Estimation Method,” Mechanism and Machine Theory, 37, pp. 769-786 (2002). 8.Ohta, Hiroyuki., “Sound of Guideway Type Recirculating Linear Ball Bearings,” Transactions of the ASME, Journal of Tribology 121, pp. 678-685 (1999). 9.Ohta, Hiroyuki. and Hayashi, Eiji., “Vibration of Linear Guideway Type Recirculating Linear Ball Bearings,” Journal of Sound and Vibration 235(5), pp. 847-861 (2000). 10.Johnson K. J., “Contact mechanics,” Cambridge University Press, (1985). 11.Werner Goldsmith, “Impact-the Theory and Physical Behavior of Colliding Solids,” Edward Arnold Ltd, (1960). 12.Hwang, D. H. and Gahr, K. H. “Transition from Static to Kinetic Friction of Unlubricated or Oil Lubricated Steel/Steel, Steel/Ceramic and Ceramic/Ceramic Pairs,” Wear, 255, pp.365-375 (2003). 13.NSK Ltd., Selection guide to NSK linear guides 14.HIWIN Ltd., HIWIN linear guideway product serise 15.Egert, J. “Comparison of Some Contact Elements and Iterative Algorithms for the Solution of Frictionless Contact Problems,”Journal of Computational and Applied Mechanics, 1(1), pp.22-36 (2000).||摘要:||
In this project, nonlinear characteristics on the rolling interface of a linear guide in machine tools were studied by the finite element analysis and experimental verification. Contact of the ball/surface rolling interface in rolling guides was simulated as a three-dimensional contact elements without thickness. By introducing Hertzian contact theory and applying proper normal/shear stiffness to such contact elements in the overall finite element model, dynamic behaviors of linear guides affected by preload were thus investigated. In the finite element procedure, three contact models, 1-D point-to-point, 2-D point-to-point and 3-D surface-to-surface, were sequentially introduced for purpose of verification with experiments. As a validation in this project, modal tests on linear guides with different preloads were conducted and related frequency spectrums were derived. Both the finite element and the experimental results reveal that the natural frequency of a linear guide increases with the increment of the preload. In addition, the dynamic characteristics predicted by finite element analysis agree well with those measured from instrumental experiments. In the modal analysis, it was told that the natural frequencies vary a little with different loading conditions; however, the mode shapes are changed obviously with the magnitude of applied loads. Therefore, the stiffness of contact interface needs to be properly adjusted during simulation which may affect the dynamic characteristics of the machine tools.
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