Three-component receptance coupling substructure analysis for tool point dynamics prediction

Journal of Manufacturing Science and Engineering

Volumn 127, Issue 4, 2005, Pages 781-790

  Schmitz, Tony L ^a   Duncan, G Scott ^a  

^a J Crayton Pruitt Family Department of Biomedical Engineering   (United States)

Author keywords

Beam; Finite element; High speed machining; Milling; Stability

Indexed keywords

ASSEMBLY; FINITE ELEMENT METHOD; MACHINE TOOLS; STABILITY;

BEAM; FINITE ELEMENT; HIGH SPEED MILLING; SUB-STRUCTURES;

MILLING (MACHINING);

EID: 27944462284     PISSN: 10871357     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2039102     Document Type: Article

References (40)

1. Halley, J., Helvey, A., Smith, K. S., and Winfough, W. R., 1999, "The Impact of High-Speed Machining on the Design and Fabrication of Aircraft Components," Proc. of the 17th Biennial Conference on Mechanical Vibration and Noise, ASME Design and Technical Conferences, Las Vegas, NV, September 12-16.
2. Arnold, R. N., 1946, "The Mechanism of Tool Vibration in the Cutting of Steel," Proc. Inst. Mech. Eng., 154, pp. 261-284.
3. Tobias, S. A., and Fishwick, W., 1958, "The Chatter of Lathe Tools under Orthogonal Cutting Conditions," Trans. ASME, 80, p. 1079.
4. Tlusty, J., and Polocek, M., 1963, "The Stability of the Machine-Tool Against Self-Excited Vibration in Machining," Proc. of the International Research in Production Engineering Conference, Pittsburgh, PA, ASME, NY, p. 465.
5. Tobias, S. A., 1965, Machine-Tool Vibration, Blackie and Sons Ltd., Glasgow, Scotland.
6. Koenisberger, F., and Tlusty, J., 1967, Machine Tool Structures - Vol. I: Stability Against Chatter, Pergamon, NY
7. Merrit, H., 1965, "Theory of Self-Excited Machine Tool Chatter," J. Eng. Ind., 87, pp. 447-454.
8. Kegg, R. L., 1965, "Cutting Dynamics in Machine Tool Chatter," J. Eng. Ind., 87, pp. 464-470.
9. Shridar, R., Hohn, R. E., and Long, G. W., 1968, "A General Formulation of the Milling Process Equation," J. Eng. Ind., 90, p. 317.
10. Shridar, R., Hohn, R. E., and Long, G. W., 1968, "A Stability Algorithm for the General Milling Process," J. Eng. Ind., 90, p. 330.
11. Hanna, N. H., and Tobias, S. A., 1974, "A Theory of Nonlinear Regenerative Chatter," J. Eng. Ind., 96, pp. 247-255.
12. Schmitz, T., and Donaldson, R. 2000, "Predicting High-Speed Machining Dynamics by Substructure Analysis," CIRP Ann., 49, pp. 303-308.
13. Schmitz, T., Davies, M., and Kennedy, M., 2001, "Tool Point Frequency Response Prediction for High-Speed Machining by RCSA," J. Manuf. Sci. Eng., 123, pp. 700-707.
14. Schmitz, T., Davies, M., Medicus, K., and Snyder, J., 2001, "Improving High-Speed Machining Material Removal Rates by Rapid Dynamic Analysis," CIRP Ann., 50, pp. 263-268.
15. Schmitz, T., and Bums, T., 2003, "Receptance Coupling for High-Speed Machining Dynamics Prediction," Proc. of the 21st International Modal Analysis Conference, February 3-6, Kissimmee, FL (on CD).
16. Bishop, R. E. D., and Johnson, D. C., 1960, The Mechanics of Vibration, Cambridge University Press, Cambridge, UK.
17. Hurty, W. C., 1965, "Dynamic Analysis of Structural Systems Using Component Modes," AIAA J., 3, pp. 678-685.
18. Klosterman, A. L., and Lemon, J. R., 1969, "Building Block Approach to Structural Dynamics," American Society of Mechanical Engineering Annual Vibration Conference, publication VIBR-30.
19. Klosterman, A. L., McClelland, and Sherlock, W. I., 1977, "Dynamic Simulation of Complex Systems Utilizing Experimental and Analytical Techniques," ASME Publication 75-WA/Aero-9.
20. Ewins, D. J., 1986, "Analysis of Modified or Coupled Structures Using FRF Properties," Internal Report 86002, Dynamics Section, Department of Mechanical Engineering, Imperial College, London, UK.
21. Craig, Jr., R. R., 1987, "A Review of Time-Domain and Frequency Domain Component-Mode Synthesis Methods," Inl. J. Anal. Exp. Modal Anal., 2 pp. 59-72.
22. Jetmundsen, B., Bielawa, R. L., and Flannelly, W. G., 1988, "Generalized Frequency Domain Substructure Synthesis," J. Am. Helicopter Soc., 33, pp. 55-64.
23. Otte, D., Leuridan, J., Grangier, H., and Aquilina, R., 1991, "Prediction of the Dynamics of Structural Assemblies Using Measured FRF Data: Some Improved Data Enhancement Techniques," Proc. of the 9th International Modal Analysis Conference (IMAC-1991), Florence, Italy, pp. 909-918.
24. Farhat, C., and Geradin, M., 1992, "A Hybrid Formulation of a Component Mode Synthesis Method," 33rd Structural Dynamics and Materials Conference, AIAA paper 92-2383-CP, Dallas, TX, pp. 1783-1796.
25. Ren, Y., and Beards, C. F., 1993, "A Generalized Receptance Coupling Technique," Proc. of the 11th International Modal Analysis Conference (IMAC-1993), Kissimmee, FL, pp. 868-871.
26. Ren, Y., and Beards, C. F., 1995, "On Substructure Synthesis with FRF Data," J. Sound Vib., 185, pp. 845-866.
27. Ewins, D. J., 2000, Modal Testing: Theory, Practice and Application, 2nd ed., Research Studies Press, Philadelphia, PA.
28. Lui, W., and Ewins, D. J., 2002, "Substructure Synthesis Via Elastic Media," J. Sound Vib., 257, pp. 361-379.
29. Ferreira, J. V., and Ewins, D. J., 1996, "Nonlinear Receptance Coupling Approach Based on Describing Functions," Proc. of the 14th International Modal Analysis Conference (IMAC-1996), Dearborn, MI, pp. 1034-1040.
30. Yigit, A. S., and Ulsoy, A. G., 2002, "Dynamic Stiffness Evaluation for Reconfigurable Machine Tools Including Weakly Non-Linear Joint Characteristics," Proceedings of the IMECH E Part B Journal of Engineering Manufac ture, 216, pp. 87-101.
31. Park, S., Altintas, Y., and Movahhedy, M., 2003, "Receptance Coupling for End Mills," Int. J. Mach. Tools Manuf., 43, pp. 889-896.
32. Ferreira, J., and Ewins, D., 1995, "Nonlinear Receptance Coupling Approach Based on Describing Functions," Proc. of the 14th International Modal Analysis Conference, Dearborn, MI, pp. 1034-1040.
33. Bishop, R., 1955, "The Analysis of Vibrating Systems which Embody Beams in Flexure," Proc. Inst. Mech. Eng., 169, pp. 1031-1050.
34. Weaver, Jr., W., Timoshenko, P., and Young, D., 1990, Vibration Problems in Engineering, 5th Ed., John Wiley and Sons, New York.
35. Sattinger, S., 1980, "A Method for Experimentally Determining Rotational Mobilities of Structures," Shock Vibr. Bull., 50, pp. 17-27.
36. Mathworks, 2002, Matlab 6.5.0 Release 13: High-Performance Numeric Computation and Visualization Software, Natick, MA.
37. Schmitz, T., Ziegert, J., Burns, T., Dutterer, B., and Winfough, W., 2004, "Tool-Length Dependent Stability Surfaces," Mach. Sci. Technol., 8(3), pp. 1-21.
38. Altintas, Y. and Budak, E., 1995, "Analytical Prediction of Stability Lobes in Milling," CIRP Ann., 44, pp. 357-362.
39. Yokoyama, T., 1990, "Vibrations of a Hanging Timoshenko Beam Under Gravity," J. Sound Vib., 141, pp. 245-258.
40. Hutchinson, J., 2001, "Shear Coefficients for Timoshenko Beam Theory," J. Appl. Mech., 68, pp. 87-92.