A robust semi-analytical method for calculating the response sensitivity of a time delay system

Journal of Vibration and Acoustics

Volumn 130, Issue 6, 2008, Pages

  Kurdi, Mohammad H ^a,c   Haftka, Raphael T ^a   Schmitz, T L ^a   Mann, Brian P ^b  

^a UNIVERSITY OF FLORIDA   (United States)

^b DUKE UNIVERSITY   (United States)

^c AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DELAY CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FINITE DIFFERENCE METHOD; ITERATIVE METHODS; MILLING (MACHINING); SENSITIVITY ANALYSIS; TIMING CIRCUITS;

CALCULATED SENSITIVITY; CONTROL PARAMETERS; ENGINEERING SYSTEMS; GRADIENT-BASED OPTIMIZATION; RESPONSE SENSITIVITY; ROBUST SENSITIVITY; SEMI-ANALYTICAL METHODS; SYSTEM RESPONSE; TIME-DELAY SYSTEMS; UNCERTAINTY QUANTIFICATIONS;

TIME DELAY;

EID: 57149125046     PISSN: 10489002     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2981093     Document Type: Article

References (11)

1. Smith, S., and Tlusty, J., 1991, "An Overview of Modeling and Simulation of the Milling Process," ASME J. Eng. Ind., 113, pp. 169-175.
2. Altintas, Y., and Budak, E., 1995, "Analytical Prediction of Stability Lobes in Milling," CIRP Ann., 44(1), pp. 357-362.
3. Bayly, P. V., Halley, J., Mann, B. P., and Davies, M. A., 2003, "Stability of Interrupted Cutting by Temporal Finite Element Analysis," ASME J. Manuf. Sci. Eng., 125, pp. 220-225.
4. Mann, B. P., Bayly, P. V., Davies, M. A., and Halley, J. E., 2004, "Limit Cycles, Bifurcations, and Accuracy of the Milling Process," J. Sound Vib., 277(1-2), pp. 31-48.
5. Mann, B. P., Young, K. A., Schmitz, T. L., and Dilley, D. N., 2005, "Simultaneous Stability and Surface Location Error Predictions in Milling," ASME J. Manuf. Sci. Eng., 127(3), pp. 446-453.
6. Lancaster, P., 1964, "On Eigenvalues of Matrices Dependent on a Parameter," Numer. Math., 6, pp. 377-381.
7. Hale, J. K., and Lunel, S. V., 1993, Introduction to Functional Differential Equations, Springer-Verlag, Berlin.
8. Chapra, S. C., and Canale, R. P., 2002, Numerical Methods for Engineers, McGraw-Hill, New York.
9. Haftka, R. T., and Gurdal, Z., 1992, Elements of Structural Optimization, Kluwer Academic, Boston, MA.
10. Haug, E. J., Choi, K. K., and Komkov, V., 1986, Design Sensitivity Analysis of Structural Systems, Academic, Orlando, FL.
11. Kurdi, M. H., Haftka, R. T., Schmitz, T. L., and Mann, B. P., 2005, "A Numerical Study of Uncertainty in Stability and Surface Location in High-Speed Milling," American Society of Mechanical Engineers Manufacturing Engineering Division (MED), Orlando, FL, Nov. 5-11, Vol. 16(1), pp. 387-395.