Hybrid frequency-time domain methods for the analysis of complex structural systems with dry friction damping

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 1, Issue , 2003, Pages 111-124

  Poudou, Olivier ^a   Pierre, Christophe ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DEGREES OF FREEDOM (MECHANICS); DISKS (MACHINE COMPONENTS); EQUATIONS OF MOTION; FREQUENCY DOMAIN ANALYSIS; FRICTION; MODAL ANALYSIS; TIME DOMAIN ANALYSIS; TURBOMACHINE BLADES; TURBOMACHINERY;

COMPLEX STRUCTURAL SYSTEMS; DRY FRICTION DAMPERS; DRY FRICTION DAMPING; HARMONIC BALANCE METHOD; HYBRID FREQUENCY TIME DOMAIN METHODS; NONLINEAR ANALYSIS;

AEROSPACE ENGINEERING;

EID: 0042014037     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2003-1411     Document Type: Conference Paper

References (29)

1. Nayfeh, A. and Mook, D., Nonlinear Oscillations, John Wiley & Sons, 1979.
2. Dowell, E. and Schwartz, H., "Forced Response of a Cantilever Beam with a Dry Friction Damper Attached, Part I: Theory," Journal of Sound and Vibration, Vol. 91, No. 2, 1983, pp. 255-267.
3. Ferri, A. and Dowell, E., "The Behavior of a Linear, Damped Modal System with a Non-Linear Spring-Mass-Dry Friction Damper Attached, Part II," Journal of Sound and Vibration, Vol. 101, No. 1, 1985, pp. 55-74.
4. Ferri, A. and Bindemann, A., "Damping and Vibration of Beams with Various Types of Frictional Support Conditions," Journal of Vibration and Acoustics, Vol. 114, 1992, pp. 289-296.
5. Whiteman, W. and Ferri, A., "Displacement-Dependent Dry Friction Damping of a Beam-Like Structure," Journal of Sound and Vibration, Vol. 198, No. 3, 1996, pp. 313-329.
6. Griffin, J., "Friction Damping of Resonant Stress in Gas Turbine Engine Airfoils," Journal of Engineering for Power, Vol. 102, 1980, pp. 329-333.
7. Srinivasan, A. and Cutts, D., "Dry Friction Damping Mechanisms in Engine Blades," Journal of Engineering for Gas Turbines and Power, Vol. 105, 1983, pp. 525-530.
8. Sinha, A. and Griffin, J., "Effects of Friction Dampers on Aerodynamically Unstable Rotor Stages," AIAA Journal, Vol. 23, 1985, pp. 262-270.
9. Sanliturk, K., Imregun, M., and Ewins, D., "Harmonic Balance Vibration Analysis of Turbine Blades with Friction Dampers," Journal of Vibration and Acoustics, Vol. 119, 1997, pp. 96-103.
10. Menq, C., Bielak, J., and Griffin, J., "The Influence of Microslip on Vibratory Response, Part I: A New Microslip Model," Journal of Sound and Vibration, Vol. 107, 1986, pp. 279-293.
11. Menq, C., Griffin, J., and Bielak, J., "The Influence of a Variable Normal Load on the Forced Vibration of a Frictionally Damped Structure," Journal of Engineering for Gas Turbines and Power, Vol. 108, 1986, pp. 300-305.
12. Griffin, J. and Menq, C., "Friction Damping of Circular Motion and Its Implications to Vibration Control," Journal of Vibration and Acoustics, Vol. 113, 1991, pp. 225-229.
13. Sanliturk, K. and Ewins, D., "Modelling Two-Dimensional Friction Contact and its Application Using Harmonic Balance Method," Journal of Sound and Vibration, Vol. 193, No. 2, 1996, pp. 511-523.
14. Menq, C. and Yang, B., "Non-Linear Spring Resistance and Friction Damping of Frictional Constraint Having Two-Dimensional Motion," Journal of Sound and Vibration, Vol. 217, No. 1, 1998, pp. 127-143.
15. Yang, B., Chu, M., and Menq, C., "Stick-Slip-Separation Analysis and Non-Linear Stiffness and Damping Characterization of Friction Contacts Having Variable Normal Load," Journal of Sound and Vibration, Vol. 210, No. 4, 1998, pp. 461-481.
16. Lau, S., Cheung, Y., and Wu, S., "Incremental Harmonic Balance Method with Multiple Time Scales for Aperiodic Vibration of Nonlinear Systems," Journal of Applied Mechanics, Vol. 50, 1983, pp. 871-876.
17. Ferri, A., "On the Equivalence of the Incremental Harmonic Balance Method and the Harmonic Balance-Newton Raphson Method," Journal of Applied Mechanics, Vol. 53, 1986, pp. 455-457.
18. Pierre, C., Ferri, A., and Dowell, E., "Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method," Journal of Applied Mechanics, Vol. 52, No. 4, 1985, pp. 958-964.
19. Cameron, T. and Griffin, J., "An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems," Journal of Applied Mechanics, Vol. 56, 1989, pp. 149-154.
20. Guillen, J. and Pierre, C., "An Efficient, Hybrid, Frequency-Time Domain Method for the Dynamics of Large-Scale Dry-Friction Damped Structural Systems," IUTAM Symposium on Unilateral Multibody Contacts, edited by F. Pfeiffer and C. Glocker, Kluwer Academic Publishers, Dordrecht, Netherlands, 1999.
21. Guillen, J., Lagrange, T., and Pierre, C., "An Advanced Damper Model for the Dynamics of Dry Friction Damped Systems," Proceedings of the 17th Biennial Conference on Mechanical Vibration and Noise, ASME paper DETC99/VIB-8083, Las Vegas, Nevada, September 1999.
22. Chen, J. and Menq, C., "Periodic Response of Blades Having Three-Dimensional Nonlinear Shroud Constraints," Journal of Engineering for Gas Turbines and Power, Vol. 123, 2001, pp. 901-909.
23. Nacivet, S., Pierre, C., Thouverez, F., and Jézéquel, L., "Analysis of Periodic Frictional Contact in Finite Elements Problems," Proceedings of DTEC'01, 2001 ASME Design Engineering Technical Conferences, paper DETC2001/VIB-21735, Pittsburgh, Pennsylvania, USA, September 2001.
24. Nacivet, S., Pierre, C., Thouverez, F., and Jézéquel, L., "A Dynamic Lagrangian Frequency-Time Method for the Vibration of Dry-Friction-Damped Systems," Journal of Sound and Vibration, in print, 2003.
25. Lagrange, T., A Study of the Dynamics of Friction-Damped Blade Assemblies: Cyclic Symmetry and Structure-Like Dampers, Master's thesis, The University of Michigan, 1999.
26. Craig, R. and Bampton, M., "Coupling of Substructures for Dynamic Analysis," AIAA Journal, Vol. 8, No. 7, 1968, pp. 1313-1319.
27. Powell, M., "A Hybrid Method for Nonlinear Equations," Numerical Methods for Nonlinear Equations, edited by P. Rabinowitz, Gordon and Breach, London, U.K., 1969.
28. Garbow, B., Hillstrom, K., and More, J., "User Guide for MINPACK-1," Tech. rep., National Argonne Laboratory, 1980.
29. Berthillier, M., Dupont, C., Mondal, R., and Barrau, J., "Blades Forced Response Analysis with Friction Dampers," Transactions of the ASME, Vol. 120, April 1998, pp. 468-474.