Open-loop nonlinear vibration control of shallow arches via perturbation approach

Journal of Applied Mechanics, Transactions ASME

Volumn 69, Issue 3, 2002, Pages 325-334

  Lacarbonara, W ^a   Chin, C M ^a   Soper, R R ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; ARCHES; BOUNDARY CONDITIONS; CONTROL NONLINEARITIES; COSTS; INTEGRAL EQUATIONS; NONLINEAR CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; RESONANCE; ROBUSTNESS (CONTROL SYSTEMS);

SHALLOW ARCHES;

VIBRATION CONTROL;

EID: 0036588439     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1459069     Document Type: Article

References (15)

1. Nayfeh, A.H., and Monk, D.T., 1979, Nonlinear Oscillations, Wiley-Interscience, New York.
2. Chin, C.M., Nayfeh, A.H., and Lacarbonara, W., 1997, "Two-to-One Internal Resonances in Parametrically Excited Buckled Beams," Proceedings of the 38th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials, Kissimmee, FL, Apr. 7-10, AIAA Paper No. 97-1081.
3. Fujino, Y., Warnitchai, P., and Pacheco, B.M., 1993, "Active Stiffness Control of Cable Vibration," ASME J. Appl. Mech. 60, pp. 948-953.
4. Gattulli, V., Pasca, M., and Vestroni, F., 1997, "Nonlinear Oscillations of a Nonresonant Cable Under In-Plane Excitation With a Longitudinal Control," Nonlinear Dyn. 14, pp. 139-156.
5. Oueini, S.S., Nayfeh, A.H., and Pratt, J.R., 1998, "A Nonlinear Vibration Absorber for Flexible Structures," Nonlinear Dyn. 15, pp. 259-282.
6. Yabuno, H., Kawazoe, J., and Aoshima, N., 1999, "Suppression of Parametric Resonance of a Cantiliver Beam by a Pendulum-Type Vibration Absorber," Proceedings of the 17th Biennial ASME Conference on Mechanical Vibration and Noise, Las Vegas, NV, Sept. 12-15, ASME, New York, Paper No. DETC99/VIB-8072.
7. Maschke, B.M.J., and van der Schaft, A.J., 2000, "Port Controlled Hamiltonian Representation of Distributed Parameter Systems," Proceedings of the IFAC Workshop Lagrangian and Hamiltonian Methods for Nonlinear Control, N.E. Leonard and R. Ortega, eds., Princeton University, Princeton, NJ, March 16-18, Elsevier Science, Oxford, UK.
8. Ortega, R., van der Schaft, A.J., and Maschke, B.M.J., 1999, "Stabilization of Port Controlled Hamiltonian Systems," Stability and Stabilization of Nonlinear Systems, Vol. 246, D. Aeyels, F. Lamnabhi-Lagarrigue, and A.J. van der Schaft, eds., Springer-Verlag, New York, pp. 239-260.
9. Nayfeh, A.H., 1984, "Interaction of Fundamental Parametric Resonances with Subharmonic Resonances of Order One-Half," Proceedings of the 25th Structures, Structural Dynamics and Materials Conference, Palm Springs, CA, May 14-16, AIAA, Washington, DC.
10. Soper, R.R., Lacarbonara, W., Chin, C.M., Nayfeh, A.H., and Monk, D.T., 2001, "Open-Loop Resonance-Cancellation Control for a Base-Excited Pendulum," J. Vib. Control (in press).
11. Algrain, M., Hardt, S., and Ehlers, D., 1997, "A Phase-Lock-Loop-Based Control System for Suppressing Periodic Vibration in Smart Structural Systems," Smart Mater. Struct. 6, pp. 10-22.
12. Mettler, E., 1962, Dynamic Buckling in Handbook of Engineering Mechanics, W. Flugge, ed., McGraw-Hill, New York.
13. Nayfeh, A.H., 2000, Nonlinear Interactions, Wiley-Interscience, New York.
14. Lacarbonara, W., Nayfeh, A.H., and Kreider, W., 1998, "Experimental Validation of Reduction Methods for Nonlinear Vibrations of Distributed-Parameter Systems: Analysis of a Buckled Beam," Nonlinear Dyn. 17, pp. 95-117.
15. Lacarbonara, W., 1999, "Direct Treatment and Discretizations of Non-Linear Spatially Continuous Systems," J. Sound Vib. 221, pp. 849-866.