Non-linear control of buckled beams under step loading

Mechanical Systems and Signal Processing

Volumn 14, Issue 6, 2000, Pages 967-985

  Pinto, O C ^a   Goncalves P B ^a  

^a PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BUCKLING; COMPRESSIVE STRESS; DYNAMIC LOADS; FEEDBACK CONTROL; NONLINEAR CONTROL SYSTEMS; NUMERICAL ANALYSIS; OSCILLATIONS; POLYNOMIALS; TENSORS; VIBRATIONS (MECHANICAL);

SNAP-THROUGH BUCKLING; STEP LOADING;

BEAMS AND GIRDERS;

EID: 0342420684     PISSN: 08883270     EISSN: None     Source Type: Journal    
DOI: 10.1006/mssp.2000.1300     Document Type: Article

References (21)

1. NAYFEH A. H., BALACHANDRAN B. Applied Nonlinear Dynamics. 1995;John Wiley and Sons, New York.
2. O. C. PINTO, P. B. GONÇALVES, 1998, Proceedings of the 4th World Congress on Computational Mechanics, Active control of geometrically nonlinear structural systems.
3. PINTO O. C., GONÇALVES P. B. Nonlinear optimal control of structural elements liable to buckling. Proceedings of the 6th Pan American Congress of Applied Mechanics. 1999;1155-1158.
4. HACKL K., YANG C. Y., CHENG A. H. D. Stability, bifurcation and chaos of non-linear structures with control-I. Autonomous case. International Journal of Non-linear Mechanics. 28:1993;441-454.
5. SPENCER B. F. JR. Recent trends in vibrations control in the USA. Proceedings of the 3rd International Conference on Motion and Vibration Control. 1996;K1-K6.
6. MASRI S. F., BEKEY G. G., CAUGHEY T. T. On-line control of nonlinear flexible structures. ASME Journal of Applied Mechanics. 49:1982;877-884.
7. YANG J. N., LONG F. X., WONG D. Optimal control of nonlinear structures. Journal of Applied Mechanics. 55:1988;931-938.
8. YANG J. N., LI Z., WU J. C., HSU I. R. Control of sliding-isolated buildings using dynamic linearization. Engineering Structures. 16:1994;437-444.
9. MOON F. C., JOHNSON M. A., HOLMES W. T. Controlling chaos in a two-well oscillator. International Journal of Bifurcation and Chaos. 6:1996;337-347.
10. MOON F. C. Chaotic and Fractal Dynamics. 1992;John Wiley and Sons, New York.
11. ABOU-RAYAN A. M., NAYFEH A. H., MOOK D. T., NAYFEH M. A. Nonlinear response of a parametrically excited buckled beam. Nonlinear Dynamics. 4:1993;499-525.
12. AFANEH A. A., IBRAHIM R. A. Nonlinear response of a initially buckled beam with 1:1 internal resonance to sinusoidal excitation. Nonlinear Dynamics. 4:1993;547-571.
13. BURIC M. R. Optimal regulation of nonlinear systems by methods of tensor algebra. Ph.D. Dissertation, Dept. of Electrical Engineering, University of Minnesota. 1978.
14. SUHARDJO J., SPENCER B. F. JR., SAIN M. K. Non-linear optimal control of a duffing system. International Journal of Non-linear Mechanics. 27:1992;157-172.
15. TOMASULA D. P., SPENCER B. F. JR, SAIN M. K. Nonlinear control strategies limiting dynamic response extremes. Journal of Engineering Mechanic. 122:1996;218-229.
16. PINTO O. C., GONÇALVES P. B. Non-linear control of buckled beams. Proceedings of ISMA. 23:1998;1217-1224.
17. DYM C. C., SHAMES I. H. Solid Mechanics: A Variational Approach. 1973;McGraw-Hill, New York.
18. SOONG T. T. State-of-the-art review: active structural control in civil engineering. Engineering Structures. 10:1988;74-84.
19. SOONG T. T. Active Control: Theory and Practice. 1990;John Wiley and Sons, New York.
20. TIMOSHENKO S. P., GERE J. M. Theory of Elastic Stability. 1961;McGraw-Hill, New York.
21. BAZANT Z. P., CEDOLIN L. Stability of Structures. 1991;Oxford University Press, Oxford.