Bending vibrations of adaptive cantilevers with external stores

International Journal of Mechanical Sciences

Volumn 38, Issue 5, 1996, Pages 483-498

  Song, Ohseop ^a   Librescu, Liviu ^b  

^a Chungnam National University   (South Korea)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Adaptive structures; External stores; Feedback gains; Thin walled beams; Vibrations

Indexed keywords

ACTUATORS; ADAPTIVE SYSTEMS; BENDING (DEFORMATION); DYNAMIC RESPONSE; ELECTRIC FIELD EFFECTS; MATHEMATICAL MODELS; PIEZOELECTRIC DEVICES; PIEZOELECTRICITY; STRAIN; VIBRATION CONTROL; VIBRATIONS (MECHANICAL);

ADAPTIVE CANTILEVERS; EXTERNAL STORES; FEEDBACK GAINS; THIN WALLED BEAMS;

BEAMS AND GIRDERS;

EID: 0030150018     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7403(95)00075-5     Document Type: Article

References (32)

1. H. S. Tzou and G. L. Anderson (Eds), Intelligent Structural Systems. Kluwer Academic Publ., Boston, MA (1992).
2. H. S. Tzou, Piezoelectric Shells, Distributed Sensing and Control of Continua. Kluwer Academic Publ., Dordrecht, Boston, London (1993).
3. M. V. Gandhi and B. S. Thomson, Smart Materials and Structures. Chapman & Hall (1992).
4. E. F. Crawley, Intelligent structures for aerospace: a technology overview and assessment. AIAA J. 32, 1689-1699 (1994).
5. S. S. Rao and M. Sunar, Piezoelectricity and its use in disturbance sensing and control of flexible structures: a survey. Appl. Mech. Rev. 47, 113-123 (1994).
6. J. C. Bruch, Jr and T. P. Mitchell, Vibrations of a mass-loaded clamped-free Timoshenko beam. J. Sound Vibr. 114, 341-345 (1987).
7. H. Abramovich and O. Hamburger, A vibration of a cantilever Timoshenko beam with a tip mass. J. Sound Vibr. 148, 162-170 (1991).
8. J. Lottati, Aeroelastic stability characteristics of a composite swept wing with tip weights for an unrestrained vehicle. J. Aircraft 24, 793-802 (1987).
9. L. Librescu and O. Song, Behavior of thin-walled beams made of advanced composite materials and incorporating non-classical effects. Appl. Mech. Rev. Vol. 44, 174-180 (1991).
10. O. Song, L. Librescu and C. A. Rogers, Application of adaptive technology to static aeroelastic control of wing structures. AIAA J. 30, 2882-2889 (1992).
11. O. Song and L. Librescu, Free vibration of anisotropic composite thin-walled beams of closed cross-section contour. J. Sound Vib. 167, 129-147 (1993).
12. L. Librescu, L. Meirovitch and O. Song, Integrated structural tailoring and adaptive control of advanced flight vehicle structural vibration, The 34th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conf. La Jolla, CA, April 1993, pp. 3457-3464, AIAA Paper-93-1697 CP (1993). (An amended version of this paper is in press in J. Aircraft.)
13. L. Librescu, O. Song and C. A. Rogers, Adaptive vibrational behavior of cantilevered structures modeled as composite thin-walled beams. Int. J. Engng Sci. 31, 775-792 (1993).
14. C. K. Lee, Piezoelectric laminates: theory and experiments for distributed sensors and actuators, in Intelligent Structural Systems, pp. 75-167 (edited by H. S. Tzou and G. L. Anderson). Kluwer Academic Publ. Boston, MA (1992).
15. G. A. Maugin, Continuum Mechanics and Electromagnetic Solids. North-Holland, Amsterdam (1988).
16. A. C. Eringen and G. A. Maugin, Electrodynamics of Continua I. Foundations and Solid Media. Springer-Verlag, New York (1990).
17. H. F. Tiersten, Linear Piezoelectric Plate Vibrations. Plenum Press, New York (1969).
18. M. C. Dökmeci, Variational principles in piezoelectricity. Lett. Nuovu Cim. 7, 449-451 (1973).
19. V. Birman, Analytical models of sandwich plates and piezoelectric strip stiffeners. Int. J. Mech. Sci. 36, 567-578 (1994).
20. O. Song and L. Librescu, Bending vibration of cantilevered thin-walled beams subjected to time-dependent external excitations. J. Acoust. Soc. Am. 97, 313-319 (1995).
21. J.W. Nicholson and L. A. Bergman, Free vibration of combined dynamical systems. J. Engng Mech., ASCE 112, 1-13 (1986).
22. O. Song, L. Librescu and C. A. Rogers, Adaptive response control of cantilevered thin-walled beams carrying heavy concentrated masses. J. Intelligent Material Systems Struct. 5, 42-48 (1994).
23. T. A. Weisshaar and S. M. Ehlers, Adaptive aeroelastic composite wings - control and optimization issues. Composites Engng 2, 457-476 (1992).
24. S. M. Ehlers and T. A. Weisshaar, Static aeroelastic control of an adaptive lifting surface. J. Aircraft 30, 534-540 (1993).
25. H. S. Tzou and J. P. Zhong, Adaptive piezoelectric structures: theory and experiment, in Active Materials and Adaptive Structures, Materials and Structures Series (edited by G. J. Knowles) pp. 219-224. Institute of Physics Publ.
26. L. Castel, R. H. Destuynder, I. Legrain and N. Richard, Certain aspects of dynamic control of structures using piezoelectric materials. La Recherche Aerospatiale No. 3, 29-43 (1990).
27. L. Librescu and S. Thangjitham, Analytical studies on static aeroelastic characteristics for composite forward-swept wing aircraft. J. Aircraft 28, 151-157 (1991).
28. A. N. Palazotto and P. E. Linemann, Vibration and buckling characteristics of composite cylindrical panels incorporating the effects of a higher order shear theory. Int. J. Solids Struct. 28, 341-361 (1991).
29. D. A. Berlincourt, D. R. Curran and H. Jaffe, Piezoelectric and piezomagnetic materials and their function in transducers, in Physical Acoustics - Principles and Methods, Vol. 1 (edited by W. R. Mason), Pt. A. Academic Press, New York (1964).
30. M. W. D. White and G. R. Heppler, Dynamics of Timoshenko beams with attached masses, Dynamics and Control of Structures in Space II, Cranfield Inst. of Technology, U.K. (edited by C. L. Kirk and R. C. Hughes) pp. 209-224. Computational Mechanics Publ., Southampton, Boston (1993).
31. R. Kumar, Vibrations of space booms under centrifugal force field. Canadian Aeronaut. Space Inst. (CASI) Trans. 7, 1-5 (1974).
32. H. S. Tzou, J. P. Zhong and J. J. Hollkamp, Spatially distributed orthogonal piezoelectric shell actuators; theory and applications. J. Sound Vibr. 177, 363-378 (1994).