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Języki publikacji
Abstrakty
In the present paper the technique of the dynamic stability analysis proposed for conventional laminated structures is extended to cover the activated electrorheological fluid-filled beam under the time-dependent axial loading. The thin simmetrically laminated structure consists of the uniform beam and the multi-cell chains containing the electrorheological fluid in an extensional configuration. Changing the electric field on the cell electrodes modifies basic mechanical properties such as Young's modulus, and the retardation time. The present paper aims at analysis of the classical stability domains of the beam. In order to derive the dynamic stability criteria the Liapunov functional as a sum of the modified kinetic energy and the elastic energy of the beam is chosen. The stability regions as functions of loading characteristics, damping coefficient are given.
Dynamiczna stateczność laminatu z cieczą elektroreologiczną. Praca dotyczy analizy klasycznego zagadnienia stateczności belki wypełnionej cieczą elektroreologiczną w celu odpowiedzi na pytanie: jak elektryczna aktywacja cieczy zamienia obszary stateczności. Ciecz elektroreologiczną opisano modelem standardowym i modelem cieczy Oldroyda o współczynnikach zależnych od przyłożonego pola elektrycznego. W celu wyprowadzenia kryteriów stateczności posłużono się bezpośrednią metodą Lapunowa.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
417--428
Opis fizyczny
Bibliogr. 16 poz., rys.
Twórcy
autor
- Institute of Machine Design Fundamentals, Warsaw University of Technology
Bibliografia
- 1. CHOI Y., SPRECHER A.F., CONRAD H., 1992, Response of Electrorheological Fluid-Filled Laminate Composites to Forced Vibration, Journal of Intelligent Material Systems and Structures, 3, 17-29.
- 2. CLACK J., STANWAY R., SPROSTON J.L., 1994, The Electrorheological Transfer Characteristics of Electro-Rheological Fluids in the Squeese-Flow Mode, Journal of Intelligent Material Systems and Structures, 5, 713-722.
- 3. GENIN J., MAYBEE J.S., 1972, On the Asymptotic Stability of Solutions of a Linear Viscoelastic Beam, J. Franklin Inst., 4293, 191-197.
- 4. KHASMINSKI R.Z., 1969, Stability of Systems of Differential Equations Subject to Random Excitations of Parameters, (in Russian), Nauka, Moskva.
- 5. DE LEEUW, 1963, Buckling Criterion for Linear Viscoelastic Column, AIAA Journal, 41, 2665-2666.
- 6. MEAD D.J., MARKUS S., 1969, The Forced Vibration of a Three-Layer Damping Sandwich Beam with Arbitrary Boundary Conditions, Journal of Sound and Vibration, 10, 163-175.
- 7. OLDROYD J.G., 1953, The Elastic and Viscotic Properties of Emulsions and Suspensions, Proceedings of the Royal Society of London, A218, 122-132.
- 8. PLAUT R.H., 1973, Asymptotic Stability and Instability Criteria for Some Elastic Systems by Liapunov's Direct Method, Quart. Appl. Math., 429, 395-398.
- 9. POTAPOV W.D., 1985, Stability of Viscoelastic Constructive Elements, (in Russian) Moscow, Stroyizdat.
- 10. Ross D., UNGAR E.E., KERVIN E.M., 1959, Damping of Plate Flexural Vibrations by Means of Viscoelastic Laminate, Structural Damping, ASME, 49-88.
- 11. SHIANG A.H., COULTER J.P., 1996, A Comparative Study of AC and DC Electrorheological Material Based Adaptive Structures in Small Amplitude Vibration, Journal of Intelligent Material Systems and Structures, 7, 455-469.
- 12. SHULLMAN Z.P., KOROBKO E.V., YANOVSKII Y.G., 1989, The Mechanism of the Viscoelastic Behaviour of Electrorheological Suspensions, Journal of Non-Newtonian Fluid Mechanics, 33, 181-196.
- 13. TANI J., NANIKAWA H., OHTOMO K., 1996, Controllable Rotary Damper Using Liquid Cristals, Aerospace Division, ASME, 621-625.
- 14. TYLIKOWSKI A., 1991, Stability and Bounds on Motion of Viscoelastic Columns with Imperfections and Time-Dependent Forces, in: M. Zyczkowski (edit.) Creep in Structures, Springer-Verlag Berlin Heidelberg, 653-658.
- 15. WINSLOW W.M., 1949, Induced Fibration of Suspensions, Journal of Applied Physics, 20, 1137-1140.
- 16. ZYCZKOWSKI M., KOWALSKI A., 1984, Nonconservative Problems for Columns Subject to Nonlinear Creep, Euromech Coll. 190, Dynamical Stability of Inelastic Structures, Technische Universität Hamburg-Harbourg, 109-111.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWM2-0009-0068