Vibrational control of a non-linear elastic panel

International Journal of Non-Linear Mechanics

Volumn 36, Issue 4, 2001, Pages 709-718

  Chow, P L ^a   Maestrello, L ^b  

^a WAYNE STATE UNIVERSITY   (United States)

^b NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; NONLINEAR EQUATIONS; OSCILLATIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; SYSTEM STABILITY; VIBRATION CONTROL;

NONLINEAR BEAM EQUATIONS; NONLINEAR ELASTIC PANELS;

STRUCTURAL PANELS;

EID: 0035372762     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(00)00038-X     Document Type: Article

References (11)

1. Maestrello L. Active transition fixing and control of the boundary layer in air. AIAA J. 24:1986;1577-1581.
2. Maestrello L. Active control of nonlinear vibration of a panel structure. J. Acoust. Soc. Am. 93:1993;2252.
3. Bogoliubov N.N., Mitropolskii Y.A. Asymptotic Methods in the Theory of Nonlinear Oscillations. 1961;Gordon, & Breach New York.
4. Meerkov S.M. Principle of vibrational control: theory and applications. IEEE Trans. Automat. Control. AC-25:1980;755-762.
5. Bellman R., Bentsman J., Meerkov S.M. Vibrational control of systems with Arrhenius dynamics. J. Math. Anal. Appl. 91:1993;152-191.
6. Dowell E.H. Aeroelasticity of Plates and Shells. 1975;Noordhoff, Leiden, The Netherlands.
7. Hale J.K. Ordinary Differential Equations. 1969;Wiley-Interscience, New York.
8. Stoker J.J. Nonlinear Vibrations in Mechanical and Electrical Systems. 1965;Wiley-Interscience, New York.
9. Chow P.L. Asymptotic solutions of inhomogeneous initial boundary value problems for weakly nonlinear partial differential equations. SIAM J. Appl. Math. 22:1972;629-647.
10. Keller J.B., Millman M.H. Perturbation theory of nonlinear electromagnetic wave propagation. Phys. Rev. 181:1969;1730-1741.
11. Keller J.B., Kogelman S. Asymptotic solutions of initial value problems for nonlinear partial differential equations. SIAM J. Appl. Math. 18:1970;748-7458.