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Volumn 320, Issue 1, 2006, Pages 121-144

On a structural acoustic model with interface a Reissner-Mindlin plate or a Timoshenko beam

Author keywords

Reissner Mindlin plate; Structural acoustic model; Timoshenko beam; Uniform stabilization

Indexed keywords


EID: 33646099145     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.06.034     Document Type: Article
Times cited : (34)

References (32)
  • 1
    • 0033482125 scopus 로고    scopus 로고
    • On the nonlinear Timoshenko-Kirchoff beam equation
    • Arosio A. On the nonlinear Timoshenko-Kirchoff beam equation. Chinese Ann. Math. Ser. B 20 (1999) 495-506
    • (1999) Chinese Ann. Math. Ser. B , vol.20 , pp. 495-506
    • Arosio, A.1
  • 2
    • 0000276432 scopus 로고    scopus 로고
    • The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics
    • Avalos G. The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics. Abstr. Appl. Anal. 1 (1996) 203-217
    • (1996) Abstr. Appl. Anal. , vol.1 , pp. 203-217
    • Avalos, G.1
  • 3
    • 0030369215 scopus 로고    scopus 로고
    • Differential Riccati equation for the active control of a problem in structural acoustics
    • Avalos G., and Lasiecka I. Differential Riccati equation for the active control of a problem in structural acoustics. J. Optim. Theory Appl. 91 (1996) 695-728
    • (1996) J. Optim. Theory Appl. , vol.91 , pp. 695-728
    • Avalos, G.1    Lasiecka, I.2
  • 4
    • 0000026765 scopus 로고    scopus 로고
    • The strong stability arising from a coupled hyperbolic/parabolic system
    • Avalos G., and Lasiecka I. The strong stability arising from a coupled hyperbolic/parabolic system. Semigroup Forum 57 (1998) 278-292
    • (1998) Semigroup Forum , vol.57 , pp. 278-292
    • Avalos, G.1    Lasiecka, I.2
  • 7
    • 0012226875 scopus 로고    scopus 로고
    • Exponential decay rates for structural acoustic model with an overdamping on the interface and boundary layer dissipation
    • Bucci F., and Lasiecka I. Exponential decay rates for structural acoustic model with an overdamping on the interface and boundary layer dissipation. Appl. Anal. 81 (2002) 977-999
    • (2002) Appl. Anal. , vol.81 , pp. 977-999
    • Bucci, F.1    Lasiecka, I.2
  • 8
    • 33646102424 scopus 로고    scopus 로고
    • I.D. Chueshov, Dynamics of Von Kármán plate in a potential flow of gas: Rigorous results and unsolved problems, in: Proc. 16th IMACS World Congress, 2000
  • 9
    • 3142720390 scopus 로고    scopus 로고
    • Dynamic boundary stabilization of a Reissner-Mindlin plate with Timoshenko beam
    • Grobbelaar-Van Dalsen M. Dynamic boundary stabilization of a Reissner-Mindlin plate with Timoshenko beam. Math. Methods Appl. Sci. 27 (2004) 1301-1315
    • (2004) Math. Methods Appl. Sci. , vol.27 , pp. 1301-1315
    • Grobbelaar-Van Dalsen, M.1
  • 14
    • 0001040417 scopus 로고
    • Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
    • Lagnese J.E., and Leugering G. Uniform stabilization of a nonlinear beam by nonlinear boundary feedback. J. Differential Equations 91 (1991) 355-388
    • (1991) J. Differential Equations , vol.91 , pp. 355-388
    • Lagnese, J.E.1    Leugering, G.2
  • 16
    • 0000688307 scopus 로고
    • Exact controllability of the wave equation with Neumann boundary control
    • Lasiecka I., and Triggiani R. Exact controllability of the wave equation with Neumann boundary control. Appl. Math. Optim. 19 (1989) 243-290
    • (1989) Appl. Math. Optim. , vol.19 , pp. 243-290
    • Lasiecka, I.1    Triggiani, R.2
  • 17
    • 0026838533 scopus 로고
    • Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
    • Lasiecka I., and Triggiani R. Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions. Appl. Math. Optim. 25 (1992) 189-224
    • (1992) Appl. Math. Optim. , vol.25 , pp. 189-224
    • Lasiecka, I.1    Triggiani, R.2
  • 18
    • 84972506618 scopus 로고
    • Uniform boundary stabilization of semilinear wave equation with nonlinear boundary damping
    • Lasiecka I., and Tataru D. Uniform boundary stabilization of semilinear wave equation with nonlinear boundary damping. Differential Integral Equations 6 (1993) 507-533
    • (1993) Differential Integral Equations , vol.6 , pp. 507-533
    • Lasiecka, I.1    Tataru, D.2
  • 19
    • 0032338703 scopus 로고    scopus 로고
    • Mathematical control theory in structural acoustic problems
    • Lasiecka I. Mathematical control theory in structural acoustic problems. Math. Models Methods Appl. Sci. 8 (1998) 1119-1153
    • (1998) Math. Models Methods Appl. Sci. , vol.8 , pp. 1119-1153
    • Lasiecka, I.1
  • 20
    • 0032121887 scopus 로고    scopus 로고
    • Uniform stabilizability of a full Von Kármán system with nonlinear feedback
    • Lasiecka I. Uniform stabilizability of a full Von Kármán system with nonlinear feedback. SIAM J. Control Optim. 36 (1998) 1376-1422
    • (1998) SIAM J. Control Optim. , vol.36 , pp. 1376-1422
    • Lasiecka, I.1
  • 21
    • 0033074721 scopus 로고    scopus 로고
    • Boundary stabilization of a 3-dimensional structural acoustic model
    • Lasiecka I. Boundary stabilization of a 3-dimensional structural acoustic model. J. Math. Pures Appl. 78 (1999) 203-232
    • (1999) J. Math. Pures Appl. , vol.78 , pp. 203-232
    • Lasiecka, I.1
  • 24
    • 0036568076 scopus 로고    scopus 로고
    • Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects
    • Lasiecka I., and Lebiedzik C. Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects. Nonlinear Anal. 49 (2002) 703-735
    • (2002) Nonlinear Anal. , vol.49 , pp. 703-735
    • Lasiecka, I.1    Lebiedzik, C.2
  • 25
    • 0036184704 scopus 로고    scopus 로고
    • Mathematical Control Theory of Coupled PDE's
    • SIAM, Philadelphia, PA
    • Lasiecka I. Mathematical Control Theory of Coupled PDE's. NSF-CBMS Lecture Notes (2002), SIAM, Philadelphia, PA
    • (2002) NSF-CBMS Lecture Notes
    • Lasiecka, I.1
  • 27
    • 84973010670 scopus 로고
    • Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates
    • Mindlin R.D. Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates. J. Appl. Mech. 18 (1951) 31-38
    • (1951) J. Appl. Mech. , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 28
    • 85162732170 scopus 로고
    • On the theory of bending of elastic plates
    • Reissner E. On the theory of bending of elastic plates. J. Math. Phys. 23 (1944) 184-191
    • (1944) J. Math. Phys. , vol.23 , pp. 184-191
    • Reissner, E.1
  • 31
    • 0000849966 scopus 로고
    • On the correction for shear of the differential equation for transverse vibrations of prismatic bars
    • reprinted in
    • Timoshenko S.P. On the correction for shear of the differential equation for transverse vibrations of prismatic bars. Philos. Magazine 41 (1921) 744-746 reprinted in
    • (1921) Philos. Magazine , vol.41 , pp. 744-746
    • Timoshenko, S.P.1


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