Large deflections of a structurally damped panel in a subsonic flow

作者: Abhishek Balakrishna , Justin T. Webster

DOI: 10.1007/S11071-020-05805-1

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摘要: The large deflections of panels in subsonic flow are considered, specifically a fully clamped von Karman plate accounting for both rotational inertia filaments and (mild) structural damping. panel is taken to be embedded the boundary positive half-space $$\mathbb R^3$$ containing linear, potential flow. Solutions constructed via semigroup approach despite lack natural dissipativity associated with generator linear dynamics. flow–plate dynamics then reduced—via an explicit Neumann-to-Dirichlet (downwash-to-pressure) solver flow—to memory-type dynamical system plate. For non-conservative dynamics, global attractor explicitly Lyapunov recent quasi-stability methods. Finally, it shown that, compactness finiteness dissipation integral, all trajectories converge strongly set stationary states.

参考文章(34)
Philippe G. Ciarlet, Patrick Rabier, Les équations de Von Kármán Springer Berlin Heidelberg. ,(1980) , 10.1007/BFB0091528
Irena Lasiecka, Justin Webster, Generation of bounded semigroups in nonlinear subsonic flow–structure interactions with boundary dissipation Mathematical Methods in The Applied Sciences. ,vol. 36, pp. 1995- 2010 ,(2011) , 10.1002/MMA.1518
Sadao Miyatake, Mixed problem for hyperbolic equation of second order Journal of Mathematics of Kyoto University. ,vol. 13, pp. 435- 487 ,(1973) , 10.1215/KJM/1250523319
Iryna Ryzhkova, Dynamics of a thermoelastic von Kármán plate in a subsonic gas flow Zeitschrift für Angewandte Mathematik und Physik. ,vol. 58, pp. 246- 261 ,(2007) , 10.1007/S00033-006-0080-7