Analysis of Vibration Characteristics and Power Flow of a Stiffened Plate Structure with Elastic Boundary Restraints
The vibration characteristic of the stiffened thin plate structure with elastic boundary constraints is studied by means of the energy method.The transverses vibration displacement of the structure is expressed by the boundary smoothed Fourier series.Translational restraint springs and rotational restraint springs are introduced at the boundary of the stiffened thin plate,and arbitrary boundary conditions can be simulated by adjusting the stiffness of the restraining springs.The total potential energy,total kinetic energy,and the external excitation work terms of the stiffened thin plate structure with elastic boundary constraints are presented according to the energy principle.Then,the vibration behavior of the stiffened thin plate structure with elastic boundary conditions are obtained by solving the standard characteristic equations with the Rayleigh-Ritz method.Via the numerical examples,the correctness and reliability of the current model in solving the vibration characteristics of the stiffened plate with elastic boundary conditions is verified.The influence of the rib position,the aspect ratio,and the boundary restraining stiffness on the plate vibration characteristic and power flow behavior are studied.Current method shows the advantage of fast convergence,high efficiency,and precision,which provides an effective analysis method for studying the dynamic behaviors of the stiffened thin plate structures with elastic boundary conditions.
vibration and wavestiffened paneltransverse vibrationelastic boundary restraintFourier seriespower flow
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