Self-excited vibration of a palisade in 2D subsonic, transonic and supersonic flow

In recent years coupled fluid-structure problems have appeared. The computational method used to solve this problem was based on a time-marching algorithm, so it was natural to consider a time domain flutter analysis method. The time domain method of flutter analysis is based on the simultaneous integration in time of the equation of motion for the structure and the fluid. The flow model is capable of representing 2D flows over a wide Mach number range from low subsonic to supersonic, including transonic flows. The aerodynamic model fully accounts for blade thickness and camber and the angle-of-attack effects. The unsteady Euler equations are integrated by using the explicit monotonous second-order accurate Godunov scheme. The blade is modelled on the basis of extended beam theory including a bending-bending-torsional vibration and also by the simple two-degree of freedom model. The equation of motion is obtained by using the extended Hamilton's principle and the Ritz method. The direct integration method is used to find a solution of the coupled fluid-structure problem. In this work the comparison of numerical and experimental results is presented for the first and fourth standard configurations