解析モデリングが平行流を受ける片持ち矩形平板のフラッタに与える影響

抄録

The dynamic stability of cantilevered flexible plate is investigated. In this paper, in order to consider the accuracy of dynamic stability analysis, analysis methods using the following three modelings are compared and discussed. First modeling is derived by circulatory aerodynamic theory. In this first modeling, the source is considered on the plate and the vortex sheet behind the trailing edge of the plate. Second modeling is derived by oscillating wing theory. In this second modeling, the flow around the plate is assumed to be distributed vortex continuously. By oscillating the plate, this vortex is considered to exist on the plate as the bound vortex and to exist behind the trailing edge of the plate as the trailing vortex, and these vortices satisfy Kelvin theory. Third modeling is derived by an analysis method applying Fourier transform to Laplace's equation and giving boundary condition. For using the Fourier transform, it is necessary to set boundary conditions of fluid force at the leading edge and the trailing edge of the plate. The complex eigenvalue analysis can be performed for the stability analysis by using these fluid forces. The dynamic stability of the plate is discussed by comparing three solutions. Here, the solution by using the circulatory aerodynamic theory is called as the circulatory solution, and the solution by using oscillating wing theory is called as the oscillating wing solution, and moreover, the solution by using Fourier transform solution is called as the Fourier solution.