Effect of modeling on dynamic stability of a flexible cantilevered plate subjected to a parallel flow

First International Symposium on Flutter and its Application (May 15-17, 2016. Mielparque-tokyo), Minato-ku, Tokyo, Japan

The stability of a flexible cantilevered plate subjected to an axial flow is investigated. As the flexible flat plates, the papers in a high speed printing machine, the thin plastic and metal films, the fluttering flag are enumerated. The fluid is assumed to be treated as an ideal fluid in a subsonic domain, and the fluid pressure is calculated using the velocity potential theory. The coupled equation of motion of a flexible cantilevered plate is derived taking into consideration with the added mass, added damping and added stiffness respectively. The complex eigenvalue analysis is performed for the stability analysis. In order to consider the accuracy of dynamic stability analysis, three stability analysis methods are performed. Firstly, the analysis method based on boundary conditions in the half space surrounded by the leading edge and the trailing edge of a plate is performed. Hereafter, let's call it the coupled solution. Secondly, the analysis method based on the non circulatory aerodynamic theory is performed. Let's call it the non circulatory solution. Thirdly, the analysis method which fulfills the Kutta's condition is performed. Let's call it the circulatory solution. The following matters are clarified through the comparison of three solutions. When the mass ratio of a fluid system for a structure system is small, the flutter of the lower mode such as a second mode become predominant. And, when the mass ratio is large, the higher mode flutter appears. The critical flow velocity of the circulatory solution becomes lower than those of the coupled solution and the non circulatory solution when the mass ratio becomes low. On the other hand, the critical flow velocity of the circulatory solution becomes higher than those of the coupled solution and the non circulatory solution when the mass ratio becomes high.

形態: カラー図版あり

Physical characteristics: Original contains color illustrations

資料番号: AA1630046008

レポート番号: JAXA-SP-16-008E