Kazuo Katayama

Dynamic stability of Timoshenko columns subjected to subtangential forces

Abstract This paper deals with the dynamic stability of cantilevered Timoshenko vertical columns having a tip rigid body and subjected to the action of subtangential forces. Here the tip rigid body assumes a rocket motor. The subtangential force can be realized by a combined action of the dead load of the tip rigid body and the pure follower thrust induced by the rocket motor. It is assumed the rocket motor is a rigid body, not a mass point as it has been assumed so far. It is shown that the tip rigid body does not affect the critical force for α≤0.5, whereas for α>0.5, the tip rigid body parameters M∗, J∗ and L∗ R have a great effect on the flutter force. The effect of the shear deformation parameter for S≥104 on the critical force is very small. The rotary inertia parameter for R

Effect of Concentrated Mass on Stability of Cantilevers Under Rocket Thrust

The paper describes the effect of an intermediate concentrated mass on the dynamic stability of cantilevered columns subjected to a rocket thrust. It is assumed that the rocket thrust is produced by the installation of a solid rocket motor at the tip end of the cantilevered columns having the intermediate mass. The rocket motor is assumed to be a rigid body having finite sizes but not a mass point. The importance of the magnitude and size of the intermediate mass is demonstrated by theory and experiment. The experimental results are compared with theoretical predictions made by taking into account the mass and size of the rocket motor as well as intermediate mass effect. The internal damping was neglected in the theoretical predictions. It is shown that theoretical stability predictions and experimental flutter limits agreed well.