両端を弾性支持した剛体棒のジャイロダンパによる振幅低減の数値計算

抄録

　This paper reports a numerical study about vibration suppression of a rigid rod utilizing gyroscopic effect. Undesirable vibrations occur in vehicles such as automobiles and trains, which can be ideally simplified into an elastically supported rigid rod. The authors aimed to suppress the vibration of a rigid rod supported by superconductive magnetic levitation and suggested a gyroscopic damping as a method. Gyroscopic dampers are often utilized to suppress rotational motions, and rarely used in systems which vibrates in a translational motion. In this study, both ends of the rigid rod are supported by superconducting bulks whose positions are fixed, and the longitudinal axis of the rod is assumed to undergo a planar motion, therefore its motion can be described with 2 DOF. With the rotation of the gyroscopic damper, the system’s dynamical behavior can be regarded as 3 DOF, hence, in theory, the vibration of the rod can be suppressed. Optimal conditions are derived by fixed point theory, followed by a numerical calculation, and the results were successful.