コイルばねを傳わる彈性波について

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In treating the problem of surging and shock absorbing action of a coil spring, the velocities of waves propagated along the spring are usually assumed to have constant values √<K/M>, independent of their wave lengths, where K denotes spring constant for extension or torsion, M the mass, per unit length of the spring axis. This assumption, which is equivalent to replacing the spring by a straight rod with the same elasticity and density as the spring, is considered to be correct approximately for very long waves, but the behavior of the spring for such short waves or impulses as the above examples is not known to us. This paper clarifies these points by analysing the dispersive characters of the coil spring. According to the results, there are three waves, which coexist and couple with each other ; their velocities along the wire are v_1, v_2 and v_3 respectively. v_2- and v_2-waves correspond to the longitudinal waves along the axis of the spring, and v_3-wave the rotational wave. v_1 and v_3 have constant values √<K/M> for long wave length, and very small minimums at the wave length equal to the coil circumference. For very short wave length, the curvature of the wire may be neglected reasonably. (Received January 9, 1952)
宇宙航空研究開発機構の論文
1952-02-28