支持点損失ある振子の自励振動

概要

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In case an Impulse excites a vibrator to maintain its vibration, the period of the viblation is calculated through Airy's formula. If the impulse is given at an instant where the mass of the vibrator passes its zero point, the period of the impules excited vibration becomes same with that of the free damped vibration. Is the above statement also correct when the damping is due to energy flow from the supporting point ? This is the problem that should be made clear in this article. If the supporting point is perfectly rigid, no energy flow occurs from that point. In this problem energy flow from the supporting point is assumed, and therefore the supporting point may move a little. From this stand point our supporting point is replaced by a large mass with certain quantity of stiffness and damping. Then the motion of the vibrator ooupled with the movement of its supporting point becomes a system of two degrees of freedom as shown in Fig. 3. Now the system excited by an impulse can readily analysed. The result shows that the Airy's theorem should be modified a little. In this system, if the impulse is given at an instant where the mass of the vibrator passes through a certain point given by equation (25) the period of the impulse excited vibration becomes same with that of the free damped vibration.
社団法人日本時計学会の論文
1979-03-10