Making use of a theoretical formula which expresses approximately, under the consideration of viscosity, the relation of floating force F and the lift of the circular disc valve which has an overlap between valve disc and seat, the equation of motion on valve is established, and the condition of valve vibration is discussed by means of Routh's criterion. Then as an example, the vibration of a water-supply cock is studied. The results obtained reveal that, in case where the radius of valve disc is relatively larger, when compared with the radius of valve seat. the effective pressure P is high and ∂F/∂P is negative, a selfexcited vibration appears, if the lift of valve is smaller, and then chattering occurs owing to the disappearance of a restoring force, if the lift is higher. In order to stop the vibration, it is effective to make small the overlap of valve disc and seat.
Read full abstract