Studies on the Vibration of Agricultural Engine (VII)

Analytical Solution of Absorbing Vibration with Shaking Force used the Laplace Transformation

Abstract

For decision of the buffing factor of oil damper necessary for the vibration absorbing systems, the author assumed that oil goes in and out through the center of the orifice of the damping piston, and the result of calculation was optimum value, Then, the theoretical equation of natural vibration and forced vibration of the system in that spring constant of rubber used together with the damper is changeable freely, was required and the author calculated for the case that the revolution of the experimental engine is 1200rpm and vibration shaking force is 264kg. In the result it came clear that those theoretically considered equations are satisfied.
Finally, extending the region of this vibration system, the author analytically calculated the relaxation type with deflection of the based frame and applied the “Perturbation Method.” If the phase difference of buffing vibration is very little and engine speed is high, the forced vibration amplitude of this system was decided like these:
(1) The engine amplitude has the same value as the natural oscillation which is decided by the Laplace Transformation.
(2) The based frame amplitude has the same value as the natural oscillation deflection which was calculated based on the statically indeterminate framed Structures.