Figure a shows a Houdaille damper, which is a device attached to an engine crankshaft to reduce vibrations. The damper has an inertia Id that is free to rotate within an enclosure filled with viscous fluid. The inertia Ip is the inertia of the fan-belt pulley. Modeling the crankshaft as a tensional spring kT, the damper system can be modeled as shown in part (b) of the figure. Derive the equation of motion with the angular displacements θp and θd as the outputs and the crankshaft angular displacement ( as the input.
a.

b.

Transcribed Image Text:

Viscous fluid Crankshaft dt Pulley Ia CT kr