FORCED VIBRATION AND DYNAMIC STABILITY OF A ROTATING TAPERED COMPOSITE TIMOSHENKO SHAFT: BENDING MOTIONS IN END-MILLING OPERATIONS

The response and stability of a high-speed extended length endmill subjected to cutting forces typical of milling operations are studied. The system is modelled as a rotating, tapered, filament-wound composite, Timoshenko shaft having clamped–free supports, and subjected to fluctuating, deflection-dependent, cutting-type end loads, including regenerative delay effects. External and internal viscous damping are also included in the model. The general Galerkin method is used to satisfy spatial dependence in the system equations, and the systemʹs stability and forced response are determined using various techniques. From these, it is found that improvements of performance are possible by tapering and using composite materials.