โ Scribed by W. KIM; A. ARGENTO; R.A. SCOTT
No coin nor oath required. For personal study only.
A mechanical model is developed of a tapered, "lament-wound composite, Timoshenko shaft which is rotating at constant speed about its axis. The model represents an extended length cutting tool intended for use in high-speed operations. The e!ects of shaft tapering and the use of composite materials on the structure's free response are studied. The spatial solutions to the equations of motion are carried out using the general Galerkin method. It is found that by tapering, bending natural frequencies and sti!ness can be signi"cantly increased over those of uniform shafts having the same volume and made of the same material. The potential for designing a taper function to meet a particular cutting need is also discussed. Various composite laminate cases are treated and it is found that improvements of performance are possible over equivalent steel shafts.
๐ SIMILAR VOLUMES
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, "lament-wound composite, Timoshenko shaft having clamped}free supports, and subjected to #uctuating, de#ection-depe
The governing equations for linear vibration of a rotating Timoshenko beam are derived by the d&Alembert principle and the virtual work principle. In order to capture all inertia e!ect and coupling between extensional and #exural deformation, the consistent linearization of the fully geometrically n