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B Equivalent Lumped System and Mathematical Model
B Whirl of a Distributed Beam Subjected to
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absence of whirl aggravated whirl amplitude assembly axial load Axial Nut Position axial position build-up Chapter coefficient of friction compatible whirl frequency condition of orthogonality Coulomb friction damping ratio Dashpot deflection determined direction driven speed driving force driving friction driving torque effect end conditions equation of motion excitation experimental forcing function friction angle frictional force FRQR given by Eq grease illustrated in Fig increase induced inertia forces Input Torque interface lathe-way oil lubricant mass mode shape molybdenum disulfide natural frequency nonrotating Normal Forces normal mode parameters power screw radial clearance radial nut clearance response resulting reverse whirl roller chain rotating rotative speed shaft displacement shaft system shaft whirl shown in Fig simply-supported SLGR steady-state whirl system damping tangential test apparatus thread surfaces three-support transducers transient uniform beam velocity vibratory energy virtual displacement viscous damping whirl cycle WHIRL FREQUENCY RATIO whirl in power whirling shaft xc/L zero