$ Simple Example to illustrate use of ridgyro alter $ Free Vibrations with Rotation $ $ ============================================================= $ sol 107 diag 8 include 'ridgyroa.v2001' cend $ title=ridgyro Example subtitle=Free Vibrations with Rotation echo=sort $ disp=all cmethod=10 $ begin bulk $ param, grdpnt, 0 $ eigc, 10, hess,,,,, 10 $ $ Reference: 500 Rotations/Minute param, rpm, 500. $ dti, rgyro, 0 $ Rec #, Grid, Iaa , Axis, Factor dti, rgyro, 1 , 3, 200., 1, 1. $ $ Remarks: $ - Axis: 1=x-axis, 2=y-axis, 3=z-axis $ - Iaa is the moment of inertia with respect to the rotation $ axis. $ - The speed of rotations is Factor*RPM, given in rotations per $ minute. $ $include 'model.bdf' $ $ The model consists of a shaft of length 1m which is rigidly $ supported at both ends. In the middle of the shaft there $ is a rigid rotor. $ $ $ z ^ $ | III Rotor $ III/ $ | III | $ |-------------------------| --> x $ |1 2 I3I 4 5| $ III $ III $ $ Problem Data: $ $ Shaft: Circular Cross Section with a radius of 0.01m $ Material is steel with a Young's modulus $ of 2.E11N/m and a mass density of 7850kg/m^3. $ $ Rotor: Mass: m =10kg $ Polar Moment of Inertia: $ Ixx=200kgm^2 $ Diametral Moments of Inertia: $ Iyy=Izz=100kgm^2 $ $ Units: N, kg, m $ $ ============================================================= $ $ Data of the Shaft $ grid, 1,, 0., 0., 0.,, 123456 =, *4,, *1.,== grid, 2,, 0.25 =, *1,, *0.25,== =(1) $ cbeam, 1, 1, 1, 2, 0., 1. =, *1, =, *1, *1, == =(2) $ pbeaml, 1, 1,, rod , 0.01 mat1, 1, 2.E11,, 0.1, 7850. $ $ Data of the Rotor $ conm2, 100, 3,, 10., , 200.,, 100.,,, 100. enddata