Abstract
A simple method of calculation of lateral critical speeds of flexible rotors with rigid supports is presents is presented. The method is mainly based on the former work of Myklestad and Prohl and considers the shaft to be divided into a number of finite elements connected by massless elastic sections. A digital computer program is then prepared to solve the finite equations resulting from the analysis. By means of this program, the critical speeds of flexible rotors can be predicted at different stiffnesses of the rigid supports and mode shape of the whirling rotor is predicted. An actual cases of a centrifugal compressor rotor having different characteristics is considered.
Highlights
ABSTRACT, A silllple method ot calculation at lateral critical speeds ot nexible rotors with rig1d supports is pres....ted
The aethod is _iDly based on the tormer work ot Myklestad and ~hl and considers the ah&tt to be deTided into a number ot t1nite eleaente connected by massless elastic sections
By aeans ot this progra.m, the critical speed.. ot ne:dble rotors can be predicted at difterent stittnesses ot the rigid supporta and the mode ah&pe ot the whirliog rotor is predioted
Summary
~t the other end of the shaft ( overhanged end) the shear foree and bending moment should equal zero, so that, and "right' 0. Where the subscripts I and II denote boundsry conditions of parts I and II of the solution... Condition existing when ' 1 r ght and I'lrightare both zero is that the determinant, D. ("right Vright )1 - ("right 'right ). Plotting a curve between the values of the determinant D and the speed ot the roto~. The intersections ot the ctIX"l'e with the axis representing the rotor speed give the crit1cal speeds. The compute~ prograJII is prepared to supply the mode shape at the corresponding cri"t.1cal speeds
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