an investigation the effects of geometric tolerances on the natural frequencies of rotating shafts

this paper presents the effects of geometric tolerances on the rotating shafts natural frequencies. due to modeling the tolerances, a code is written in matlab 2013 software that produces deviated points. deviated points are controlled by different geometric tolerances, including cylindricity, total run-out and coaxiality tolerances. final surfaces and models passing through the points are created using solidworks 2013 software and finally modal analysis is carried out with the fe software. it is observed whatever the natural frequency is higher or the geometric tolerances are greater, the real and ideal shafts natural frequencies are more distant. also difference percentage between ideal and real frequencies is investigated. the results show that the percentage value is approximately constant for every mode shapes.