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

This paper examines the effects of geometric tolerances on the natural frequencies of rotating shafts. In order to model the tolerances, a code is written in MATLAB 2013 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 and finally modal analysis is carried out with FE software. It is observed whenever the natural frequency is higher or the geometric tolerances are greater, natural frequencies of the real and ideal shafts are more distant. Also, the difference percentage between ideal and real frequencies is investigated. The results show that the percentage value is approximately constant for every mode shapes.