Investigation of radial misalignment influence on dynamics of precise rotor system

Abstract

After presentation of the classification of vibra-tion damping devices for rotation systems developed in Vilnius Gediminas technical university, the problems con-nected with dynamics of rotor system at certain radial mis-alignment of shafts are investigated in the offered work. As object of research is the system of two shafts connected by elastic centrifugal ring coupling. It is established, that in the coupling, connecting radially misaligned shafts, an internal resistance moment to rotation is arising. Using the principle of d’Alamber for rotary movement, the differen-tial equation describing rotation of the second shaft is worked out. The received solutions show, that rotational fluctuations arise in rotating misaligned system. The fre-quency of fluctuations is double the rotation frequency. Results of investigation were applied for rotational vibra-tions reducing of rotor systems.

Remiantis Vilniaus Gedimino technikos universitete sukurtų sukamųjų virpesių slopinimo įrenginių klasifikacija, tiriama rotorinės sistemos su nesutampančiomis ašimis dinamikos problema. Sistemą sudaro du velenai, sujungti tampria išcentrine žiedine mova. Nustatyta, kad movoje, jungiančioje velenus, kurių ašys nesutampa radialine kryptimi, kyla vidinis pasipriešinimo momentas. Taikant rotorinei sistemai d’Alambero principą, sudaryta diferencialinė lygtis, aprašanti antrojo veleno sukimąsi. Gauti sprendiniai parodė, kad sistemoje su nesutampančiomis ašimis kyla sukamieji virpesiai, kurių dažnis du kartus didesnis už sistemos sukimosi dažnį. Tyrimų rezultatai panaudoti precizinių rotorinių sistemų sukamiesiems virpesiams mažinti.