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1 Modelling and Optimization of Physical Systems

1 2011

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Stability analysis of the rotor vibration with external and internal damping

Zeman V., Rendlova Z.

Modelling and Optimization of Physical Systems

2011

z. 10

89--96

The paper deals with mathematical modelling of the rotor vibration with external and internal damping effects. The flexible shaft of the rotor with rigid disks is supported on non-isotropic oil-film bearings. An internal and external damping impact on the rotor stability is investigated using eigenvalues of the complex rotor model respecting the antisymmetric gyroscopic and circulatory matrices generated by inertia] and internal damping forces. Non-symetric stiffness and damping bearing matrices depend on rotor speed. The analysis of the effect of various damping parameters on the rotor stability was performed for a simple rotor with one disk.

V clanku je odvozen matematicky model ohyboveho kmitani poddajncho rotacne symetrickeho hfidele s pevne nasazenymi tuhymi disky, ktery je ulozen na neizotropnich loziskach. Komplexni model rotoru zahrnuje gyroskopicke ucinky pusobici na disky i na hridel se spojite rozlozenymi parametry a spojite (pfed diskretizaci MKP) respektuje vliv vnejsiho i vnitfniho tlumeni hfidele. Analyza vlivu tlumeni, provedenä na rotoru s jednim kotoucem, prokazala stabilizujici Cicinek vnejsiho oproti vnitfnimu tlumeni, ktery se vyrazneji uplatnuje u rotoru s diskem mezi lozisky a mene u rotoru s letmo ulozenym diskem. Uvedena metodika analyzy stability mä obecne uplatneni u rotoru ulozenych na izotropnich, orthotropnich i neizotropnich loziskach s parametry tuhosti a tlumeni zavislymi na otackach.