Flexural-Torsional Vibration Analysis for the Rotating Systems Using Discrete-Continuous Mechanical Models

• Autorzy: Szolc T.
• Konferencja: Polish-German Workshop on Dynamical Problems in Mechanical Systems (5 ; 31.08-6.08.1997 ; Zakopane, Poland)
• Języki publikacji: EN

Abstrakty

EN

In the paper a discrete-continuous modeling of the rotating systems under coupled flexural-torsional vibrations is proposed. In the discrete-continuous mechanical model segments of the rotating shafts are represented by cylindrical flexurally and torsionally deformable continuous visco-elastic elements mutually connected according to the structure of the real system in the form of a stepped shaft. To appropriate shaft cross-sections by means of mass-less membranes there are attached rigid rings representing rotors, disks, gears, flywheels and others. The spatial flexural and torsional motion of the shaft cross-sections is governed by partial differential equations with self-adjoint operators. By boundary conditions there are described concentrated external excitations, motion of the rigid rings as well as unbalances and interactions with the supports which usually couple rotor shaft flexural vibrations with torsional ones. The system dynamic response is sought in the form of series using analytically obtained eigenfunctions. All non-linear, parametric and gyroscopic terms standing in the equations of motion and boundary conditions are regarded as external excitations and they are expanded in series in the eigenfunctions. This approach leads to a system of parametric or non-linear ordinary differential equations for the Lagrange co-ordinates. As numerical examples for coupled flexural-torsional vibrations there are presented results obtained for the rotor machine, geared drive system and for the railway wheelset interacting with a track.

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 1998
• Tom: Vol. 20
• Strony: 275--286
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Szolc T.

• Institute of Fundamental Technological Research, Świętokrzyska 21, 00-049 Warsaw, Poland