110
E. Chircan et al.
Fig. 3 Eigen pulsations for a
beam with L = 0.55 … 0.1 m
(D variable and ω variable).
The first eigenvalue
Fig. 4 Eigen pulsations for
a beam with L = 0.55 … 1 m
(D variable and ω variable).
The fifth eigenvalue
it is determined whether the matrix is positively defined. If it is negatively defined
then the beam enters into a field of instability. In the paper, the stiffness matrix was
analyzed for different sets of beam length, diameter, and angular speeds with which
the beam is rotated in a centrifugal field. Figures 5, 6 and 7 show these results. The
areas in which we have instability are hatched in the figure.
4 Conclusions
Operation of a machine element that can be modeled as a beam, being in a centrifugal
field, can lead to instability phenomena, especially for the reason that the rotations
can be found frequently in technical applications. For this reason, it is the question
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