In this article I would like to outline the alternative method in solving irrational inequations, which students meet in the course of mathematic analysis studies. Irrational equations are comprehensive for the students because of the possibility of the mathematical proof of results, but the algebraic method in solving inequations is much more complicated. Alternative graphical method is not that easy to proceed with, but it is much well-arranged and less sophisticated.
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In the paper vibrations of mechanical systems torsionally deformed and having a local nonlinearity with a characteristic of a soft type are discussed. The nonlinearity is described by irrational functions and in the study the discrete-continuous models are applied. The numerical calculations are focused on the effect of the local nonlinearity on displacements and dynamic forces in the considered models.
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