Bend effect on vibration pattern

V.2 No 1	91
Bend effect on vibration pattern


As was supposed, the difference between x and y components is only the value of external force amplitude projections, and the solutions before and after the bend do not differ. None the less, the vibration patterns within the indicated regions will differ. In Fig. 3 the typical pattern is shown dependently on the external force inclination angle at the positive angles , and in Fig. 4 – at the negative .

In Fig. 5 the diagrams of typical vibrations in the lines with positive and negative bend angles are shown dependently on the external force momentary phase = t + ₀ . As we can see from the construction, in the region before the bend in all the diagrams the inclined waves propagate. The inclination value equals to the angle of an external force inclination to the axis x. During the vibration process all elements move elliptically, in full correspondence with the multiple experimental facts (see e.g. [13, pp.300 – 301]). In the after-bend region, with positive we see the decreasing amplitude of a longitudinal component, and vice versa with negative . At the same time, with the positive the wave front slop grows with growing , and with the negative it diminishes with growing .