Yuri S., Vladimir G., Svetlana O.

The influence of gyroscopic effect (GE) on the stability of the rotation of the outrigger shaft, which simulates the unguided rocket stabilized by rotation, is investigated. The distribution of the rigid and density characteristics of rod starts in the form of continuous smooth functions in this case. The distributed centrifugal force and the distributed bending moment, caused by GE, act to the rod after loss of stability. We bring the task to the integration of ordinary differential equation of the 4th order with the variable coefficients relative to the dimensionless function of sagging, using known differential relationships between the internal power factors and the intensity of external loads with the bend. The number of examples for different laws of variation in the density and hardness along the axis of rod is examined. The analysis of the obtained results shows that the calculation GE with a study of those being fast-turning is gross it influences critical frequencies to the side of their increase. The degree of influence in essence is connected with the number of the frequency and parameter of the function of heterogeneity, which characterize extension shaft. Influence GE is reduced with an increase in the extension shaft. Disregard GE leads to the essential errors with a study of the highest frequencies. The degree of influence GE is determined by the function of the heterogeneity for the rods of variable along the axis of hardness. The monotonic growth of functions leads to an increase in the influence GE, monotonic decrease - to the decrease. The position is different for the rods of permanent hardness and variable density: the degree of influence GE is practically identical with different laws of variation density.