Taking into account the multidimensionality and multidirectional rotation of the shaft elements in the calculation of stationary vibration

An algorithm for calculating vibration parameters has been developed on the basis of a previously created mathematical model of the task in which the influence of additional factors was taken into account, which is carried out when calculating the vibration parameters of a quasi-one-dimensional model. On the basis of a discrete version of the method of partial responses, an algorithm for calculating vibration parameters was developed taking into account the rotation of any element of the shaft in any direction and at any angular velocity. A corresponding program for calculating vibration parameters (amplitude values of displacements, internal forces and support reactions) has been developed. A series of calculations were performed that allowed analyzing the effect of rotation of the shaft elements (taking into account different angular velocities) on natural frequencies, as well as on the amplitude of the transverse displacement, at a characteristic point. A series of calculations were performed that allowed us to estimate the influence of the direction of rotation on the vibration parameters of the shaft line.