TO ASSESS THE STRUCTURAL AND TECHNOLOGICAL CHANGES IN THE PARAMETERS OF THE PRECISION ROTARY SYSTEM ACCORDING TO THE SPECIFIED FUNCTIONS OF SENSITIVITY AND DEVIATION OF THE SPECTRUM OF OWN FREQUENCIES
Keywords:сonstruction, press-threaded connection, dynamic parameters, structural model, deformation, deviation, frequency and amplitude of oscillations, sensitivity of dynamic parameters, algorithm, sensitivity matrix, methodology
The question of precision rotary systems with artificial elements of pretension, which significantly affect the rigidity and displacement of resonance frequencies and, as a result, lead to the appearance of very conditioned sensitivity matrices, has been investigated.
The mathematical model of the system is identified. With spatial oscillations of the system, two of the most typical and important are defined: fluctuations in vibration force along the rotor axis and in a direction perpendicular to it. Designed diagnostic operator as a complete sensitivity matrix. The proposed algorithm for the diagnosis of parameters of multidimensional mechanical fluctuation systems using computer technology.
In any prefabricated design, the parameters of the system during assembly may differ from the design values and change during operation. In order to predict the consequences of this, it is necessary to know the reaction of the system to these changes. At the same time, in many cases, it is almost impossible to assess experimentally the effect of parameters on the behavior of the system.
Therefore, there is a need to study and analyze the effect of changes in parameters on the properties of the system analytically, that is, according to the known mathematical model of the system.
Analytical study of the dynamics of such systems is a very difficult task, but determining the sensitivity functions for this type of compound experimentally is another much more complex technological task, so their characteristics should be obtained by different methods of identification.
The main purpose of this work is to determine: the identified mathematical model of the system, to offer a methodology and algorithm for the diagnosis of parameters of multidimensional mechanical fluctuation systems using computer technology.
Of course, the presented algorithm is most suitable for the diagnosis of parameters of multidimensional fluctuation systems, but of course, in this case, widespread use of modern computer technology is necessary.
If in the system it is necessary to determine the degree of influence of various physical parameters on the vector of the state, then it is necessary to consider the matrix of relative sensitivity. Sensitivity matrices allow determining sensitive and invariant parameters to the state vector. This information answers the question of which parameters determine the vibrational characteristics of the object to the greatest extent. In addition, the determination of the sensitivity matrix can significantly simplify the dynamic model of the system, leaving only those parameters that most determine the vibrational state of the system.
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