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The structure of a mechanical model of fibre material spun in the free zone of a unit for production of nonwovens is proposed. The deformation zone is analyzed with the electromechanical analogies method. A mathematical model of the deformation zone of the fibre product is represented as the object of automatic regulation corresponding to the direct analogy of the physical system of spinning, transport, and winding. The deformation zone was investigated for stability and the presence of auto-oscillations. Parametric optimization of the conditions of transport of the fibre material was performed to obtain satisfactory quality of the transitional process and minimum extremum of the functional of the process parameter.

The conditions that function We(z), which ensures the minimum acceptable time of the switching process, must satisfy can be formulated as follows: — function We(z) should have nulls equal to the poles of Wn(z) positioned in the unit circle or outside of plane z; — function W(z) or 1 — We(z) should have all nulls of Wn(z) located in the unit circle or outside of plane z as nulls; — function W(z) or 1 — We(z) should contain z−1 as cofactor z−1. If Wn(z) is an unstable unit impulse response, then F(z) should contain all poles of Wn(z) lying in the unit circle or outside of plane z as nulls (with the exception of the poles for z = 1). If Wn(z) has nulls located in or outside of the unit circle, these nulls must be nulls of W(z) = 1 − (1 − z−1). In these two cases, the briefest time of the switching process will exceed the value which can be obtained for a system with a stable unit impulse response Wn(z) which has no nulls in or outside of the unit circle of plane z.

Three-parameter and four-parameter models of mechanical systems were analyzed to assess the physicomechanical properties of polymer materials. An electromechanical analogy method was developed for characterizing the physicomechanical properties of polymer and fibre materials; one feature of the method is the physical directivity, i.e., representation of the elements of mechanical systems in the form of equivalent electrical circuits. The quadrupole method was used for creating electrical models of the mechanical systems examined, which consisted of elastic, inertial, and friction elements.

A concept for building the structure and studying controllable electrotechnical complexes for manufacturing equipment that increase the efficiency of saving energy and resources by optimizing the speed regimes is proposed. Selection of the velocity diagram of transportation, spinning, and winding of synthetic fibres and nonwovens should precede the process study to determine the optimum regime indexes.