A block diagram of the mechanical part of the extruder drive was developed. The effect of the elasticity of the mechanical part of the extruder takeup shaft on the dynamic characteristics of the electric drive was determined. The ACS quality indexes characterizing the dynamic properties of the extruder control channel were obtained.The multimotor, multimass electrical system for a controllable Reicofi l synthetic fi bre and nonwovens production complex consists of a number of concentrated and distributed masses joined by mechanical transmissions. In view of the possibilities of the equivalence of multimass mechanical systems, we will limit the examination to the mechanical part of the extruder takeup shaft in the form of two masses with an elastic weightless transmission that obeys Hooke's law. We assign the motor rotor masses, the clutch between the motor shaft and the reducing gear shaft, and the gear wheels to one of the masses on this shaft. We designate the total moment of inertia of these parts as the moment of inertia brought to the shaft of an AM -J 2 . We assign the mass of the screw channel that rotates in a cylinder with an inserted wear-resistant lining to another mass -J p p r c . The motor moment M d and elastic moment M e that counteracts it in the transmission will act from the motor in this system, and the elastic moment M e and counteracting moment M s will act from the screw channel. The rigidity of the mechanical transmission will be evaluated with rigidity coeffi cient C, and the viscous friction (including internal friction) in the material of the transmission takeup shaft will be evaluated with coeffi cient . With the simplifi cations applied, the equations of equilibrium of a calculated two-mass extruder drive system in dynamic conditions can be written in relative increments and operational form:(1)where µ d = M d /M s ; µ e = M e /M c ; µ s = M s /M s are the relative increments of the moments of the system; d/c, d= d / s , T md = J 2 s /M s , T mm = s /M s are the relative increments of the rotational speeds and mechanical time constants of the motor and working parts of the extruder brought to the takeup shaft; s is the steady-state rotational speed of the motor; U d is the stator voltage of the asynchronous motor; T = /C; T s = M s /(C s ) are time constants characterizing the dynamic properties of the elastic transmission; p is a differentiation operator.A block diagram of the mechanical part of the electrical system with consideration of the elasticity and clearance was compiled in accordance with Eqs. (1) (Fig.
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.The manufacturing equipment in textile plants and machines for production of synthetic fibres and nonwoven materials have many features that affect the statement and methods of solving problems of increasing the efficiency of saving energy and resources and their implementation due to control of the speed regimes. For this reason, correspondence between the real and design-defined laws of movement of the working parts is the most important operating characteristic of the machines and mechanisms [1].Movements, linear velocity and rotation rate of working parts, acceleration of individual machine elements, and indexes of the automatic control systems (ACS) characterizing the static and dynamic properties of electromechanical systems (EMS) are set out as controllable characteristics.To effectively use these characteristics, it is necessary to perform a kinematic and dynamic analysis of operation of the equipment with respect to the process and energetic parameters.Mathematical models of the machines and their units, described by systems of differential equations, are the typical, most common method of theoretical investigation. Despite the simplifications that arise in composing a mathematical model of a real object, the systems of differential equations are very complex due to consideration of the nonlinearity of the characteristics, variability of the parameters, etc. The solution of these equations is an independent problem closely related to the problem of analyzing and calculating the energy-saving modes of EMS.The content of the theoretical and experimental studies was oriented toward combining scientific methods of calculation and increasing the efficiency of textile plants by controlling and optimizing the speed regimes of the working parts of the EMS.The theoretical study of speed regimes requires mathematical modeling of the dynamics of the EMS based on the combined solution of systems of differential equations describing the movement of the units and mechanisms, electromechanical transient processes, dynamics of transport, and formation and winding of fibre material. One approach to Moscow State Textile University.
A nonlinear system of algebraic and differential equations was obtained that can be used to study a complex electromechanical system with consideration of the statistical characteristics of the working parts, the electromagnetic processes in the electric drive, and the effect of fl exible couplings in kinematic transmission. Calculation of the system of equations obtained showed that in transition regimes, important errors in the linear velocities of the working parts appear due to electromagnetic processes and the existence of fl exible deformable units which disturb the manufacturing process. A method of limiting the increase in the voltage feeding the asynchronous electric drive with a multifunctional microprocessor regulator is proposed for correcting the speed regimes.We analyzed the dynamics of simultaneous rotation of working parts in which one motor is asynchronous (AM, M 1 ) with a squirrel-cage motor controlled by a multifunctional microprocessor voltage regulator (MVR000), and the other is direct current (DCM, M 2 ) with thyristor control from a unit power amplifi er (PA). The domestically manufactured directcurrent unit thyristor electric drives have highly stable rotational speeds, good dynamic properties, and broad possibilities for satisfying the highest manufacturing requirements.Rotational speed sensors (SS 1 , SS 2 ) and a cloth tension sensor (TS) in the free zone synchronize the rotational speed of the working parts.In the mathematical description of the dynamic properties of the units in an electromechanical system, assumptions are made concerning the presence of rigid connections between the calender and the main shaft (MS); the direct-current motor (M 2 ) and reducing gear (R 2 ) and the shaft of the winding device (WD); the asynchronous motor (M 1 ) and the lower fl exible coupling (FC) block; the upper FC block and the calender drive shaft.We obtain the equation of motion for electric drives mechanically coupled with fl exible coupling and a reducing gear from Lagrange equations of the second kind:(1)where T is the kinetic energy of the moving masses; Q j are generalized forces; q j are generalized coordinates; q j are the time derivatives of the generalized coordinates; j is the number of degrees of freedom (1, 2, ..., S). ____________ MSTU: 119071, Moscow, ul. Malaya Kaluzhskaya, d. 1. Moscow State Textile University.
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