Abstract
This paper presents the principles of the designing metal working machine tools mechatronic systems of surface generation which are optimal from the point of view of reproducing given part profiles. It is shown that the degree of their optimality is determined by the proximity of their characteristics to the frequency characteristics of an ideal low-pass filter. Mathematical methods for building compact mathematical models of the drive hardware, adequately describing the inertial and elastic characteristics of the elements of its structure, is described. These models are convenient for simulating control loops of the machine tools feed drives. A method for the parametric synthesis of a two-mass mathematical model of a subordinate control system for a feed drive with an elastic-dissipative coupling between equivalent lumped masses which simulate a moving unit and rotating elements of the drive mechanism is proposed. The synthesis problem is reduced to solving a system of nonlinear equations. Examples to demonstrate the proposed methods and models capabilities are given.
Highlights
Increasing productivity and ensuring high precision machining of parts are priority areas for improving metalworking machines
We can vary system of surface generation, transfer functions of drives and the control signal. All of these are by some means or other depend on the characteristics of the machine tool drives
It is enough to ensure the unit values of the transfer function modules, the equality of the time delays of the drives which are the components of the machine system of surface generation, and the equality of the time delays of the components of the output signal spectrum in the range of frequencies of the control signal in order to reproduce it without distortion
Summary
Increasing productivity and ensuring high precision machining of parts are priority areas for improving metalworking machines. In the CNC machine tools mechatronic systems of surface generation, the feed drives are the crucial elements which ensure coordination of their motions They receive their job via information network of the controller. We can vary system of surface generation, transfer functions of drives and the control signal All of these are by some means or other depend on the characteristics of the machine tool drives. It is enough to ensure the unit values of the transfer function modules, the equality of the time delays of the drives which are the components of the machine system of surface generation, and the equality of the time delays of the components of the output signal spectrum in the range of frequencies of the control signal in order to reproduce it without distortion. A further gain increase leads to a loss of circuit stability
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