Industrial servo control systems : fundamentals and by George W. Younkin

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By George W. Younkin

Written by way of a pro specialist, this authoritative and informative advisor provides the applied sciences within the calculation of brushless DC motor time constants, fabric on force sizing, and case reports illustrating key themes. the writer information necessities with regards to the operation of desktop provider drives and descriptions troubleshooting equipment for difficulties referring to computing device nonlinearities, inertia, force stiffness, and friction. He highlights lately constructed simulation tools used to foretell, determine, and enhance the functionality of carrier structures and their parts and covers the functionality and meeting of force structures, force resolutions, force ratios, and accountability cycles

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3-39) oh ¼ ð2bD2m =Jm Vc Þ is defined as the hydraulic resonance. Copyright 2003 by Marcel Dekker, Inc. All Rights Reserved   Jm Vc 2 s þ KL Jm s þ D2m ym 2b     Vc GT Vc GT s yo ¼ QDm À KL þ s y þ K þ m L 2b N 2 2b N   ! Jm Vc Vc GT þ KL Jm s2 þ D2m s þ KL þ s s3 ym 2b 2b N 2   Vc GT yo ¼ QDm þ KL þ s 2b N   ! 3-43) Drive system Eq. 3-43) can now be included in a positioning servo drive with an inner tachometer loop as shown in the block diagram of Figure 26. To simplify the solution of the drive system equations, substitutions for some of the blocks are introduced in Figure 26.

3-23) yields the total motor flow equation: Q1 þ Q2 þ ð2KLcp þ KLex ÞðP2 À P1 Þ Vc fv ym sðP1 þ P2 Þ ¼ 2Dm sym þ sðP1 À P2 Þ þ b b Copyright 2003 by Marcel Dekker, Inc. 3-27) since the time rate of change of P1 is equal and opposite to that of P2 . Combining Eq. 3-32) Rearranging terms yields PL ¼ J m s2 Tm ym þ Dm Dm Copyright 2003 by Marcel Dekker, Inc. 3-34) Combining the motor flow Eq. 3-31) with Eq. 3-38) Combining with Eq. 3-39) It is desired to combine the mechanical torque equations and the hydraulic flow equations to arrive at one system equation.

These values are based on constant end bearing and ball nut stiffnesses. In actual practice, these would be varied according to the screw diameter. In Figures 2 to 5, the ball screw resonances are plotted for various screw diameters, lengths, and applied load weights. Resonances occurring outside the velocity loop and inside the position loop will contribute phase shift to the open-position loop frequency- Copyright 2003 by Marcel Dekker, Inc. All Rights Reserved Fig. 3 Ball screw resonance. Fig.

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