
Figure P4. I 7 shows the free-body diagrams for planetary gear components used in the variable valve timing (WT) system of an internal combustion engine (Ren, 2011). Here an electric motor is used to drive the carrier. Analysis showed that the electric motor with planetary gear load (Figure P4.l7) may be represented by the following equation:
where
and the load torque input transfer function,
Find an analytical expression for the output carrier angular speed,
FIGURE P4.17 Free-body diagrams of planetary gear system components12

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Control Systems Engineering
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