Answered: transfer function

Engineering

Electrical Engineering

transfer function

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter9: Components For Electric Motors

Section: Chapter Questions

Problem 14RQ

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Question

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Fig. Q1(b) shows a rotational mechanical system with two masses with moment of inertia, J1 and J2. The T(t) is the applied torque to J1, while the θ1(t) and θ2(t) are the angular displacement of J1 and J2, respectively.

Draw the free-body diagrams of mass with moment of inertia J1 and mass with moment of inertia J2, and then develop differential equations (with constant J1, J2, D1, D2, and K in the equations) that represent the mechanical system. Then using the given value of the constants in Figure Q1(b), derive the transfer function G(s) = θ2(s)/T(s) and the block diagram of the system.

D1
1 N-m-/rad
D2
1 N-m-/rad
T() 0,()
|02()
J2
1 kg-m?
1 kg-m?
1 N-m/rad
Fig. Q1(b)

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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