Understanding Motor Controls
4th Edition
ISBN: 9781337798686
Author: Stephen L. Herman
Publisher: Delmar Cengage Learning
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Chapter 31, Problem 6RQ
Explain why controlling the rotor current also controls the stator current.
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An elastic bar of length L = 1m and cross section A = 1cm2 spins with
angular velocity ω about an axis, as shown in the figure below. The
radial acceleration at a generic point x along the bar is a(x) = ω2x,
where ω= 100rad/s is the angular velocity. The bar is pinned on the
rotation axis at x = 0. A mass M = 1kg is attached to the right end of
the bar. Due to the radial acceleration, the bar stretches along x with
displacement function u(x). The displacement u(x) solves the BVP
(strong form) sketched below:
d
dx (σ(x)) + ρa(x) = 0 PDE
σ(x) = E du
dx Hooke’s law
(1)
u(0) =?? essential BC
σ(L) =?? natural BC
where σ(x) is the axial stress in the rod, ρ= 2700kg /m3 is the mass
density, and E = 70GPa is the Young’s modulus
1. Define appropriate BCs for the strong BVP
2. Find the solution of the strong BVP analytically
3. Derive the weak form of the BVP.
Gruebler's formula for the following mechanism?
w/I
- |
العنوان
I need a detailed drawing with explanation
SOLL
эт
4
حكا
The guide vane angle of a reaction turbine (Francis type
make 20° with the tangent. The moving blade angle at entry is
120°. The external diameter of runner is 450 mm and the internal
diameter is 300 mm. Runner width at entry is 62.5mm and at exit
100mm. Calculate the blade angle at exit for radial discharge.
96252
-20125
750 ×2.01
Chapter 31 Solutions
Understanding Motor Controls
Ch. 31 - Prob. 1RQCh. 31 - Prob. 2RQCh. 31 - A wound rotor induction motor has a stator that...Ch. 31 - Name three factors that determine the amount of...Ch. 31 - Prob. 5RQCh. 31 - Explain why controlling the rotor current also...Ch. 31 - What is the function of a micro limit switch when...Ch. 31 - Prob. 8RQCh. 31 - What is rotor slip?
Ch. 31 - Prob. 10RQ
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