(a) Establish the free body diagram and equation of motion in the matrix form for gear box, generator, low-speed shaft and high-speed shaft. p) By using standard matrix iteration approximation method, determine the lowest natural frequency in Hertz unit and its corresponding mode shape for Q2(a) -0.1 answer if the initial trial vector is (g). Use J= 2, and k = 8, and show up to four (4) iterations calculation. Here, the value of X indicating of the number of your group. O By using Rayleigh's method, predict the fundamental natural frequency in Hertz unit for Q2(a) answer. Use the same initial trial vector in Q2(b).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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subject: vibration

Q2 Figure Q2 shows the schematic diagram of wind turbine which used in power plant.
By using the exact solution method, it is found that the fundamental natural frequency
for the system is wn = 0.6vk:/] rad/s. Assume that J; =J2 = J, and k; = k2 = k..
(a) Establish the free body diagram and equation of motion in the matrix form for
gear box, generator, low-speed shaft and high-speed shaft.
(b) By using standard matrix iteration approximation method, determine the lowest
natural frequency in Hertz unit and its corresponding mode shape for Q2(a)
-0.1
answer if the initial trial vector is 29 ). Use J= 2, and k; = 8, and show up
to four (4) iterations calculation. Here, the value of X indicating of the number
of your group.
(c) By using Rayleigh's method, predict the fundamental natural frequency in Hertz
unit for Q2(a) answer. Use the same initial trial vector in Q2(b).
Rotor Hub
- Low-speed shaft
- Gearbox JI
High-speed shaft
k2
Nacelle-
02
Tower
-Generator
J2
Figure Q2
Blade
Blade
Transcribed Image Text:Q2 Figure Q2 shows the schematic diagram of wind turbine which used in power plant. By using the exact solution method, it is found that the fundamental natural frequency for the system is wn = 0.6vk:/] rad/s. Assume that J; =J2 = J, and k; = k2 = k.. (a) Establish the free body diagram and equation of motion in the matrix form for gear box, generator, low-speed shaft and high-speed shaft. (b) By using standard matrix iteration approximation method, determine the lowest natural frequency in Hertz unit and its corresponding mode shape for Q2(a) -0.1 answer if the initial trial vector is 29 ). Use J= 2, and k; = 8, and show up to four (4) iterations calculation. Here, the value of X indicating of the number of your group. (c) By using Rayleigh's method, predict the fundamental natural frequency in Hertz unit for Q2(a) answer. Use the same initial trial vector in Q2(b). Rotor Hub - Low-speed shaft - Gearbox JI High-speed shaft k2 Nacelle- 02 Tower -Generator J2 Figure Q2 Blade Blade
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