Rotor HubLow-speed shaftGearbox J1ktl- High-speed shaftk,2Nacelle02Tower-GeneratorJ2Figure Q2BladeBlade 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 frequencyfor the system is wn = 0.6vkt/J rad/s. Assume that J1 =J2 = J, and k1 = k2 = kt.(a)Establish the free body diagram and equation of motion in the matrix form forgear box, generator, low-speed shaft and high-speed shaft.(b) By using standard matrix iteration approximation method, determine the lowestnatural frequency in Hertz unit and its corresponding mode shape for Q2(a)-0.1answer if the initial trial vector is (2 ). Use J=2, and k = 6, and show upto four (4) iterations calculation.(c) By using Rayleigh's method, predict the fundamental natural frequency in Hertzunit for Q2(a) answer. Use the same initial trial vector in Q2(b).(d) Please justify which approximate method from Q2(b) and Q2(c) is moreасcurate.

equation of Motion of Generators 4 ENERATOR J_{2} J ² θ 2 ^ +k t 2 (θ_{2} - θ_{1}) = 0 using…

Answered: peed shaft

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peed shaft

Automotive Technology: A Systems Approach (MindTap Course List)

6th Edition

ISBN:9781133612315

Author:Jack Erjavec, Rob Thompson

Publisher:Jack Erjavec, Rob Thompson

Chapter40: Drive Axles And Differentials

Section: Chapter Questions

Problem 12RQ: The drive shaft component that provides a means of connecting two or more shafts together is...

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Concept explainers

Metrology of surface finish

In general terms, the application of scientific principles in the study of measurements is known as metrology. When speaking about measurement, it could be of time, length, microstructures, grain structures, internal crystal discontinuities, surface roughness, measurements of angles, height, width, and so on. While coming to the domain of mechanical engineering, metrology is considered the science of measurements of surface finish, length, surface texture, and angles.

Question

Rotor Hub
Low-speed shaft
Gearbox J1
ktl
- High-speed shaft
k,2
Nacelle
02
Tower
-Generator
J2
Figure Q2
Blade
Blade

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 = 0.6vkt/J rad/s. Assume that J1 =J2 = J, and k1 = k2 = kt.
(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 (2 ). Use J=2, and k = 6, and show up
to four (4) iterations calculation.
(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).
(d) Please justify which approximate method from Q2(b) and Q2(c) is more
асcurate.

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