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 = 0.6\/kt/J rad/s. Assume that J1 =J2 = J, and ku = k2 = kç. By using Rayleigh's method, predict the fundamental natural frequency in Hertz natural frequency in Hertz unit and its corresponding mode shape for Q2(a) answer if the initial trial -vector is ( ). Use J= 2, and k, = X, and show up 2.9 X=6 Rotor Hub- - Low-speed shaft – Gearbox J, kl - High-speed shaft k2 Nacelle- | 02 Tower LGenerator 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 = 0.6\/kt/J rad/s. Assume that J1 =J2 = J, and ku = k2 = kç. By using Rayleigh's method, predict the fundamental natural frequency in Hertz natural frequency in Hertz unit and its corresponding mode shape for Q2(a) answer if the initial trial -vector is ( ). Use J= 2, and k, = X, and show up 2.9 X=6 Rotor Hub- - Low-speed shaft – Gearbox J, kl - High-speed shaft k2 Nacelle- | 02 Tower LGenerator Figure Q2 Blade Blade

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A simple pendulum whose string measures 1 = 2 m and whose mass is 5 kg is at rest in its position of equilibrium and is subjected to a harmonic forcing of intensity F₁ = 2 N and frequency w rad/s. find: a) The frequency @ for which the system is in resonance. b) Make a graph of angular position v/s time where the amplitude and period of the system if the frequency w is equal to twice the resonant frequency.
Q5:- in the fig M= 20 kg, c-7 N.s/m, k=10 N/M, the excitation is 10 sin5t, find natural frequency, excition frequency Excitation force, is the device in the resonse Frequency, Is the device under damping? Find the equation of motion A typical accelerometer Schematic of an accelerometer
Q5:- in the fig M= 20 kg, c=7 N.s/m, k=10 N/M, the excitation is 10 sin5t, find natural frequency, excition frequency Excitation force, is the device in the resonse Frequency, Is the device under damping? Find the equation of motion
An anharmonic oscillator has the differential equation: dr where k > 0. The initial conditions are x,=0 and v,> 0. Define dimensionless variables i and i such that the equation has the form: EP -2" with l-o =1 d Find the dimensionless conserved energy.
K Kt m₂ mi For this fig. > with damping Find the following: ~Equations of motion C ~Mass matrix ~Stiffness matrix ~Damping matrix ~Natural freqyancy ~All damping properties.. 72 ZI
The isotropic reducing of the dimensions influences of the frequency as : Decreasing of natural frequency Increasing of natural frequency No change of natural frequency Resonance exiting Antiresonance exiting
Q6. For a point at distance 50 m and angle 450 to the axis which of the following are correct? Consider an infinite baffled piston of radius 5 cm driven at 2 kHz in air with velocity 10 m/s. You may choose multiple options. A. k = 18.32 and J1(ka sin(q))/ka sin(q) = 0.17 B. k = 36.64 and J1(ka sin(q))/ka sin(q) = 0.40 C.k=5.83 and J1(ka sin(q))/ka sin(q) = 3.16 D. None of the above Submit E
Given the vibrating system below: K1 K3 K4 Find the following 1. Keq 2. Ceq 3. Natural angular velocity K2 m C1 C3 C5 C2 C4 4. Damped angular velocity 5. Type of Damping 6. Equation of motion x(t). Assume Initial conditions for displacement and velocity Graph 2 cycles of the vibrating system. You can use third party app for this. 7. M = 10 kg K1=100 N/m K2= 80 N/m K3=75 N/m K4= 120 N/m C1 = 20Ns/m C2= 40 Ns/m C3= 35Ns/m C4= 15 Ns/m C5= 10 Ns/m
Q5. For a point at distance 50 m and angle 450 to the axis which of the following statements are correct? Consider an infinite baffled piston of radius 5 cm driven at 2 kHz in air with velocity 10 m/s. You may choose multiple options. a. The constant term is given by 515.03 b. The distance dependent term is given by e-jk50/50 c. The directivity term is given by j1(Ka sin 450)/sin 450 d. There is no time dependent term.
1 Problem 5 4 State, x(t) SAWNO-Nw. ● ● Case 1 O 2 6 Time, sec. underdamped critically damped State, x(t) • overdamped 54321 ONS TY Case 2 2 ▷ Time, sec. 8 10 State, x(t) 5 2 + 3 4 Case 3 2 ▷ 6 Time, sec. 5432 State, x(t) & A & No. 2 Match each of the resposes above to one of the following second-order system types: • undamped Case 4 ▷ Time, sec.
Given the vibrating system below: K4 Y(t) =Ysin30t where for = 30 and Y=20mm Find the following K1 K2 m C3 H C2 C1 C5 C4 1. Frequency Ratio 2. Displacement Transmissibility Ratio 3. Absolute displacement of the mass 4. Type of Damping 5. Equation of motion x(t). Assume Initial conditions for displacement and velocity 6. Graph 2 cycles of the vibrating system. You can use third party app for this. M = 10 kg K1=100 N/m K2= 80 N/m K3=75 N/m K4= 120 N/m C1 = 20Ns/m C2=40 Ns/m C3= 35Ns/m C4= 15 Ns/m C5= 10 Ns/m
The equation of motion of a simplified model mechanical system is given below. of a m, o X₁ ki+k₂ k₂ O +1 NA 1/2 FU 10 ma -k₂ k₂ | k₂ = 10,000 N m₁ = 40 kg / m₂ = 130 kg, k₁ = 20,000~ m 0 a) Natural Freequency b) Find the mass normalized mode shapes of the system. c) Drave the mass normalized mode shapes.