a) A turbine connected to an electric generator through a gearbox can be modelled as illustrated in Figure 1=951 kgm² J2 = 950 kgm² give the equivalent inertias of the rotary system. The shafts provide a stiffness of k1= 9.9x10+ Nm/Rad k2= 4.9x106Nm/Rad spectively. The letters in the parameters represent digits of student numbers: A is the third digit, B is the fifth digit, D is the sixth digit, and F is the seventh digit. i) Draw free-body diagrams ii) Write the equations and put them in matrix form iii) Calculate the dynamic stiffness values iv) Find the natural frequencies and draw mode shapes of the system v) Discuss the effect of coupling stiffness k₁₂ on the natural frequencies 01 K12 2

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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a) A turbine connected to an electric generator through a gearbox can be
modelled as illustrated in Figure 1 = 951 kgm² J2 = 950 kgm²
equivalent inertias of the rotary system. The shafts provide a stiffness of
k1 = 9.9x10¹Nm/Rad k2 = 4.9x106Nm/Rad spectively. The letters in the
parameters represent digits of student numbers: A is the third digit, B is the
fifth digit, D is the sixth digit, and F is the seventh digit.
i) Draw free-body diagrams
ii) Write the equations and put them in matrix form
iii) Calculate the dynamic stiffness values
iv) Find the natural frequencies and draw mode shapes of the system
v) Discuss the effect of coupling stiffness k₁₂ on the natural frequencies
k₁₁
01
k12
O
Figure Q2.
Transcribed Image Text:give the a) A turbine connected to an electric generator through a gearbox can be modelled as illustrated in Figure 1 = 951 kgm² J2 = 950 kgm² equivalent inertias of the rotary system. The shafts provide a stiffness of k1 = 9.9x10¹Nm/Rad k2 = 4.9x106Nm/Rad spectively. The letters in the parameters represent digits of student numbers: A is the third digit, B is the fifth digit, D is the sixth digit, and F is the seventh digit. i) Draw free-body diagrams ii) Write the equations and put them in matrix form iii) Calculate the dynamic stiffness values iv) Find the natural frequencies and draw mode shapes of the system v) Discuss the effect of coupling stiffness k₁₂ on the natural frequencies k₁₁ 01 k12 O Figure Q2.
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