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

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Engineering Drawing

Technical drawing has been around since ancient times. As in the ancient Renaissance, complicated drawings were created, including Leonardo da Vinci's drawing. Modern engineering drawing, including its specific orthographic projection with scale conventions, began in Europe (France) during the early stages of Industrialization. L.T. C. Rolt also made some of Marc's drawings for its block-making machinery (in 1799) that also may have contributed significantly to British engineering technology. Since he learned the art of presenting three-dimensional(3D) items in a two-dimensional(2D) plane, as we now term mechanical drawing. 

Question

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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