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Figure Q2 shows the arrangement of the compressor, turbine and generator in a thermal power plant. Assume that the mass moment of inertia J1=J2=J3 =(T+3)J, and torsional stiffness of shaft k1 = k2 = kg =(U+10)k,. Note: The values of T and U depend on the respective 5th, and 6th digit of your matric number as the following number format AD PQRSTU. For example, if your matric number is AD 170154 gives the value T = 5 and U = 4. (а) Sketch the free-body diagram of the shaft system based on Figure Q2 by including the direction of forces involved in the system. (b) Determine the equation of motion of the system using the Newton's second law in the form of [J]ë + [k¿]® = [M]. (c) Compare the fundamental natural frequency values for the shaft system calculated by using Dunkerley's and Rayleigh's methods. Please use the following mode of the system for Rayleigh's method. X = }02 (03. = {2 (d) Justify which method between Dunkerley’s and Rayleigh's gives more accurate natural frequency result and state the reason?

Figure Q2 shows the arrangement of the compressor, turbine and generator in a thermal power plant. Assume that the mass moment of inertia J1=J2=J3 =(T+3)J, and torsional stiffness of shaft k1 = k2 = kg =(U+10)k,. Note: The values of T and U depend on the respective 5th, and 6th digit of your matric number as the following number format AD PQRSTU. For example, if your matric number is AD 170154 gives the value T = 5 and U = 4. (а) Sketch the free-body diagram of the shaft system based on Figure Q2 by including the direction of forces involved in the system. (b) Determine the equation of motion of the system using the Newton's second law in the form of [J]ë + [k¿]® = [M]. (c) Compare the fundamental natural frequency values for the shaft system calculated by using Dunkerley's and Rayleigh's methods. Please use the following mode of the system for Rayleigh's method. X = }02 (03. = {2 (d) Justify which method between Dunkerley’s and Rayleigh's gives more accurate natural frequency result and state the reason?

Elements Of Electromagnetics
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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T=0

U=0

M1, 01 Mr2, 02 Маз, Өз Turbine Generator Compressor J1 J3 kr1 kr2 kr3 Figure Q2
Transcribed Image Text:M1, 01 Mr2, 02 Маз, Өз Turbine Generator Compressor J1 J3 kr1 kr2 kr3 Figure Q2
Q2 Figure Q2 shows the arrangement of the compressor, turbine and generator in a thermal power plant. Assume that the mass moment of inertia J1 = J2 = J3 =(T+3)J, and torsional stiffness of shaft k1 = k2 = kB = (U+ 10)k,. Note: The values of T and U depend on the respective 5th, and 6th digit of your matric number as the following number format AD PQRSTU. For example, if your matric number is AD 170154 gives the value T = 5 and U = 4. (a) Sketch the free-body diagram of the shaft system based on Figure Q2 by including the direction of forces involved in the system. (b) Determine the equation of motion of the system using the Newton's second law in the form of [U]ë + [k¿]® = [M]. (c) Compare the fundamental natural frequency values for the shaft system calculated by using Dunkerley's and Rayleigh's methods. Please use the following mode of the system for Rayleigh's method. (01' X = }02} = = {2 (d) Justify which method between Dunkerley's and Rayleigh's gives more accurate natural frequency result and state the reason?
Transcribed Image Text:Q2 Figure Q2 shows the arrangement of the compressor, turbine and generator in a thermal power plant. Assume that the mass moment of inertia J1 = J2 = J3 =(T+3)J, and torsional stiffness of shaft k1 = k2 = kB = (U+ 10)k,. Note: The values of T and U depend on the respective 5th, and 6th digit of your matric number as the following number format AD PQRSTU. For example, if your matric number is AD 170154 gives the value T = 5 and U = 4. (a) Sketch the free-body diagram of the shaft system based on Figure Q2 by including the direction of forces involved in the system. (b) Determine the equation of motion of the system using the Newton's second law in the form of [U]ë + [k¿]® = [M]. (c) Compare the fundamental natural frequency values for the shaft system calculated by using Dunkerley's and Rayleigh's methods. Please use the following mode of the system for Rayleigh's method. (01' X = }02} = = {2 (d) Justify which method between Dunkerley's and Rayleigh's gives more accurate natural frequency result and state the reason?
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