(a) A turbine is connected to an electric generator through gears as shown in Figure Q2a. The mass moments of inertia of the turbine, generator, gear 1 and gear 2 are given respectively as 8000, 1000, 300 and 200 kgm². The shafts are made of steel. The shaft between the generator and gear 1 is of length 1m and diameter 30cm, whereas that connecting the turbine and gear 2 is of length 0.5m and diameter 20cm. The number of teeth on gear 1 is 30 and that on gear 2 is 15. Find the natural frequencies of the system. Gear 1 Generator Turbine Gear 2 Figure Q2a. (b) Discuss the role of the vibration absorber and explain how it manages to extract energy from the primary system to control vibration. (c) Define and discuss force and displacement transmissibilities. Use variations of these with respect to frequency for illustration.
(a) A turbine is connected to an electric generator through gears as shown in Figure Q2a. The mass moments of inertia of the turbine, generator, gear 1 and gear 2 are given respectively as 8000, 1000, 300 and 200 kgm². The shafts are made of steel. The shaft between the generator and gear 1 is of length 1m and diameter 30cm, whereas that connecting the turbine and gear 2 is of length 0.5m and diameter 20cm. The number of teeth on gear 1 is 30 and that on gear 2 is 15. Find the natural frequencies of the system. Gear 1 Generator Turbine Gear 2 Figure Q2a. (b) Discuss the role of the vibration absorber and explain how it manages to extract energy from the primary system to control vibration. (c) Define and discuss force and displacement transmissibilities. Use variations of these with respect to frequency for illustration.
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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Transcribed Image Text:Question 2.
(a) A turbine is connected to an electric generator through gears as shown in
Figure Q2a. The mass moments of inertia of the turbine, generator, gear 1 and
gear 2 are given respectively as 8000, 1000, 300 and 200 kgm². The shafts
are made of steel. The shaft between the generator and gear 1 is of length 1m
and diameter 30cm, whereas that connecting the turbine and gear 2 is of
length 0.5m and diameter 20cm. The number of teeth on gear 1 is 30 and that
on gear 2 is 15. Find the natural frequencies of the system.
Gear 1
Generator
Turbine
Gear 2
Figure Q2a.
(b) Discuss the role of the vibration absorber and explain how it manages to
extract energy from the primary system to control vibration.
(c) Define and discuss force and displacement transmissibilities. Use variations of
these with respect to frequency for illustration.
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