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

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...

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