No. of Pages: 2

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSIPr'
FIRST SEMESTER M.TECH DEGREE EXAMINATION. DECEMBER 201 8

Mechanical Engineering

(Machine Design)

01ME6101 Advanced Theory of Vibration
Max. Marks : 60

Answer any two full questions from each part
Limit answers to the required points.
PART-A

1.3) Determine the differential equation of motion and natural frequency or
oscillation of a homogenious disc of mass M which rolls without slipping on a
horizontal surface against two springs of stiffness K, and 2K respectively.

Fig-l (4 marks)

b) Obtain the expression for the magnification factor (MF) of viscously damped
spring mass system subjected to a harmonic excitation of amplitude Fo. Plot the variation
of MF Vs. frequency ratio at various damping factors (5 marks)

2. a) Define Principal Co-ordinates? Two masses connected as shown in Fig 2. Obtain the
normal modes an? natural frequency (4 Marks).

தரன்‌ 1 2K K

Fig-2
2. b) Define Modal Matrix ? Obtain the ortho normal modes of the system shown in

Fig.2 and digonalise the stiffness matrix, (S Marks)