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Posted Date: 31 Aug 2008 Posted By: ram Member Level: Diamond
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2007 Jawaharlal Nehru Technological University Automobile Engineering IV B.Tech I Semester Regular Examinations, November 2007 VEHICLE DYNAMICS Question paper
Code No: RR412401 Set No. 3
IV B.Tech I Semester Regular Examinations, November 2007
VEHICLE DYNAMICS
(Automobile Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Sphere of dia D floats half submerged in water. If the sphere is depressed slightly
and released, determine the period of the vibration. What is this period when D
= 1 meter. [16]
2. What is damping, explain the importance of the critical damping and find the
expression for the logarithmic decrement. [16]
3. Derive an expression steady state and transient displacement for forced harmonic
motion. [16]
4. A vibration measuring device is used to find the displacement, velocity and accel-
eration of a machine running at 120rpm. If the natural frequency of the instrument
is 5 Hz. and it shows 0.004 cm what are the three readings? Neglect damping. [16]
5. Derive the Hamilton principle for deriving the equation of motion for a continuous
system.
6. (a) Derive the differential equation of motion for the flexural vibration of a beam
of uniform cross section
(b) Hence show that the frequency equation of such a cantilever beam of length L
is given by cos ki L . cosh kiL = -1 where ki = (?/a)1/2 and a= (EI/?A)1/2
[16]
7. An Engine weighing 182 kgf is to be supported on four helical springs. When the
engine speed is 900 r.p.m there is a primary vertical distrubing force of maximum
value 31.8 kgf due to the unbalanced reciprocating weights. Assuming that the
engine vibrates in the vertical direction mH neither horizontal nor angular move-
ment, find the stiffness of each spring in kgf/cm of deflection to limit the maximum
total periodic force on the foundations to 2.27 kgf. What will be the amplitude of
vibration of the engine when speed is 600 rpm? [16]
8. Write short notes on
(a) Reyleigh’s method
(b) Dunkerley’s method
(c) Holzer’s method
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