ME 2307 – DYNAMICS LABORATORY
Class : V Semester Mechanical Sections : A & B
LIST OF EXPERIMENTS
1. Free Transverse Vibration – I – Determination of Natural Frequency 2. Cam Analysis – Cam Profile and Jump-speed Characteristics 3. Free Transverse Vibration – II – Determination of Natural Frequency 4. Free Vibration of Spring Mass System – Determination of Natural Frequency 5. Compound Pendulum – Determination of Radius of Gyration and Moment of Inertia 6. Bifilar Suspension – Determination of Radius of Gyration and Moment of Inertia 7. Trifilar Suspension – Determination of Radius of Gyration and Moment of Inertia 8. Whirling of Shaft – Determination of Critical Speed
9. Balancing of Rotating Masses
10. Determination of Gyroscopic Couple
11. Turn Table
12. Hartnell Governor
13. Free Vibration of Spring Mass System – Determination of Natural Frequency
Beyond the Syllabus
14. Speed Ratio of Epi-cyclic Gear Train
15. Speed Ratio of Worm and Worm Wheel
EX NO:1: TRANSVERSE VIBRATION - I
Aim: To find the natural frequency of transverse vibration of the cantilever beam.
Apparatus required: Displacement measuring system (strain gauge) and Weights
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the
other end is hanging free for keeping the weights to find the natural frequency while applying
the load on the beam. This displacement causes strain gauge bridge to give the output in milli-
volts. Reading of the digital indicator will be in mm.
1. Natural frequency = 1/2；？(g/;) Hz 2 where g= acceleration due to gravity in m/sand ; = deflection in m.
32. Theoretical deflection ;= Wl/3EI
Where, W= applied load in Newton, L= length of the beam in mm 24 3 E= young‟s modules of material in N/mm, I= moment of inertia in mm=bh/1233. Experimental stiffness = W/; N-mm and Theoretical stiffness = W/; =3EI/l N/mm
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50hz supply
3. Switch on the instrument
4. Keep the switch in the read position and turn the potentiometer till displays reads “0”
5. Keep the switch at cal position and turn the potentiometer till display reads 5
6. Keep the switch again in read position and ensure at the display shows “0”
7. Apply the load gradually in grams
8. Read the deflection in mm
Draw the characteristics curves of load vs displacement, natural frequency
Draw the characteristics curves of displacement vs natural frequency Result:
Observation: Cantilever beam dimensions: Length=30cm, Breadth=6.5cm and Height=0.4cm
Sl. Applied Deflection Theoretical Experimental Theoretical Natural
No. mass deflection Stiffness Stiffness frequency ; (mm)
m (kg) k (N/mm) k (N/mm) fn (Hz) ; (mm) T
EX NO:2 CAM ANALYSIS
To study the profile of given can using cam analysis system and to draw the displacement diagram for the follower and the cam profile. Also to study the jump-speed characteristics of the cam & follower mechanism.
Apparatus required: Cam analysis system and Dial gauge
A cam is a machine element such as a cylinder or any other solid with a surface of contact so designed as to give a predetermined motion to another element called the follower.A cam is a rotating body importing oscillating motor to the follower. All cam mechanisms are composed of at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Diameter of base circle =150mm, Lift = 18mm, Diameter of cam shaft = 25mm
Diameter of follower shaft = 20 mm, Diameter of roller = 32mm, Dwell period = 180
Type of follower motion = SHM (during ascent & descent)
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above the
3. Calculate the lift by subtracting each reading with the initial reading. Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps off
2. This jump-speed is observed for different loads on the follower.
Displacement diagram and also the cam profile is drawn using a polar graph chart.
The Force Vs Jump-speed curve is drawn.
Sl. Angle of Lift in mm Lift + base circle radius (mm)
Sl. Load on the Jump-speed
No. Follower, F (N) N (RPM)
EX NO:3 TRANSVERSE VIBRATIONS - II
Aim: To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load or uniformly distributed load.
Apparatus Required: Trunnion bearings, beams, weights.
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Formulae used: 3Defection at the center, ;= Wl/48EI for central concentrated load. T22Defection at the load point, ;= Wab/3EIl for offset concentrated load. T4Defection at the center, ;= 5wl/384EI for uniformly distributed load. T
3I = bd/12; b = width of the beam, d = depth of the beam, l = length of the beam. Natural frequency of transverse vibrations, f= 1/2；？(g/;) Hz n2 where g= acceleration due to gravity in m/sand ; = deflection in m.
Observations: b = , d = , l = , E =
Sl. Mass added Experimental Theoretical Theoretical Experimental Theoretical
No. m , kg Deflection Deflection Nat. freq. Stiffness Stiffness
, Hz K, N/m K, N/m f;, m ;, m nT
1. Deflection Vs. load (N) from this get stiffness (graph) 2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflec