Department of Civil Engineering

VIRTUAL SMART STRUCTURES AND DYNAMICS

LABORATORY

A COMPONENT OF VIRTUAL LABS http://www.vlab.co.in

EXPERIMENT 2

Modes of Vibration of Simply Suppoted Plate

RESOURCES FOR USER

1 Manual for experiment

2 Pre-experiment quiz

3 Post-experiment quiz

See related video

Enter the length of plate ,L (in meters) .

Enter thickness of plate (in meters) ...........

Enter poison's ratio ..................................

Enter the density of plate (in kg/m³) ......

Enter the Young's modulus of Elasticity plate,E (in N/m²)

Select the value of m & n:

m=1 & n=1

m=1 & n=2

m=2 & n=1

m=2 & n=2

Frequency,f_n (in Hz)

Mode Shapes of the Plate

EXERCISE FOR USERS :

1) Compute frequency for five different lengths of the plate keeping all other parameters constant. Fill in the values below and plot a graph between frequency and length.

- What do you observe ?

- Why do you observe so ?

[Hint : Go through theory manual provided at top of the page]

L1: L2: L3: L4:

L5:

f1: f2: f3: f4:

f5:

( You can see the graph below)

[ PRESS RESET TO CLEAR OLD VALUES OF Exercise 1 ]

2) Compute frequency for five different Young's Modulus of Elasticity of the beam keeping all other parameters constant. Fill in the values below and plot a graph between frequency and Young's Modulus .