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Merge pull request #11 from virtual-labs/testing
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Responsive Simulator Added
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SOLVE-NITK authored Apr 29, 2024
2 parents 9546366 + 96e007a commit cd14f8c
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50 changes: 14 additions & 36 deletions experiment/procedure.md
Original file line number Diff line number Diff line change
@@ -1,43 +1,21 @@
**AIM**:
To find the damping (c) of the given beam.
### Procedure

**PROCEDURE**:
Begin the experiment by clicking the start experiment button.
[<img src="./images/proc1.png" width="800" height="600" />](./images/proc1.png)
<div style="text-align:left">
Click on the Simulation icon <img src="images/simulation.png" alt="Alt text" style="height:80px; width:80px;"> to view the simulation screen.

1. Find logarithmic decrement (δ) from displacement v/s time graph. The logarithmic decrement is defined as follows.
[<img src="./images/proc2.png" width="150" height="75" />](./images/proc2.png)
![Alt text](images/img1.png)

In order to view the variable section click on the Variable icon. <img src="images/var1.png" alt="Alt text" style="height:80px; width:80px;">

Here x<sub>1</sub> and x<sub>n</sub> refer to the displacements at the first and nth peak in the displacement v/s time graph.
The displacements at the peaks can be found using the location slider.
[<img src="./images/proc3.png" width="800" height="600" />](./images/proc3.png)
[<img src="./images/proc4.png" width="800" height="600" />](./images/proc4.png)
![Alt text](images/img2.png)

2. Find the damping ratio (ζ) from the logarithmic decrement (δ). The damping ratio is given by
[<img src="./images/proc5.png" width="150" height="75" />](./images/proc5.png)
[<img src="./images/proc6.png" width="800" height="600" />](./images/proc6.png)
Click on Play icon <img src="images/play1.png" alt="Alt text" style="height:80px; width:80px;"> to run the simulation and click on Pause icon <img src="images/pause.png" alt="Alt text" style="height:80px; width:80px;"> to stop it.

3. Find beam stiffness (k) N/m from Young's modulus (E), area moment of inertia (I) and length (L). The stiffness for different beams is given below
[<img src="./images/proc7.png" />](./images/proc7.png)
[<img src="./images/proc8.png" width="800" height="600" />](./images/proc8.png)
Click on the graph icon <img src="images/graph1.png" alt="Alt text" style="height:80px; width:80px;"> to view the graph.

4. Find natural frequency (ω<sub>n</sub>) rad/s from ω<sub>d</sub> and ζ
ω<sub>d</sub> can found from the FFT in the graph window.
[<img src="./images/proc9.png" width="150" height="75" />](./images/proc9.png)
[<img src="./images/proc10.png" width="800" height="600" />](./images/proc10.png)
![Alt text](images/img4.png)

5. Find equivalent mass ( m<sub>eq</sub>) in kg from ω<sub>d</sub> and k.
[<img src="./images/proc11.png" width="100" height="70" />](./images/proc11.png)
[<img src="./images/proc12.png" width="800" height="600" />](./images/proc12.png)

6. Find critical damping (c<sub>c</sub> in Ns/m) from m<sub>eq</sub> and k.
[<img src="./images/proc13.png" width="100" height="35" />](./images/proc13.png)

7. Find damping (c) Ns/m from c<sub>c</sub> and ζ.
[<img src="./images/proc14.png" width="80" height="30" />](./images/proc14.png)
[<img src="./images/proc15.png" width="800" height="600" />](./images/proc15.png)

**RESULT**:
System damping c has been found. The basic concepts in free vibration of SDOF systems are covered.

[<img src="./images/proc16.png" width="800" height="600" />](./images/proc16.png)
Click on the result icon <img src="images/result.png" alt="Alt text" style="height:80px;width:80px;"> to view the result tab

![Alt text](images/img3.png)
</div>
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