E-Code2-DOF vibration: modes — a TI-84 Plus CE program
VIB2 is a TI-BASIC program for the TI-84 Plus CE. Two masses, three springs: both natural frequencies from the characteristic quadratic, in rad/s and Hz, and the mode-shape ratios.
What it asks for and what it shows
It asks for 5 values at its prompts. In the example below it shows W1, W2, F1 HZ, F2 HZ, X2/X1 1, X2/X1 2.
Example run
One of its oracle test cases: “fixed-fixed”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Input 1 | 2 |
| Input 2 | 3 |
| Input 3 | 1200 |
| Input 4 | 800 |
| Input 5 | 1500 |
| The screen shows | |
W1= | 23.1629546 |
W2= | 35.07341159 |
F1 HZ= | 3.686498722 |
F2 HZ= | 5.582106826 |
X2/X1 1= | 1.158693835 |
X2/X1 2= | -0.5753605019 |
How it's checked
4 test cases, each checked against an independent method. Replayed key by key on a virtual TI-84 Plus CE, they make 27 checks.
How E-Code checks every program
Run it or put it on your calculator
- Open the library in the TI-84 Plus CE calculator and pick “2-DOF vibration: modes” (VIB2).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
Related programs
- 1-DOF forced vibration
- Transient plane wall (first term)
- Second-order step response metrics
- RC circuit charging transient
- Cantilever beam deflection
All TI-84 Plus CE engineering programs · All TI-84 Plus CE programs