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damped_harmonic_oscillator.html
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damped_harmonic_oscillator.html
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<!DOCTYPE html>
<html>
<head>
<script language="javascript" type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/p5.js/1.0.0/p5.js"></script>
<script language="javascript" type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/p5.js/0.9.0/addons/p5.dom.js"></script>
<style>
body {
padding: 0;
margin: 0;
}
input[type="range"] {
-webkit-appearance: none;
width: 100%;
margin: 4.15px 0;
}
input[type="range"]:focus {
outline: none;
}
input[type="range"]::-webkit-slider-runnable-track {
width: 100%;
height: 6.7px;
cursor: pointer;
box-shadow: 1px 1px 1px #000000, 0px 0px 1px #0d0d0d;
background: #ffffff;
border-radius: 1.3px;
border: 0.2px solid #010101;
}
input[type="range"]::-webkit-slider-thumb {
box-shadow: 0.9px 0.9px 1px #000000, 0px 0px 0.9px #0d0d0d;
border: 1.1px solid #000000;
height: 15px;
width: 40px;
border-radius: 50px;
background: red;
cursor: pointer;
-webkit-appearance: none;
margin-top: -4.35px;
}
input[type="range"]:focus::-webkit-slider-runnable-track {
background: #ffffff;
}
</style>
</head>
<body>
<script>
// x = A e−γt cos(omega1t + phi)
let k; //spring constant
let m; //mass
let A; //amplitude
let phi = 3; //phase
let omega0; //natural frequency
let b; //drag coefficient
let gamma; //damping factor
let omega1; //damped frequency
let step = 1;
let totalWidthWave;
var sliderK;
var sliderM;
var sliderA;
var sliderB;
function setup() {
createCanvas(800, 600);
sliderA = createSlider(1, 150, 120, 1);
sliderA.position(25, 30);
sliderA.style("width", "250px");
sliderK = createSlider(0, 2, 0.5, 0.01);
sliderK.position(25, 80);
sliderK.style("width", "250px");
sliderM = createSlider(0, 500, 12, 1);
sliderM.position(25, 130);
sliderM.style("width", "250px");
sliderB = createSlider(0, 1, 0.25, 0.01);
sliderB.position(450, 30);
sliderB.style("width", "250px");
}
function draw() {
background(220);
grid();
noStroke();
textSize(16);
A = sliderA.value();
text("Amplitude: " + A, 30, 20);
k = sliderK.value();
text("Spring constant: " + k, 30, 70);
m = sliderM.value();
text("Mass: " + m, 30, 120);
b = sliderB.value();
text("Drag coefficient: " + b, 450, 20);
omega0 = sqrt(k / m);
gamma = b / (2 * m);
omega1 = sqrt(omega0 ** 2 - gamma ** 2);
calcWave();
renderWave();
}
function grid() {
stroke("#000000");
fill("#000000");
strokeWeight(1);
for (let i = 0; i < width; i += 20) {
line(i, 0, i, height);
}
for (let j = 0; j < height; j += 20) {
line(0, j, width, j);
}
strokeWeight(3);
line(width / 2, 0, width / 2, height);
line(0, height / 2, width, height / 2);
}
function calcWave() {
totalWidthWave = width + 26;
yvalues = new Array(floor(totalWidthWave / step));
for (let t = 0; t < yvalues.length; t++) {
if (omega0 == 0) {
yvalues[t] = 0;
} else {
yvalues[t] = A * exp(-gamma * t) * cos(omega1 * t + phi);
}
}
}
function renderWave(x, y) {
noFill();
stroke("red");
strokeJoin(ROUND);
beginShape();
for (let x = 0; x < yvalues.length; x += 1) {
vertex(x * step, yvalues[x] + height / 2);
}
endShape();
}
</script>
</body>
</html>