273 lines
9.1 KiB
HTML
273 lines
9.1 KiB
HTML
<!--
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This work is licensed under CC BY-NC-ND 4.0
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Link to license: http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribute to Russell Georgi
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-->
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<html>
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<head>
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<title>
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Waves 2-1
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</title>
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<style>
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.container
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{
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position: relative;
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}
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#caseOneButton
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{
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left: 12.5px;
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top: 12.5px;
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width: 100px;
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height: 50px;
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position: absolute;
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}
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#caseTwoButton
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{
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left: 12.5px;
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top: 75px;
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width: 100px;
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height: 50px;
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position: absolute;
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}
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#caseThreeButton
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{
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left: 12.5px;
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top: 137.5px;
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width: 100px;
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height: 50px;
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position: absolute;
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}
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#caseFourButton
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{
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left: 12.5px;
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top: 200px;
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width: 100px;
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height: 50px;
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position: absolute;
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}
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canvas
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{
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position: absolute;
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}
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html, body {
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width: 100%;
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height: 100%;
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margin: 0px;
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border: 0;
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overflow: hidden;
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display: block;
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}
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</style>
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</head>
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<body>
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<canvas id="myCanvas" width="1" height="1" style="border:1px solid #ffffff;"></canvas>
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<div class="container">
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<button type="button" id="caseOneButton" onclick="Case1()">ω/ω₀ = 0.5</button>
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<button type="button" id="caseTwoButton" onclick="Case2()">ω/ω₀ = 0.75</button>
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<button type="button" id="caseThreeButton" onclick="Case3()">ω/ω₀ = 1</button>
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<button type="button" id="caseFourButton" onclick="Case4()">ω/ω₀ = 2</button>
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</div>
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<script>
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var c = document.getElementById("myCanvas");
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var ctx = c.getContext("2d");
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ctx.canvas.width = window.innerWidth;
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ctx.canvas.height = window.innerHeight;
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function Clear(ctx)
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{
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ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
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}
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var cl = 11;
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var clc = 12;
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var dt = .025;
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var o = 1.5;
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var g = .5;
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var dom = .1;
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var bottom = 0;
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var side = 350;
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var dh = 150;
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var dr = -50;
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var h = 10;
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var k = 90;
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var m = 10;
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var v = 0;
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var dis = 0;
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var phi = 0;
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var i = 1;
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var t = 0;
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var xPos = -20;
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var yPos = 00;
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var amp = 0;
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var pause = false;
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var steadyStadeReps = 400;
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var o0 = Math.sqrt(k/m);
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CalculateInitialValues();
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ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
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ctx.scale(3, 3);
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function Update()
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{
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if (!pause)
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{
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dis += v * dt;
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var stretch = (-h*Math.cos(o*t - phi) + dis)
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v += ((-stretch * k * dt / m) + (-v * g * dt));
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Draw();
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t = t + dt;
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ctx.strokeStyle = "#000000";
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}
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setTimeout(Update, 1000/120);
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}
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Update();
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function Case1()
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{
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o = Math.sqrt(k/m) * 0.5;
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CalculateInitialValues();
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}
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function Case2()
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{
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o = Math.sqrt(k/m) * 0.75;
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CalculateInitialValues();
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}
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function Case3()
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{
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o = Math.sqrt(k/m);
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CalculateInitialValues();
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}
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function Case4()
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{
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o = Math.sqrt(k/m) * 2;
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CalculateInitialValues();
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}
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function Draw()
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{
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Clear(ctx);
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var x1 = dr + h*Math.cos(o*t);
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var a = (h*(o0^2 - o^2))/((o0^2 - o^2)^2 + g^2 * o^2)
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var b = (h*(g*o))/((o0^2 - o^2)^2 + g^2 * o^2)
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var x2 = dh + dr + dis
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if (x2 > amp)
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{
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amp = x2;
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}
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ctx.beginPath();
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ctx.moveTo(dr + xPos, -10 + yPos);
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ctx.lineTo(dr + xPos, yPos);
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ctx.stroke();
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ctx.beginPath();
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ctx.moveTo(dh + dr + xPos, -10 + yPos);
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ctx.lineTo(dh + dr + xPos, yPos);
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ctx.stroke();
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ctx.beginPath();
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ctx.moveTo(h + dr + xPos, -10 + yPos);
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ctx.lineTo(h + dr + xPos, yPos);
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ctx.stroke();
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ctx.beginPath();
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ctx.moveTo(dh + dr + (k*h/m)/(g*o0) + xPos, -10 + yPos);
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ctx.lineTo(dh + dr + (k*h/m)/(g*o0) + xPos, 0 + yPos);
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ctx.stroke();
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ctx.beginPath();
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ctx.moveTo(-h + dr + xPos, -10 + yPos);
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ctx.lineTo(-h + dr + xPos, yPos);
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ctx.stroke();
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ctx.beginPath();
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ctx.moveTo(dh + dr - (k*h/m)/(g*o0) + xPos, -10 + yPos);
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ctx.lineTo(dh + dr - (k*h/m)/(g*o0) + xPos, yPos);
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ctx.stroke();
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var dx = (x2 - x1) / 3;
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/*ctx.beginPath();
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ctx.moveTo(x1 + 10 + xPos, -30 + yPos);
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ctx.lineTo(x1 + dx + xPos, -20 + yPos);
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ctx.stroke();
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ctx.beginPath();
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ctx.moveTo(x1 + dx + xPos, -20 + yPos);
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ctx.lineTo(x1 + dx + dx + xPos, -40 + yPos);
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ctx.stroke();
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ctx.beginPath();
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ctx.moveTo(x1 + dx + dx + xPos, -40 + yPos);
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ctx.lineTo(x2 - 10 + xPos, -30 + yPos);
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ctx.stroke();*/
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drawSpring(1, 3, (x2 - 10) - (x1 + 10), 10, 10, x1 + 10 + xPos, -30 + yPos, 0.1);
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ctx.fillStyle = "#ffffff";
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ctx.beginPath();
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ctx.arc(x1 + xPos, -30 + yPos, 10, 0, Math.PI * 2);
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ctx.fill();
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ctx.beginPath();
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ctx.arc(x2 + xPos, -30 + yPos, 10, 0, Math.PI * 2);
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ctx.fill();
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ctx.beginPath();
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ctx.arc(x1 + xPos, -30 + yPos, 10, 0, Math.PI * 2);
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ctx.stroke();
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ctx.beginPath();
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ctx.arc(x2 + xPos, -30 + yPos, 10, 0, Math.PI * 2);
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ctx.stroke();
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}
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function Reset()
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{
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pause = !pause;
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}
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function drawSpring(a, b, xSize, ySize, numLoops, x, y, tStep)
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{
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var tStart = Math.PI / 2;
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var tEnd = (3 * Math.PI / 2) + (2 * Math.PI * numLoops);
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var xEnd = a * tEnd - b * Math.sin(tEnd);
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var yEnd = a + b;
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var xFactor = xSize / xEnd;
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var yFactor = ySize / yEnd;
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var xShift = x - a * (Math.PI / 2) + b * Math.sin(Math.PI / 2);
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var yShift = y - a + b * Math.cos(Math.PI / 2);
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for (p = tStart; p <= tEnd; p += tStep)
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{
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ctx.beginPath();
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ctx.moveTo(xShift + xFactor * (a * p - b * Math.sin(p)), yShift + yFactor * (a - b * Math.cos(p)));
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ctx.lineTo(xShift + xFactor * (a * (p + tStep) - b * Math.sin(p + tStep)), yShift + yFactor * (a - b * Math.cos(p + tStep)));
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ctx.stroke();
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}
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}
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function CalculateInitialValues()
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{
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/*var a = ((k*h/m)*(o0^2 - o^2))/((o0^2 - o^2)^2 + g^2 * o^2);
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var b = ((k*h/m)*(g*o))/((o0^2 - o^2)^2 + g^2 * o^2);
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phi = Math.atan(b/a);
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if (a < 0)
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{
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phi += Math.PI;
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}
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dis = 0;
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v = o * ((k*h/m)/(g*o0));*/
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for (j = 0; j < steadyStadeReps; j++)
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{
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dis += v * dt;
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var stretch = (-h*Math.cos(o*t - phi) + dis)
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v += ((-stretch * k * dt / m) + (-v * g * dt));
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t = t + dt;
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}
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}
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window.addEventListener('resize', function(event) {
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c.width = window.innerWidth;
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c.height = window.innerHeight;
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ctx.translate(c.width / 2, c.height / 2);
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ctx.scale(3, 3);
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}, true);
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</script>
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</body>
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<p xmlns:cc="http://creativecommons.org/ns#" style="font-size: 1vw; bottom: 0px; position: absolute;">
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This work is licensed under
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<a href="http://creativecommons.org/licenses/by-nc-nd/4.0/?ref=chooser-v1" target="_blank" rel="license noopener noreferrer" style="display:inline-block;">CC BY-NC-ND 4.0<img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/cc.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/by.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/nc.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/nd.svg?ref=chooser-v1"></a></p>
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</html> |