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Title	Double Pendulum Simulation
ID	6479850335289344
Created	26 days ago, 1734218110393
Updated	26 days ago, 1734225981389
Code	/** _______ ______ __ __ .______ __ _______ \| \ / __ \ \| \| \| \| \| _ \ \| \| \| ____\| \| .--. \| \| \| \| \| \| \| \| \| \|_) \| \| \| \| \|__ \| \| \| \| \| \| \| \| \| \| \| \| _ < \| \| \| __\| \| '--' \| `--' \| \| `--' \| \| \|_) \| \| `----.\| \|____ \|_______/ \______/ \______/ \|______/ \|_______\|\|_______\| _____ _ _ \| __ \ \| \| \| \| \| \|__) \|__ _ __ __\| \|_ _\| \|_ _ _ __ ___ \| ___/ _ \ '_ \ / _` \| \| \| \| \| \| \| \| '_ ` _ \ \| \| \| __/ \| \| \| (_\| \| \|_\| \| \| \|_\| \| \| \| \| \| \| \|_\| \___\|_\| \|_\|\__,_\|\__,_\|_\|\__,_\|_\| \|_\| \|_\| // Made by Tac Leave Suggestions for Projects or Changes to this one In Tips & Thanks / frameRate(120); var g = 1; // Gravitational acceleration var m1 = 20; // Mass of pendulum 1 var m2 = 70; // Mass of pendulum 2 var l1 = 120; // Length of pendulum 1 var l2 = 170; // Length of pendulum 2 var a1 = 179.1; // Initial angle of pendulum 1 var a2 = 180.1; // Initial angle of pendulum 2 var dt = 0.02; // Time step for simulation (seconds), controlling the precision of the calculation var a1_v = 0; // Initial angular velocity of pendulum 1 (rad/s) var a2_v = 0; // Initial angular velocity of pendulum 2 (rad/s) var originX = 300; // X coordinate of the origin point where the first pendulum is attached var originY = 300; // Y coordinate of the origin point where the first pendulum is attached var x1, y1, x2, y2; background(255); fill(0); stroke(143, 143, 143); ellipse(originX,originY,(l1+l2)2.04,(l1+l2)2.04); function draw() { function derivatives(state) { var a1 = state[0]; var a2 = state[1]; var a1_v = state[2]; var a2_v = state[3]; var num1 = -g (2 * m1 + m2) * Math.sin(a1); var num2 = -m2 * g * Math.sin(a1 - 2 * a2); var num3 = -2 * Math.sin(a1 - a2) * m2; var num4 = a2_v * a2_v * l2 + a1_v * a1_v * l1 * Math.cos(a1 - a2); var den1 = l1 * (2 * m1 + m2 - m2 * Math.cos(2 * a1 - 2 * a2)); var a1_a = (num1 + num2 + num3 * num4) / den1; var num1_2 = 2 * Math.sin(a1 - a2); var num2_2 = a1_v * a1_v * l1 * (m1 + m2) + g * (m1 + m2) * Math.cos(a1) + a2_v * a2_v * l2 * m2 * Math.cos(a1 - a2); var den2 = l2 * (2 * m1 + m2 - m2 * Math.cos(2 * a1 - 2 * a2)); var a2_a = (num1_2 * num2_2) / den2; return [a1_v, a2_v, a1_a, a2_a]; } function rk4(state, dt) { var k1 = derivatives(state); var k2 = derivatives(state.map(function(val, i) { return val + 0.5 * k1[i] * dt; })); var k3 = derivatives(state.map(function(val, i) { return val + 0.5 * k2[i] * dt; })); var k4 = derivatives(state.map(function(val, i) { return val + k3[i] * dt; })); return state.map(function(val, i) { return val + (1 / 6) * dt * (k1[i] + 2 * k2[i] + 2 * k3[i] + k4[i]); }); } var state = [a1 * Math.PI / 180, a2 * Math.PI / 180, a1_v, a2_v]; state = rk4(state, dt); a1 = state[0] * 180 / Math.PI; a2 = state[1] * 180 / Math.PI; a1_v = state[2]; a2_v = state[3]; x1 = originX + l1 * Math.sin(a1 * Math.PI / 180); y1 = originY + l1 * Math.cos(a1 * Math.PI / 180); x2 = x1 + l2 * Math.sin(a2 * Math.PI / 180); y2 = y1 + l2 * Math.cos(a2 * Math.PI / 180); var cycle = Math.floor((frameCount / 600) % 8); var colors = [ [255, 0, 0], [255, 165, 0], [255, 255, 0], [0, 255, 0], [0, 0, 255], [128, 0, 128], [255, 0, 255], [255, 0, 0] ]; var t = (frameCount % 600) / 600; // Transition time increased to 600 frames var startColor = colors[cycle]; var endColor = colors[(cycle + 1) % 8]; var r = (1 - t) * startColor[0] + t * endColor[0]; var g = (1 - t) * startColor[1] + t * endColor[1]; var b = (1 - t) * startColor[2] + t * endColor[2]; stroke(r, g, b); strokeWeight(3); line(originX, originY, x1, y1); line(x1, y1, x2, y2); }
Folds	39,101
Fork	false
Key	ag5zfmtoYW4tYWNhZGVteXIXCxIKU2NyYXRjaHBhZBiAgLvLu6zBCww
Votes	18
Spin-Offs	2
Type	PJS
Width	600
Height	600
User Flagged	false
Origin Scratchpad	null
Hidden From Hotlist	false
Restricted Posting	false
By Child	false
Author Nick	Tac
Author Name	Tac8
Author ID	kaid_1052156029901560195168404
Author Profile Access	COACH

Archive Data

Added	23 days ago, 1734463814512
Updated	23 days ago, 1734463814512
Source Deleted	unknown