Мещерский Задача 6.11
Материал из Department of Theoretical and Applied Mechanics
Визуализация 3D-задачи по статике на JavaScript
Исполнитель: Лобанов Илья
Группа: 23604/1
Задача[править]
Решение задачи[править]
<syntaxhighlight lang="javascript" line start="1" enclose="div">
<html>
<head>
<script src = "http://tm.spbstu.ru/htmlets/Lobanov_I_Y/JS_files/three.js"></script>
<script src = "http://tm.spbstu.ru/htmlets/Lobanov_I_Y/JS_files/OrbitControls.js"></script>
<script src = "http://tm.spbstu.ru/htmlets/Lobanov_I_Y/JS_files/dat.gui.min.js"></script>
<script src = "http://tm.spbstu.ru/htmlets/Lobanov_I_Y/JS_files/stats.min.js"></script>
</head>
<body>
<script>
var scene,
camera,
renderer;
var LENGTH_AB = 20;
var RADIUS_RACK = 1;
var statFPS;
var panelControlOptions;
var panelInfoEffort;
var gui;
//Стойка AB.
var geometryRackAB,
materialRackAB,
meshRackAB,
colorRackAB = {color: 0x6A5ACD};
//Стойка BD.
var geometryRackBD,
materialRackBD,
meshRackBD,
colorRackBD = {color: 0x6A5ACD};
//Стойка BE.
var geometryRackBE,
materialRackBE,
meshRackBE,
colorRackBE = {color: 0x6A5ACD};
//Стойка AC.
var geometryRackAC,
materialRackAC,
meshRackAC,
colorRackAC = {color: 0x6A5ACD};
//Шарнир в точке B.
var geometryHingeB,
materialHingeB,
meshHingeB,
colorHingeB = {color: 0x6A5ACD};
//Шарнир в точке A.
var geometryHingeA,
materialHingeA,
meshHingeA,
colorHingeA = {color: 0x6A5ACD};
//Шарнир в точке D.
var geometryHingeD,
materialHingeD,
meshHingeD,
colorHingeD = {color: 0x6A5ACD};
//Шарнир в точке E.
var geometryHingeE,
materialHingeE,
meshHingeE,
colorHingeE = {color: 0x6A5ACD};
//Трос.
var geometryCableBCP,
materialCableBCP,
meshCableBCP,
colorCableBCP = {color: 0x000000};
//Наконечник стойки AC.
var geometryEndRackAC,
materialEndRackAC,
meshEndRackAC,
colorEndRackAC = {color: 0x6A5ACD};
//Груз.
var geometryCargoP,
materialCargoP,
meshCargoP,
colorCargoP = {color: 0xFF4500};
var vectorEffortAB,
colorEffortAB = 0xFF0000;
var vectorEffortBD,
colorEffortBD = 0xFF0000;
var vectorEffortBE,
colorEffortBE = 0xFF0000;
//Функции инициализации
function init() {
scene = new THREE.Scene();
camera = new THREE.PerspectiveCamera(100, window.innerWidth / window.innerHeight, 0.1, 100);
renderer = new THREE.WebGLRenderer();
renderer.setSize(window.innerWidth, window.innerHeight);
renderer.setClearColor(0xEEEEEE);
//renderer.shadowMap.enabled=true;
document.getElementById("WebGL").appendChild(renderer.domElement);
camera.position.x = 0;
camera.position.y = 0;
camera.position.z = 40;
camera.lookAt(0, 0, 0);
axes = new THREE.AxisHelper(50);
scene.add(axes);
control = new THREE.OrbitControls(camera,renderer.domElement);
panelControlOptions = new function() {
this.alpha = 0.0;
this.weightP = 10.0;
this.visibleEffort = true;
}
panelInfoEffort = new function() {
this.Sbd = '0';
this.Sbe = '0';
this.Sab = '0';
}
gui = new dat.GUI();
gui.add(panelControlOptions, 'alpha', -90, 90).onChange(redrawCraneElements);
gui.add(panelControlOptions, 'weightP', 1, 100).onChange(redrawCraneElements);
gui.add(panelControlOptions, 'visibleEffort').onChange(redrawCraneElements);
gui.add(panelInfoEffort, 'Sbd').listen();
gui.add(panelInfoEffort, 'Sbe').listen();
gui.add(panelInfoEffort, 'Sab').listen();
drawStaticCraneElements();
drawDynamicCraneElements();
statFPS = initStatFPS();
render();
window.addEventListener('resize',changeSizeWindow,false);
}
function drawStaticCraneElements() {
geometryRackAB = new THREE.CylinderGeometry(RADIUS_RACK, RADIUS_RACK, LENGTH_AB, 32);
materialRackAB = new THREE.MeshBasicMaterial(colorRackAB);
meshRackAB = new THREE.Mesh(geometryRackAB, materialRackAB);
meshRackAB.position.x = 0;
meshRackAB.position.y = LENGTH_AB / 2;
meshRackAB.position.z = 0;
scene.add(meshRackAB);
geometryRackBD = new THREE.CylinderGeometry(RADIUS_RACK, RADIUS_RACK, Math.sqrt(2) * LENGTH_AB, 32);
materialRackBD = new THREE.MeshBasicMaterial(colorRackBD);
meshRackBD = new THREE.Mesh(geometryRackBD, materialRackBD);
meshRackBD.position.x = -Math.cos(Math.PI / 4) * (LENGTH_AB / 2);
meshRackBD.position.y = LENGTH_AB / 2;
meshRackBD.position.z = Math.sin(Math.PI / 4) * (LENGTH_AB / 2);
meshRackBD.rotation.y = Math.PI / 4;
meshRackBD.rotation.z = -Math.PI / 4;
scene.add(meshRackBD);
geometryRackBE = new THREE.CylinderGeometry(RADIUS_RACK, RADIUS_RACK, Math.sqrt(2) * LENGTH_AB, 32);
materialRackBE = new THREE.MeshBasicMaterial(colorRackBE);
meshRackBE = new THREE.Mesh(geometryRackBE, materialRackBE);
meshRackBE.position.x = -Math.cos(Math.PI / 4) * (LENGTH_AB / 2);
meshRackBE.position.y = LENGTH_AB / 2;
meshRackBE.position.z = -Math.sin(Math.PI / 4) * (LENGTH_AB / 2);
meshRackBE.rotation.y = -Math.PI / 4;
meshRackBE.rotation.z = -Math.PI / 4;
scene.add(meshRackBE);
geometryHingeB = new THREE.SphereGeometry(RADIUS_RACK, 32, 32);
materialHingeB = new THREE.MeshBasicMaterial(colorHingeB);
meshHingeB = new THREE.Mesh(geometryHingeB, materialHingeB);
meshHingeB.position.y = LENGTH_AB;
scene.add(meshHingeB);
geometryHingeA = new THREE.SphereGeometry(RADIUS_RACK, 32, 32);
materialHingeA = new THREE.MeshBasicMaterial(colorHingeA);
meshHingeA = new THREE.Mesh(geometryHingeA, materialHingeA);
scene.add(meshHingeA);
geometryHingeD = new THREE.SphereGeometry(RADIUS_RACK, 32, 32);
materialHingeD = new THREE.MeshBasicMaterial(colorHingeD);
meshHingeD = new THREE.Mesh(geometryHingeD, materialHingeD);
meshHingeD.position.x = -LENGTH_AB * Math.cos(Math.PI / 4);
meshHingeD.position.z = LENGTH_AB * Math.sin(Math.PI / 4);
scene.add(meshHingeD);
geometryHingeE = new THREE.SphereGeometry(RADIUS_RACK, 32, 32);
materialHingeE = new THREE.MeshBasicMaterial(colorHingeE);
meshHingeE = new THREE.Mesh(geometryHingeE, materialHingeE);
meshHingeE.position.x = -LENGTH_AB * Math.cos(Math.PI / 4);
meshHingeE.position.z = -LENGTH_AB * Math.sin(Math.PI / 4);
scene.add(meshHingeE);
renderer.render(scene, camera);
}
function drawDynamicCraneElements() {
var ALPHA = panelControlOptions.alpha / 180 * Math.PI;
var WEIGHT_P = panelControlOptions.weightP;
panelInfoEffort.Sbd = WEIGHT_P * (Math.cos(ALPHA) - Math.sin(ALPHA));
panelInfoEffort.Sbe = WEIGHT_P * (Math.cos(ALPHA) + Math.sin(ALPHA));
panelInfoEffort.Sab = -WEIGHT_P * Math.sqrt(2) * Math.cos(ALPHA);
geometryRackAC = new THREE.CylinderGeometry(RADIUS_RACK, RADIUS_RACK, Math.sqrt(2) * LENGTH_AB, 32);
materialRackAC = new THREE.MeshBasicMaterial(colorRackAC);
meshRackAC = new THREE.Mesh(geometryRackAC, materialRackAC);
meshRackAC.position.x = Math.cos(ALPHA) * (LENGTH_AB / 2);
meshRackAC.position.y = LENGTH_AB / 2;
meshRackAC.position.z = -Math.sin(ALPHA) * (LENGTH_AB / 2);
meshRackAC.rotation.y = ALPHA;
meshRackAC.rotation.z = -Math.PI / 4;
scene.add(meshRackAC);
geometryCableBCP = new THREE.Geometry();
geometryCableBCP.vertices.push(
new THREE.Vector3(0, LENGTH_AB + RADIUS_RACK, 0),
new THREE.Vector3(Math.cos(ALPHA) * (LENGTH_AB + RADIUS_RACK), LENGTH_AB + RADIUS_RACK, -Math.sin(ALPHA) * (LENGTH_AB + RADIUS_RACK)),
new THREE.Vector3(Math.cos(ALPHA) * (LENGTH_AB + RADIUS_RACK), LENGTH_AB / 2, -Math.sin(ALPHA) * (LENGTH_AB + RADIUS_RACK)));
materialCableBCP = new THREE.LineBasicMaterial(colorCableBCP);
meshCableBCP = new THREE.Line(geometryCableBCP, materialCableBCP);
scene.add(meshCableBCP);
geometryEndRackAC = new THREE.SphereGeometry(RADIUS_RACK, 32, 32);
materialEndRackAC = new THREE.MeshBasicMaterial(colorEndRackAC);
meshEndRackAC = new THREE.Mesh(geometryEndRackAC, materialEndRackAC);
meshEndRackAC.position.x = Math.cos(ALPHA) * LENGTH_AB;
meshEndRackAC.position.y = LENGTH_AB;
meshEndRackAC.position.z = -Math.sin(ALPHA) * LENGTH_AB;
scene.add(meshEndRackAC);
geometryCargoP = new THREE.BoxGeometry(4, 2, 4);
materialCargoP = new THREE.MeshBasicMaterial(colorCargoP);
meshCargoP = new THREE.Mesh(geometryCargoP, materialCargoP);
meshCargoP.position.x = Math.cos(ALPHA) * (LENGTH_AB + RADIUS_RACK);
meshCargoP.position.y = LENGTH_AB / 2;
meshCargoP.position.z = -Math.sin(ALPHA) * (LENGTH_AB + RADIUS_RACK);
scene.add(meshCargoP);
if(panelControlOptions.visibleEffort == true) {
var tmp = -WEIGHT_P * Math.sqrt(2) * Math.cos(ALPHA);
vectorEffortAB = new THREE.ArrowHelper(
new THREE.Vector3(0, (tmp < 0) ? -1 : 0, 0),
new THREE.Vector3(0, (tmp < 0) ? (-LENGTH_AB / 2) : (LENGTH_AB / 2), 0),
Math.abs(tmp),
colorEffortAB
);
meshRackAB.add(vectorEffortAB);
var tmp = WEIGHT_P * (Math.cos(ALPHA) - Math.sin(ALPHA));
vectorEffortBD = new THREE.ArrowHelper(
new THREE.Vector3(0, (tmp < 0) ? -1 : 1, 0),
new THREE.Vector3(0, (tmp < 0) ? -(Math.sqrt(2) * LENGTH_AB / 2) : (Math.sqrt(2) * LENGTH_AB / 2), 0),
Math.abs(tmp),
colorEffortBD
);
meshRackBD.add(vectorEffortBD);
var tmp = WEIGHT_P * (Math.cos(ALPHA) + Math.sin(ALPHA));
vectorEffortBE = new THREE.ArrowHelper(
new THREE.Vector3(0, (tmp < 0) ? -1 : 1, 0),
new THREE.Vector3(0, (tmp < 0) ? -(Math.sqrt(2) * LENGTH_AB / 2) : (Math.sqrt(2) * LENGTH_AB / 2), 0),
Math.abs(tmp),
colorEffortBE
);
meshRackBE.add(vectorEffortBE);
} else {
vectorEffortAB = null;
vectorEffortBD = null;
vectorEffortBE = null;
}
renderer.render(scene, camera);
}
function redrawCraneElements() {
scene.remove(meshRackAC);
scene.remove(meshCableBCP);
scene.remove(meshEndRackAC);
scene.remove(meshCargoP);
if (vectorEffortAB != null) meshRackAB.remove(vectorEffortAB);
if (vectorEffortBD != null) meshRackBD.remove(vectorEffortBD);
if (vectorEffortBE != null) meshRackBE.remove(vectorEffortBE);
drawDynamicCraneElements();
}
function render() {
statFPS.update();
requestAnimationFrame(render);
renderer.render(scene, camera);
}
function changeSizeWindow() {
camera.aspect=window.innerWidth/window.innerHeight;
camera.updateProjectionMatrix();
renderer.setSize(window.innerWidth,window.innerHeight);
}
function initStatFPS()
{
var stats=new Stats();
stats.setMode(0);
stats.domElement.style.position='0px';
stats.domElement.style.left='0px';
stats.domElement.style.top='0px';
document.getElementById("Stats-output").appendChild(stats.domElement);
return stats;
}
window.onload = init;
</script>
</body>
</html>
