Мещерский Задача 8.40 — различия между версиями

Материал из Department of Theoretical and Applied Mechanics
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(→‎Условие задачи)
 
(не показано 7 промежуточных версий этого же участника)
Строка 11: Строка 11:
 
[[File:DavA2.bmp]]
 
[[File:DavA2.bmp]]
  
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{{#widget:Iframe |url=http://tm.spbstu.ru:8090/ws-htmlets/DavydovaA/Kartina/Mesherskiy1.html |width=1000 |height=830 |border=0 }}
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{{#widget:Iframe |url=http://tm.spbstu.ru/htmlets/DavydovaA/Kartina/Mesherskiy1.html |width=1000 |height=830 |border=0 }}
 +
 
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<div class="mw-collapsible mw-collapsed" style="width:100%" >
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<syntaxhighlight lang="javascript" line start="1" enclose="div">
 +
 
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<!DOCTYPE html>
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 +
<html>
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  <script src = "http://tm.spbstu.ru/htmlets/DavydovaA/Kartina/three.js" >
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</script>
 +
<script src = "http://tm.spbstu.ru/htmlets/DavydovaA/Kartina/stats.min.js" >
 +
</script>
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<script src = "http://tm.spbstu.ru/htmlets/DavydovaA/Kartina/OrbitControls.js" >
 +
</script>
 +
<script src = "http://tm.spbstu.ru/htmlets/DavydovaA/Kartina/dat.gui.js" >
 +
</script>
 +
<style>
 +
body
 +
{
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margin:0;
 +
overflow:hidden;
 +
}
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</style>
 +
 +
</head>
 +
<body>
 +
 +
<div id = "WebGL"> </div>
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<div id="WebGL-output"> </div>
 +
<div id = "Stats-output"> </div>
 +
 +
<script type="text/javascript">
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var renderer,scene,camera,stats,sphere,cube,controls,control,spotLight, torus, torusM;
 +
var allowHelper1,allowHelper2,allowHelper3,allowHelper4,allowHelper5,allowHelper6,allowHelper7;
 +
var step = 0;
 +
scene = new THREE.Scene();
 +
camera = new THREE.PerspectiveCamera(45, window.innerWidth / window.innerHeight, 0.1, 1000);
 +
renderer = new THREE.WebGLRenderer();
 +
 +
renderer.setClearColor(0xEEEEEE, 1.0);
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renderer.setSize(window.innerWidth, window.innerHeight);
 +
renderer.shadowMap.Enabled = true;
 +
 +
var M = 20;
 +
var g = 10;
 +
var L = 0.6;
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var H = 0.75;
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var tg = 0.75;
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var Lsh = 0.85;
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var N = 0;
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var Nx = 0;
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var Ny = 0;
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var T = 0;
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var delth = 0;
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var Picture;
 +
var Line2;
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var AH1;
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var AH2;
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var AH3;
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var AH4;
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var AH5;
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var AH6;
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var AH7;
 +
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function physics()
 +
{
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D=(Math.sqrt(Lsh*Lsh-L*L))/2;
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Dpr = 0.3*H;
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dh = Math.sqrt(D*D-Dpr*Dpr);
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sinAl = 2*D/Lsh;
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sinB = dh/D;
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cosB = Dpr/D;
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sinFi = 0.8*cosB+0.6*sinB;
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T = 0.3*M*g/(sinFi*sinAl);
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Nx = T*sinAl*cosB;
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Ny = M*g/2 +-T*sinAl*sinB;
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N=0.5*Math.sqrt(Nx*Nx+Ny*Ny)
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console.log (T,' ',Nx,' ',Ny);
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controls.result_Nx = Nx;
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controls.result_Ny = Ny;
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controls.result_T  = T;
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delth=dh;
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}
 +
 +
 
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function rewrite()
 +
{
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M = controls.Mass;
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L = controls.Length;
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H = 0.75;
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tg = 0.75;
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Lsh = 0.85;
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physics();
 +
}
 +
 +
function init()
 +
{
 +
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var axes = new THREE.AxisHelper( 20 );
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scene.add(axes);
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scene.add(camera);
 +
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//document.body.appendChild( renderer.domElement );
 +
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var polGeometry = new THREE.PlaneGeometry(50,15,1,1);
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var polMaterial = new THREE.MeshLambertMaterial({color:0xDAA520 }); //0xcccccc
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var pol = new THREE.Mesh(polGeometry,polMaterial);
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pol.rotation.x=-0.5*Math.PI;
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pol.position.x = 0;
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pol.position.y = 0;
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pol.position.z = 7.5;
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pol.receiveshadow = true;
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scene.add(pol);
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//wall1
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//var wall1Geometry = new THREE.PlaneGeometry(50,20,1,1)
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/*var wall1Material = new THREE.MeshBasicMaterial({color:0xFFFACD})
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var wall1 = new THREE.Mesh(wall1Geometry,wall1Material);
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wall1.position.y =10;
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//scene.add(wall1);*/
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//wall
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var wallG = new THREE.BoxGeometry(50,20,2);
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var wallM = new THREE.MeshLambertMaterial({color: 0xFFFACD});
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wall = new THREE.Mesh(wallG,wallM);
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wall.castShadow = true;
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wall.position.z = 0;
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wall.position.y = 10;
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scene.add(wall);
 +
 +
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var spotLight = new THREE.SpotLight( 0xffffff );
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spotLight.position.set( 60, 60, 70 );
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spotLight.castShadow = true;
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scene.add( spotLight );
 +
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camera.position.x = -30;
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camera.position.y = 40;
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camera.position.z = 30;
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camera.lookAt(scene.position);
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document.getElementById("WebGL").appendChild(renderer.domElement);
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control = new THREE.OrbitControls(camera,renderer.domElement);
 +
 +
controls = new function()
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{
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this.Mass = M;
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this.Length = L;
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this.Height = H;
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this.result_Nx = Nx;
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this.result_Ny = Ny;
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this.result_T= T;
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//this.Height = ambiColor;
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}
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var gui = new dat.GUI();
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var contr = gui.addFolder('Controls');
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contr.add(controls,'Mass',0,50).onChange(rewrite);
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contr.add(controls,'Length',0,0.71).onChange(rewrite);
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                                var resalt = gui.addFolder('Result');
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resalt.add(controls,'result_Nx').listen();
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resalt.add(controls,'result_Ny').listen();
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resalt.add(controls,'result_T').listen();
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//gui.add.onChange()(physics,'Height',0,1);
 +
 +
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stats = initStats();
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renderScene();
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}
 +
 +
window.onload = init();
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window.addEventListener('resize',onResize,false);
 +
 +
function ClearScene()
 +
{
 +
scene.remove(Picture);
 +
scene.remove(Line2);
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scene.remove(AH1);
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scene.remove(AH2);
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scene.remove(AH3);
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scene.remove(AH4);
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scene.remove(AH5);
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scene.remove(AH6);
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scene.remove(AH7);
 +
}
 +
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function renderScene()
 +
{
 +
stats.update();
 +
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ClearScene();
 +
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physics();
 +
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var lineGeometry = new THREE.Geometry();//Производная фигура
 +
lineGeometry.vertices.push(new THREE.Vector3(-5*L,10,(1+3*H)));//Указываем вектор первой точки
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lineGeometry.vertices.push(new THREE.Vector3(0, 10*delth+10+4*H, 1));//Указываем вектор второй точки
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lineGeometry.vertices.push(new THREE.Vector3(5*L,10,(1+3*H)));
 +
var lineMaterial = new THREE.LineBasicMaterial({color:0xFFFFFF, linewidth:500});
 +
var line = new THREE.Line(lineGeometry, lineMaterial);//Создаем линию из созданной геометрии
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scene.add(line);
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Line2=line;
 +
 +
var pictG = new THREE.BoxGeometry (L*10,H*10,0.5);
 +
var texture = THREE.TextureLoader('iskushenie-sviatogo-antoniya.jpg');
 +
//texture.repeat.set( 1, 1 );
 +
var pictM1 = new THREE.MeshLambertMaterial();//( {map: texture} );
 +
//var pictM2 = new THREE.MeshLambertMaterial({color:0xDAA520 });
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//var pictMaterials =[];
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var pict = new THREE.Mesh(pictG,pictM1);
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pict.position.x = 0;
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pict.position.y = 10;
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pict.position.z = 3.5;
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pict.rotation.x = Math.atan(0.75);
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scene.add(pict);
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Picture = pict;
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var dir = new THREE.Vector3( 0, 0, 1 );
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var origin = new THREE.Vector3( L*5, 10-H*4, 1.1 );
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arrowHelper1 = new THREE.ArrowHelper(dir, origin, Nx/30, 0xFF1493);
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scene.add( arrowHelper1 );
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AH1=arrowHelper1
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 +
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dir = new THREE.Vector3( 0, 1, 0 );
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origin = new THREE.Vector3( L*5, 10-H*4, 1.1 );
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arrowHelper2 = new THREE.ArrowHelper(dir, origin, Ny/30, 0xFF8010);
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scene.add( arrowHelper2 );
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AH2=arrowHelper2;
 +
 +
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dir = new THREE.Vector3(-5*L, 10*delth+4*H, 1-(1+3*H)).normalize();
 +
origin = new THREE.Vector3(5*L,10,(1+3*H));
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arrowHelper3 = new THREE.ArrowHelper(dir, origin, T/30, 0xFF1493, 0.40 , 0.40);
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scene.add( arrowHelper3 );
 +
AH3=arrowHelper3;
 +
 +
dir = new THREE.Vector3(5*L, 10*delth+4*H, 1-(1+3*H)).normalize();
 +
origin = new THREE.Vector3(-5*L,10,(1+3*H));
 +
arrowHelper6 = new THREE.ArrowHelper(dir, origin, T/30, 0xFF1493, 0.40 , 0.40);
 +
scene.add( arrowHelper6 );
 +
AH6=arrowHelper6;
 +
console.log(dir);
 +
 +
dir = new THREE.Vector3( 0, 0, 1 );
 +
origin = new THREE.Vector3( -L*5, 10-H*4, 1.1 );
 +
arrowHelper4 = new THREE.ArrowHelper(dir, origin, Nx/30, 0xFF1493);
 +
scene.add( arrowHelper4 );
 +
AH4=arrowHelper4;
 +
 +
 +
dir = new THREE.Vector3( 0, 1, 0 );
 +
origin = new THREE.Vector3( -L*5, 10-H*4, 1.1 );
 +
arrowHelper5 = new THREE.ArrowHelper(dir, origin, Ny/30, 0xFF8010);
 +
scene.add( arrowHelper5 );
 +
AH5=arrowHelper5;
 +
 +
 +
 +
//step+=controls.bouncingSpeed;
 +
requestAnimationFrame(renderScene);
 +
renderer.render(scene,camera);
 +
 +
}
 +
 +
function onResize()  //moving of camera
 +
{
 +
camera.aspect = window.innerWidth/window.innerHeight;
 +
camera.updateProjectionMatrix();
 +
renderer.setSize(window.innerWidth,window.innerHeight);
 +
}
 +
 +
function render()
 +
{
 +
stats.update();
 +
requestAnimationFrame( render );
 +
renderer.render( scene, camera );
 +
}
 +
 +
function initStats() //window in the left corner
 +
{
 +
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);
 +
//renderer.shadowMap.Enabled = true;
 +
return stats;
 +
}
 +
render();
 +
 +
function onResize()  //moving of camera
 +
{
 +
camera.aspect = window.innerWidth/window.innerHeight;
 +
camera.updateProjectionMatrix();
 +
renderer.setSize(window.innerWidth,window.innerHeight);
 +
}
 +
 +
 
 +
</script>
 +
</body>
 +
</html>

Текущая версия на 22:51, 13 февраля 2017

Мещерский Задача 8.40

Визуализация 3D-задачи по статике на JavaScript

Исполнитель: Давыдова Алена

Группа 23604/1 Кафедра Теоретической механики

Условие задачи[править]

DavA2.bmp

<syntaxhighlight lang="javascript" line start="1" enclose="div">

<!DOCTYPE html>

<html> 

 <script src = "http://tm.spbstu.ru/htmlets/DavydovaA/Kartina/three.js" >

</script> <script src = "http://tm.spbstu.ru/htmlets/DavydovaA/Kartina/stats.min.js" > </script> <script src = "http://tm.spbstu.ru/htmlets/DavydovaA/Kartina/OrbitControls.js" > </script> <script src = "http://tm.spbstu.ru/htmlets/DavydovaA/Kartina/dat.gui.js" > </script> <style> body { margin:0; overflow:hidden; } </style>

</head> <body>

<script type="text/javascript"> var renderer,scene,camera,stats,sphere,cube,controls,control,spotLight, torus, torusM; var allowHelper1,allowHelper2,allowHelper3,allowHelper4,allowHelper5,allowHelper6,allowHelper7; var step = 0; scene = new THREE.Scene(); camera = new THREE.PerspectiveCamera(45, window.innerWidth / window.innerHeight, 0.1, 1000); renderer = new THREE.WebGLRenderer();

renderer.setClearColor(0xEEEEEE, 1.0); renderer.setSize(window.innerWidth, window.innerHeight); renderer.shadowMap.Enabled = true;

var M = 20; var g = 10; var L = 0.6; var H = 0.75; var tg = 0.75; var Lsh = 0.85; var N = 0; var Nx = 0; var Ny = 0; var T = 0; var delth = 0; var Picture; var Line2; var AH1; var AH2; var AH3; var AH4; var AH5; var AH6; var AH7;

function physics() { D=(Math.sqrt(Lsh*Lsh-L*L))/2; Dpr = 0.3*H; dh = Math.sqrt(D*D-Dpr*Dpr); sinAl = 2*D/Lsh; sinB = dh/D; cosB = Dpr/D; sinFi = 0.8*cosB+0.6*sinB; T = 0.3*M*g/(sinFi*sinAl); Nx = T*sinAl*cosB; Ny = M*g/2 +-T*sinAl*sinB; N=0.5*Math.sqrt(Nx*Nx+Ny*Ny) console.log (T,' ',Nx,' ',Ny); controls.result_Nx = Nx; controls.result_Ny = Ny; controls.result_T = T; delth=dh; }


function rewrite() { M = controls.Mass; L = controls.Length; H = 0.75; tg = 0.75; Lsh = 0.85; physics(); }

function init() {

var axes = new THREE.AxisHelper( 20 ); scene.add(axes); scene.add(camera);

//document.body.appendChild( renderer.domElement );

var polGeometry = new THREE.PlaneGeometry(50,15,1,1); var polMaterial = new THREE.MeshLambertMaterial({color:0xDAA520 }); //0xcccccc var pol = new THREE.Mesh(polGeometry,polMaterial); pol.rotation.x=-0.5*Math.PI; pol.position.x = 0; pol.position.y = 0; pol.position.z = 7.5; pol.receiveshadow = true; scene.add(pol);

//wall1 //var wall1Geometry = new THREE.PlaneGeometry(50,20,1,1) /*var wall1Material = new THREE.MeshBasicMaterial({color:0xFFFACD}) var wall1 = new THREE.Mesh(wall1Geometry,wall1Material); wall1.position.y =10; //scene.add(wall1);*/

//wall var wallG = new THREE.BoxGeometry(50,20,2); var wallM = new THREE.MeshLambertMaterial({color: 0xFFFACD}); wall = new THREE.Mesh(wallG,wallM); wall.castShadow = true; wall.position.z = 0; wall.position.y = 10; scene.add(wall);


var spotLight = new THREE.SpotLight( 0xffffff ); spotLight.position.set( 60, 60, 70 ); spotLight.castShadow = true; scene.add( spotLight );

camera.position.x = -30; camera.position.y = 40; camera.position.z = 30; camera.lookAt(scene.position); document.getElementById("WebGL").appendChild(renderer.domElement);

control = new THREE.OrbitControls(camera,renderer.domElement);

controls = new function() { this.Mass = M; this.Length = L; this.Height = H; this.result_Nx = Nx; this.result_Ny = Ny; this.result_T= T; //this.Height = ambiColor; } var gui = new dat.GUI(); var contr = gui.addFolder('Controls'); contr.add(controls,'Mass',0,50).onChange(rewrite); contr.add(controls,'Length',0,0.71).onChange(rewrite); 

                               var resalt = gui.addFolder('Result');

resalt.add(controls,'result_Nx').listen(); resalt.add(controls,'result_Ny').listen(); resalt.add(controls,'result_T').listen(); //gui.add.onChange()(physics,'Height',0,1);


stats = initStats(); renderScene(); }

window.onload = init(); window.addEventListener('resize',onResize,false);

function ClearScene() { scene.remove(Picture); scene.remove(Line2); scene.remove(AH1); scene.remove(AH2); scene.remove(AH3); scene.remove(AH4); scene.remove(AH5); scene.remove(AH6); scene.remove(AH7); }

function renderScene() { stats.update();

ClearScene();

physics();

var lineGeometry = new THREE.Geometry();//Производная фигура lineGeometry.vertices.push(new THREE.Vector3(-5*L,10,(1+3*H)));//Указываем вектор первой точки lineGeometry.vertices.push(new THREE.Vector3(0, 10*delth+10+4*H, 1));//Указываем вектор второй точки lineGeometry.vertices.push(new THREE.Vector3(5*L,10,(1+3*H))); var lineMaterial = new THREE.LineBasicMaterial({color:0xFFFFFF, linewidth:500}); var line = new THREE.Line(lineGeometry, lineMaterial);//Создаем линию из созданной геометрии scene.add(line); Line2=line;

var pictG = new THREE.BoxGeometry (L*10,H*10,0.5); var texture = THREE.TextureLoader('iskushenie-sviatogo-antoniya.jpg'); //texture.repeat.set( 1, 1 ); var pictM1 = new THREE.MeshLambertMaterial();//( {map: texture} ); //var pictM2 = new THREE.MeshLambertMaterial({color:0xDAA520 }); //var pictMaterials =[]; var pict = new THREE.Mesh(pictG,pictM1); pict.position.x = 0; pict.position.y = 10; pict.position.z = 3.5; pict.rotation.x = Math.atan(0.75); scene.add(pict); Picture = pict;

var dir = new THREE.Vector3( 0, 0, 1 ); var origin = new THREE.Vector3( L*5, 10-H*4, 1.1 ); arrowHelper1 = new THREE.ArrowHelper(dir, origin, Nx/30, 0xFF1493); scene.add( arrowHelper1 ); AH1=arrowHelper1


dir = new THREE.Vector3( 0, 1, 0 ); origin = new THREE.Vector3( L*5, 10-H*4, 1.1 ); arrowHelper2 = new THREE.ArrowHelper(dir, origin, Ny/30, 0xFF8010); scene.add( arrowHelper2 ); AH2=arrowHelper2;


dir = new THREE.Vector3(-5*L, 10*delth+4*H, 1-(1+3*H)).normalize(); origin = new THREE.Vector3(5*L,10,(1+3*H)); arrowHelper3 = new THREE.ArrowHelper(dir, origin, T/30, 0xFF1493, 0.40 , 0.40); scene.add( arrowHelper3 ); AH3=arrowHelper3;

dir = new THREE.Vector3(5*L, 10*delth+4*H, 1-(1+3*H)).normalize(); origin = new THREE.Vector3(-5*L,10,(1+3*H)); arrowHelper6 = new THREE.ArrowHelper(dir, origin, T/30, 0xFF1493, 0.40 , 0.40); scene.add( arrowHelper6 ); AH6=arrowHelper6; console.log(dir);

dir = new THREE.Vector3( 0, 0, 1 ); origin = new THREE.Vector3( -L*5, 10-H*4, 1.1 ); arrowHelper4 = new THREE.ArrowHelper(dir, origin, Nx/30, 0xFF1493); scene.add( arrowHelper4 ); AH4=arrowHelper4;


dir = new THREE.Vector3( 0, 1, 0 ); origin = new THREE.Vector3( -L*5, 10-H*4, 1.1 ); arrowHelper5 = new THREE.ArrowHelper(dir, origin, Ny/30, 0xFF8010); scene.add( arrowHelper5 ); AH5=arrowHelper5;


//step+=controls.bouncingSpeed; requestAnimationFrame(renderScene); renderer.render(scene,camera);

}

function onResize() //moving of camera { camera.aspect = window.innerWidth/window.innerHeight; camera.updateProjectionMatrix(); renderer.setSize(window.innerWidth,window.innerHeight); }

function render() { stats.update(); requestAnimationFrame( render ); renderer.render( scene, camera ); }

function initStats() //window in the left corner { 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); //renderer.shadowMap.Enabled = true; return stats; } render();

function onResize() //moving of camera { camera.aspect = window.innerWidth/window.innerHeight; camera.updateProjectionMatrix(); renderer.setSize(window.innerWidth,window.innerHeight); }


</script> </body>

</html>
Источник — «http://tm.spbstu.ru/?title=Мещерский_Задача_8.40&oldid=46358»