如何找到2个碰撞刚体的速度?

时间:2015-08-07 16:38:28

标签: physics rigid-bodies elasticity

所以我跳进了物理引擎。现在的对撞机是球体和飞机。我已经发现碰撞的深度和接触点处的法线很容易,但对于我的生活,我无法绕过能量分布。

身体包含一个碰撞器,一个质量,一个力矢量(速度*质量),一个弹性值(0没有反弹,一个完全反弹)和一个摩擦值(0滑的香肠,1个动量吸血鬼)我用Google搜索地狱和背部,一切都提出了1D和2D简化,但我一直无法适应3D。

修改:我尝试了以下页面: http://www.plasmaphysics.org.uk/collision3d.htm。它似乎很简单,但出于某种原因,我仍然没有弹性,弹性为1。

我的实施如下:

var v = new vec3(
    (body.force.x + other.force.x) / totalMass,
    (body.force.y + other.force.y) / totalMass,
    (body.force.z + other.force.z) / totalMass
    );
body.force.set(
    ((velA.x - v.x) * elasticity + v.x) * body.mass,
    ((velA.y - v.y) * elasticity + v.y) * body.mass,
    ((velA.z - v.z) * elasticity + v.z) * body.mass
    );
other.force.set(
    ((velB.x - v.x) * elasticity + v.x) * other.mass,
    ((velB.y - v.y) * elasticity + v.y) * other.mass,
    ((velB.z - v.z) * elasticity + v.z) * other.mass
    );

对于弹性,我试过将两个身体的弹性倍增并得到它们的平均值;没有变化。

1 个答案:

答案 0 :(得分:0)

所以夜晚睡觉,从N +物理解释页面获得一些思考和大力帮助我已经将某些东西混合在一起,虽然不一定是物理上准确的,但为了调试,它在很多变量之间分开,但我尽我所能评论。

    //we have detected a collision between A) body B) other
        //note: for the sake of making things easier to think about,
        //      anything moving into or along the collision normal is
        //      referred to as vertical, anything perpendicular to
        //      the collision normal, is referred to as horizontal.
    //minimum translation required to resolve the collision
var mta = collision.normal.clone().multiplyScalar(collision.length);
    //the total mass involved in the collision
var totalMass = body.mass + other.mass;
    //the ratio of the mass belonging to body
var ratioA = body.mass / totalMass;
    //the ratio of the mass belonging to other
var ratioB = other.mass / totalMass;
    //the average elasticity of the collision
var elasticity = (body.elasticity + other.elasticity) / 2.0;
    //the friction of the collision
        //note: average works, but low values have strong effects,
        //      it is easier to work with if they are multiplied
var friction = body.friction * other.friction;
    //the vertical force of body
var vertA = -body.force.clone().normalize().dot(collision.normal);
    //the horizontal force of body
var horrA = 1.0 - Math.abs(vertA);
    //the vertical force of other
var vertB = -other.force.clone().normalize().dot(collision.normal);
    //the horizontal force of other
var horrB = 1.0 - Math.abs(vertB);
    //the amount of force applied on body
var forceA = body.force.length();
    //the amount of force applied on other
var forceB = other.force.length();
    //the amount of vertical force applied on body
var vForceA = forceA * vertA;
    //the amount of vertical force applied on other
var vForceB = forceB * vertB;
    //the amount of horizontal force applied on body
var hForceA = forceA * horrA;
    //the amount of horizontal force applied on other
var hForceB = forceB * horrB;
    //the total vertical force of the collision
var verticalForce = (vForceA + vForceB) * elasticity;
    //remove all vertical force from body
    //resulting in a horizontal force vector
body.force.add(collision.normal.clone().multiplyScalar(forceA * vertA));
    //apply friction to the horizontal force vector of body
body.force.add(body.force.clone().normalize().multiplyScalar(-friction * hForceA * body.imass));
    //apply the new vertical force to body
body.force.add(collision.normal.clone().multiplyScalar(verticalForce * ratioA));
    //remove all vertical force from other
    //resulting in a horizontal force vector
other.force.add(collision.normal.clone().multiplyScalar(-forceB * vertB));
    //apply friction to the horizontal force vector of other
other.force.add(other.force.clone().normalize().multiplyScalar(-friction * hForceB * other.imass));
    //apply the new vertical force to other
other.force.add(collision.normal.clone().multiplyScalar(-verticalForce * ratioB));
    //resolve collision taking into consideration mass
body.transform.position.sub(mta.clone().multiplyScalar(ratioA));
other.transform.position.add(mta.clone().multiplyScalar(ratioB));