椭圆抛物面是指在同一顶点互相垂直的2个平面的交线上的二条抛物线,其中一条抛物线一边顶点在别的抛物线上,一边平面平行地移动时形成的曲面。
探照灯的反射镜和卫星电视天线常做成旋转抛物面的形状;c^2=-1 (5)椭圆抛物面(Elliptic paraboloid) x^2/,后者又称马鞍面),压扁了就得到一般的形状;a^2-y^2/。
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A quartic equation with one unknown is obtained by substituting the parameter equation of the elliptic paraboloid into the equation of the sphere. According to the distribution of the roots,the topological structure of the intersection curves can be determined.
其次以平行圆族为基础进行坐标变换,在新坐标系下将椭圆抛物面的一个参数方程代入球面的方程中,得到一个一元四次方程,由方程根的分布情况确定交线的拓扑结构,在每一个有交子区间上,给出所有交曲线段的参数方程。
参考来源 - 椭圆抛物面/球面求交算法·2,447,543篇论文数据,部分数据来源于NoteExpress
本文用椭圆抛物面作为混凝土三向应力时的强度破坏面。
An elliptic paraboloid is proposed as the failure surface for concrete under multiaxial Stresses.
结果表明:浸润面为一椭圆抛物面,所得结论与实验结果相符。
The result shows that the infiltrated surface is an elliptic-parabolic one, and the conclusion accords with the results of experiment.
本文根据已论证过的混凝土破坏面,即椭圆抛物面的数学模型,报导出一个用以计算混凝土纯剪强度的简单公式。
A simple formula for calculating pure shear strength of concrete is derived on the basis of the verified mathematical model of concrete failure surface, the elliptic paraboloid.
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