查询词典 spherically symmetric

Using the theory, we deal with some solutions about the gravitational field surrounding a static spherically symmetric mass and that surrounding a rotating mass, and the results show that some real physical singularities in their black holes can be eliminated.

理论分析表明，该理论可以消除引力场中的物理奇点，并能用标准量子场论方法使引力场量子化。

得 (1 2r ) A 1 + A2 = 0 由条件得 4π(1 )A1 + 2A2 = P P (1 2) A1 =, A2 = P 2π 2π由及二式的联立求解,得 42 Substitute the obtained A1 and A2 into the forgoing representations, we get (1 +)P rz (1 2)r ur = R2 R + z 2πER (1 +)P z2 ω= 2(1 )+ 2 2πER R P (1 2)R 3r 2 z σr = 3 2 2πR R + z R (1 2)P z R σθ= 2 R R + z 2πR 3Pz3 3Pr z 2 σ z = 5 ,τ zr =τ rz = 2πR 2πR5 43 将得出的A1及A2回代,得(1 +)P rz (1 2)r ur = R2 R + z 2πER (1 +)P z2 ω= 2(1 )+ 2 2πER R P (1 2)R 3r 2 z σr = 3 2 2πR R + z R (1 2)P z R σθ= 2 R R + z 2πR 3Pz3 3Pr z 2 σ z = 5 ,τ zr =τ rz = 2πR 2πR5 44 §8-4 Spherically Symmetric Problem For Space Among spatial problems, if the elasticity body's geometric shape,restraint condition and any external factors are symmetrical in a certain point (any plane which passes this point is all symmetrical one),then all stresses,strains and displacements are symmetrical in this point.

§8-4 空间球对称问题在空间问题中，如果弹性体的几何形状，约束情况以及所受的外来因素，都对称于某一点(通过这一点的任意平面都是对称面)，则所有的应力，形变和位移也对称于这一点。这种问题称为空间球对称问题。

And by using the initial conditions as well as the end conditions, the dynamic problem is then transferred to a second kind Volterra integral equation about the function of the axial strain with respect to time which can also be solved successfully by the interpolation method. For piezoelectric and pyroelectric hollow cylinders, by following the solving procedure for elastic hollow cylinder and by using the electric boundary conditions, the dynamic problems are transferred to two Volterra integral equations about two functions of time, one is axial strain and the other is related to electric displacement, which can also be solved efficiently and quickly by employing interpolation method. The elastodynamic solutions of hollow spheres, which are made of elastic, piezoelectric and pyroelectric materials, respectively, for spherically symmetric problems are also obtained.

对于弹性空心圆柱，通过引入一特定函数将非齐次边界条件化为齐次边界条件，然后利用正交展开技术，导出关于时间函数的方程，再结合初始条件和端部边界条件，将原问题转化为关于一个时间函数的第二类Volterra积分方程，运用插值法可给出此积分方程的解；对于压电和热释电空心圆柱，利用求解弹性空心圆柱相似的方法，再结合电学边界条件，原问题转化为关于两个时间函数（轴向应变和与电位移有关的函数）的第二类Volterra积分方程组，同样可用插值法来构造相应的递推公式高效地求解此积分方程组。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失