共线点电荷系的电力线方程

本文通过高斯定理解出的电力线方程，应用数学描述的方法，来表征共线点电荷系的电力线。文中对方程进行了验证，并列举了常见共线点电荷系的电力线方程。     

First passage probability of structures under non-Gaussian stochastic behavior

An analytical moment-based method was proposed for calculating first passage probability of structures under non-Ganssian stochastic behaviour. In the method, the third-moment standardization that constants can be obtained from first three-order response moments was used to map a non-Ganssian structural response into a standard Gaussian process; then the mean up-crossing rates, the mean clump size and the initial passage probability of some critical barrier level by the original structural response were estimated. Finally, the formula for calculating first passage probability was established on the assumption that the corrected up-crossing rates are independent. By a nonlinear single-degree-of-freedom system excited by a stationary Gaussian load,it is demonstrated how the procedure can be used for the type of structures considered. Further, comparisons between the results from the present procedure and those from Monte-Carlo simulation are performed.     

基于高斯定理的共焦双曲柱面极板间静电场问题的研究

在广义正交曲线坐标系的形式即共焦双曲柱坐标系下,运用高斯定理来计算出共焦双曲柱面极板间的电场强度及其电势和电容等,图文并茂,方法直观.选择合适的广义正交曲线坐标系的具体坐标形式,通过电势梯度公式和静电场高斯定理以及高等数学知识,可以精确分析研究截面为特殊形状的带电体(面)产生的静电场问题,为处理该类问题提供一种新的研究...     

高斯面与面电荷重合时的高斯定理

把静电场的高斯定理扩展到高斯面与面电荷重合或部分重合的情况，作为应用，计算了电球面上的场强分布。     

匀速运动电荷电场中的高斯定理

利用电荷不变性洛仑兹变换得出匀速运动电荷的场强空间分布，验证高斯定理在这样的电场中仍然成立，从而得出高斯定理在运动电荷场中仍然成立的结论。     

高斯定理的数学证明

根据数学中的高斯公式给出了静电场、涡旋电场和静磁场高斯定理的严格证明，得到了力线数密度与电场强度大小以及磁感应强度大小的定量关系，指出了用力线法证明高斯定理的方法是不合理的．     

共焦椭圆柱形电容器的场强研究

运用高斯定理,计算出横截面为共焦椭圆柱形电容器的电场强度.