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Boundary polynomial point interpolation mesh-free method and boundary radial point interpolation mesh-free method were presented, based on polynomial basis and radial basis respectively for transient eddy current analysis, and their interpolation shape functions satisfy the Kronecker delta function and the essential boundary conditions can be directly imposed on the boundary nodes. An example on analyzing transient eddy current of a square metal column was set to prove the validity of the proposed methods, and a comparison on accuracy between BPPIM and BRPIM was analyzed as well.

运用多项式点插值法和径向基点插值法构造形函数,推导了适合于工程电磁场瞬态涡流问题的多项式基点插值边界无单元方法和径向基点播值边界无单元方法,这两种方法的空间插值形函数满足Kronecker delta条件,从而强加边界条件可以直接施加在边界点上,以金属长方柱的瞬态涡流分析作为数值算例,证实了两种方法的正确性和有效性,并对两种基类的点插值法进行了精度分析和比较。

The research in this paper has laid a foundation for the object identification.

本文的研究为开拓瞬态电磁场应用的新方法与新技术,特别是色散目标识别新技术,提供了必要的理论基础与依据。

It also make students grasp building method and analyzing method of some important mathematical model (such as wave equation,Laplace equation).

使学生熟悉一些重要的电磁场问题的数学模型(如波动方程、拉氏方程等)的建立过程以及分析方法。

First,the knowledge of mechanics and electromagnetics was applied to build the equilibrium equation of thick-walled cylinders'structures,and a solvable equation was obtained utilizing the Laplace transforms and the Hankel integral transforms.

运用力学和电磁场的知识对厚壁圆筒结构建立平衡方程,并通过 Laplace 和 Hankel 积分变换对物理方程进行变换,得到一个可解的方程形式。

At the same time ,the sample machine's distribution diagram of the magnetic line of force and the sample machine's wave of the flux density in the air gap are given.

通过对同步发电机的电磁场计算结果进行后处理,得出了同步发电机的旋转磁场波形、电压波形以及空载特性曲线。

A FDTD program was written and the electromagnetic fields for various polarized incident beams are calculated and the polarization states of the diffractive waves are extracted. The relation between the polarization state of the diffraction wave and the grating balzed angle and polarization angle for the linearly polarized incident wave is analyzed; In the spectral range of 1530 ~ 1570nm, the polarization dispersion is studied for the linearly and circularly polarized incident beam.

用时域有限差分程序计算出任意偏振方向线偏光经过闪耀光栅衍射后的电磁场分布,提取衍射波的S偏振和P偏振分量,分析它们与光栅闪耀角和入射光波偏振角的关系;分析在1530 -1570nm光谱范围内,入射光波为线偏振波和园偏振波时,衍射光波的偏振色散特性与光栅闪耀角的关系。

An integrated Hamiltonian theory was constituted in Classical Mechanics and applied to studying the form of Lagrange equation in theory of electromagnetic, the Schrodinger equation and the Liouville theorem in statistical Physics.

经典力学利用Hamilton系统建立了一套完整的Hamilton理论,用以研究电磁场理论的拉格朗日方程形式,薛定谔波方程,统计物理学中的Liouville定理等。

When charged particles move in the magnetic field, they will experience an electromagnetic force called Lorentz force which is orthogonal to both the direction of velocity and magnetic field.

当带电的粒子在电磁场中运动时,会感受到电场与磁场的作用力,这个电磁力垂直於粒子的速度以及磁场方向。

The equations of electromagnetic field are invariant with respect to the Lorentz transformation and the mechanical equations are invariant with respect to the classical transformation.

电磁场方程对于洛伦兹转换是不变的,而力学方程对于经典转换是不变的。

Therefore,the Lorentz Transformation is invalid and Einstein's special relativity theory,which is based on the Lorentz Transformation,is questionable.

另一方面,立足于普适的同时性的经典伽利略变换却能赋予电磁场方程和电磁波方程以不变性。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。