vector potential 中文意思是什麼
vector potential
解釋
矢量勢-
Adopting the assummation that the quark interaction is the sum of the usual one - gluon direct exchange and the mixture of linear scalar and vector potentials, we structure the relativistic corrections of order v2 / c2to the cornell potential, including the annihilation potential for the quark and antiquark of the same favors which plays the same role with the one - gluon direct exchange at short distances. the effects of the relativistic corrections on the hyperfine splittings of quarkonium states are discussed, and a good fit to the available experimental data is obtained on heavy quarkonium mass spectra
采納庫侖勢源於單膠子直接交換，而線性禁閉源於標量和矢量的混合，同時考慮在短程區域與單膠子直接交換起同樣作用的同味正反夸克的湮滅，構造了靜態夸克-反夸克勢到v ~ 2 c ~ 2級次的完全相對論修正，並擬合計算了重介子偶素的能譜，討論了相對論修正對重介子偶素能級分裂的作用。 -
Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located
首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式：然後利用疊加原理，選擇合適坐標系，求解了導體球中時諧電流元的修正磁矢量位邊值問題，得到了問題的解析解；最後依據不同坐標系下電磁場解的轉化原理，藉助勒讓德多項式和n次1階球諧函數的加法公式，將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解，給出了球內電場和球外磁場的並矢格林函數。 -
The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given
利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式；以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系，寫出了引入二階矢量位的過程；以時諧場矢量邊值問題為例，闡明了不同坐標系下電磁場解的相互轉化原理，給出了一個解析解的轉化例子；在球坐標下，引入了較球矢量波函數更普遍的兩類矢量函數，給出了其在球面上的正交關系。 -
Finally, the impedance analytical expression for the solenoid coil with a finite - length ferrite core carrying time - harmonic current is obtained through the magnetic vector potential
最後由矢量磁位得到帶有限長磁芯的放置式通電圓柱線圈的阻抗解析表達式。 -
Secondly, this dissertation analyses the action characters of soccer robot, designs kinds of actions in allusion to switchover of attack and defend, puts forward theory of action selection and rules of action selection in order to realize part cooperation which combines court subarea and switchover of attack and defend when soccer robot is under special state thirdly, after considering the characters of obstacles in the robot soccer, we have founded the collision module, to the current questions of obstacle - escaping arithmetic, we put forward the new obstacle - escaping strategy based on the speed vector information which is able to dope out the potential obstacles in the moving path and count out the suitable velocity to escape obstacles by the aid of the geometry transform of obstacle velocity vector the grid implementation arithmetic of path - searching tree is set forth for the convenience the result of simulating competition showed that this way is suitable to the mobile obstacle escaping
（ 2 ）分析了足球機器人動作的特點，針對機器人足球比賽的攻防狀態轉變，進行了各類動作設計；為了使足球機器人在特定狀態下，實現局部的配合，將攻防狀態的變化與球場分區相結合，提出了足球機器人的動作選擇機理和動作選擇的規則。 （ 3 ）分析了機器人足球比賽中障礙物的特點，建立了足球機器人碰撞模型。針對目前機器人足球比賽中避障規劃演算法的不足，提出了基於障礙物的速度矢量信廣東工業大學工學博上學應論文息制定的足球機器人避障策略。 -
Using the vector potential, the expression for calculating inductance of air - cored solenoid coil is derived in the dissertation. and the calculating methods of function t in the calculating expression are given for the convenience of the calculation of inductance while the precision is not strictly requested
利用矢量磁位a直接推導出了通電空心圓柱線圈電感的計算表達式，給出了求解計算式中函數t的計算方法，以方便精度要求不高時的電感計算。 -
Through the analyzes of electromagnetic system of a axial symmetry by the method of electromagnetic vector potential, an eddy current field math model is build by triangle cell, this article has researched the effect of power frequency to eddy current density, penetration depth and the skin effect
本文以電磁場矢量位有限元法為基礎對二維軸對稱場的磁場強度、渦流密度進行了計算求解，採用三角形單元和六面體單元建立了渦流場數學模型，研究了電源頻率對渦流密度、透入深度及集膚效應等場量的作用影響。 -
In this thesis, studies are made on the problem of time - harmonic electromagnetic fields excited by an arbitrary current dipole in spherical conductor. the problem is presented in eddy - current nondestructive test and geophysical prospecting. under the condition of magnetic quasi - static state, the boundary - value problem about modified magnetic vector potential is solved and the analytical solution is obtained
本論文針對渦流無損檢測和地球物理勘探領域用到的球導體中時諧電流元的電磁問題做了研究，在磁準靜態近似下，求解了修正磁矢量位的邊值問題，獲得了問題的解析解，並利用通用有限元分析軟體做了數值驗證。 -
In chapter 3, the mathematical modal of electromagnetic and temperature fields is presented by a complex magnetic vector potential, which is also applied to solve eddy current field in ansys software. then, the electromagnetic field analysis, thermal analysis and coupled - field analysis in ansys are introduced
第三章：介紹了ansys中引入復矢量磁位計算電磁場、渦流場的方法以及溫度場求解的數學模型，簡述了ansys軟體中的電磁場、溫度場以及耦合場分析。 -
Through the analyses of electromagnetic system of configuration of hollow metal cylinder by electromagnetic vector potential, an eddy current field math model is built by triangle cell, this article has researched power frequency to eddy current density, permeation depth and the effect of skin effect
文中通過對一個空心金屬圓筒結構的電磁系統進行分析，以電磁場矢量位有限元法為基礎對磁場強度、渦流密度進行了計算求解，採用三角形單元建立了渦流場數學模型，研究了電源頻率對渦流密度、透入深度及集膚效應等場量的作用影響。 -
Regarding the discrete magnetic vector potential and loop currents as the state variables, and combining the fem with the multi - loop method, a mathematical model of the synchronous machine with internal faults is set up in this paper
本文以矢量磁位和迴路電流為求解變量，把電機的電磁場方程與反映繞組聯接情況的電路方程聯立起來同時求解，提出了同步發電機定子繞組內部故障的瞬態電磁場與多迴路耦合的數學模型。 -
Robot soccer path planning based on vector potential field
基於矢量勢場法的機器人足球路徑規劃 -
Secondly, some recently research results and some unsolved problems about the magnetic vector potential a, electric scalar potential and magnetic scalar potential of the transient eddy current formulation are deeply analyzed in the paper and the magnetic vector potential a is chosen to calculate the specified physical model discussed in this paper
其次，概括地分析了國內外對向量磁位（ ? ） 、標量電位、標量磁位的研究現狀及存在的問題，在此基礎上，確定用向量磁位（ ? ）來計算永磁操動機構的物理模型，並證明在二維非線性情況下，庫侖規范自然滿足。 -
Using maxwell electromagnetic equations, by solving the boundary - value problem of magnetic vector potential, analytical expression to impedance increment of the solenoid coil in eddy current testing of the medium in half space was given. theoretical result was modeled in computer. results showed the validity and feasibility of the model
利用maxwell電磁方程組，通過求解矢量磁位的邊值問題得到了矢量磁位的解析解，進而導出了媒質上方放置式空心線圈的阻抗增量解析式，並對阻抗變化表達式進行單層板厚度和三層板間隙的檢測模型進行了模擬。 -
The solving steps are as follows : the field is divided into three regions by the cylindrical surface of the finite - length cylinder and the location of the delta - coils. because " the surface current source is placed at the interface, the non - homogenous restricted equation on the magnetic vector potential is transformed into the homogenous helmholtz equation. by using the method of separation of variables to solve equation and according to the interface conditions and the condition at infinity to determine the unknown constants, the expressions for the magnetic vector potential of the three regions are solved out
在求解過程中，假定放置式圓柱線圈是由無窮多個對稱圓環線圈密饒而成，首先求解含有有限長磁芯的通電對稱圓環線圈的電磁場：以有限長圓柱磁芯的側面和圓環線圈所在圓柱面為分界面將場域劃分為三個小區域，由於場源放置在內邊界面上，使得關于矢量磁位的非齊次約束方程轉化成齊次亥姆霍茲方程，利用分離變量法求解，根據分界面鄭州大學碩十研究生畢業論文摘要條件以及無限遠條件確定待定常數，從而得到各場區矢量磁位的表達式。 -
The boundary value problem on the magnetic vector potential a is derived by introducing the magnetic vector potential a and using maxwell ' s equations
通過引入矢量磁位a並利用麥克斯韋方程組推出了以矢量磁位a為求解對象的邊值問題。 -
The main work is as follows : for the magnetic vector potential, the principle of calculus of variations is applied to convert the elliptical boundary value problem into
隨著磁芯高度和半徑的增大，線圈阻抗增量增大，當磁芯高度超過某一值時，線圈阻抗趨于穩定。 -
Then, using the principle of superposition and integrating the delta - coils, we can obtain the expressions for the magnetic vector potential caused by the cylindrical coils carrying current
然後，應用疊加原理，並對圓環線圈進行積分，求得各場區通電圓柱線圈的矢量磁位表達式。 -
And the expression of magnetic flux density b is got by making use of the relation of magnetic vector potential a and magnetic flux density b. finally, the equation of the magnetic flux lines is given by way of describing the distributing of the magnetic field
通過求解該邊值問題得到了相應的矢量磁位a的解析表達式，然後利用矢量磁位a和磁感應強度召的關系求得了磁感應強度b的解析表達式。最後為了更直觀地描述磁場的分佈給出了相應的磁力線方程。 -
With the development of edge finite element, the gauge problem is necessary to be solved when magnetic vector potential a. is used. tree - gauge is used in the edge element to assure the unity a. but tree - gauge will lead that the equation is not convergence, and that precision of result turn bad
隨著棱邊有限元（ edgefiniteelement ）法的發展，以矢量磁位a為求解變量時規范問題成為需要解決的一個問題。棱單元法中常採用樹規范（ tree - gauge ）來保證a的唯一性。
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