vector potential造句
造句與例句
手機(jī)版
- Robot soccer path planning based on vector potential field
基于矢量勢(shì)場(chǎng)法的機(jī)器人足球路徑規(guī)劃 - 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(guò)引入矢量磁位a并利用麥克斯韋方程組推出了以矢量磁位a為求解對(duì)象的邊值問(wèn)題。 - 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
最后由矢量磁位得到帶有限長(zhǎng)磁芯的放置式通電圓柱線圈的阻抗解析表達(dá)式。 - 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(dāng)磁芯高度超過(guò)某一值時(shí)，線圈阻抗趨于穩(wěn)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
然后，應(yīng)用疊加原理，并對(duì)圓環(huán)線圈進(jìn)行積分，求得各場(chǎng)區(qū)通電圓柱線圈的矢量磁位表達(dá)式。 - Based on the deduced vector potentials , the expressions of the electric fields are derived . also the numerical evaluation method of sommerfeld integrals appeared in the expressions is discussed
接著推導(dǎo)出半空間界面附近電偶極子的電場(chǎng)強(qiáng)度的表達(dá)式，并討論表達(dá)式中索末菲積分的數(shù)值求解方法。 - With the study of boundary condition of vector potentials and the application of image method and sommerfeld integrals , this thesis deduces the vector potentials of vertical and horizontal dipoles near an interface ( both above and below the interface )
本文通過(guò)磁矢位邊界條件的研究，應(yīng)用鏡象法和索末菲積分，推導(dǎo)出半空間界面附近(包括上、下半空間中)的垂直電偶極子和水平電偶極子的磁矢位。 - 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
本文以矢量磁位和回路電流為求解變量，把電機(jī)的電磁場(chǎng)方程與反映繞組聯(lián)接情況的電路方程聯(lián)立起來(lái)同時(shí)求解，提出了同步發(fā)電機(jī)定子繞組內(nèi)部故障的瞬態(tài)電磁場(chǎng)與多回路耦合的數(shù)學(xué)模型。 - 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(guò)求解該邊值問(wèn)題得到了相應(yīng)的矢量磁位a的解析表達(dá)式，然后利用矢量磁位a和磁感應(yīng)強(qiáng)度召的關(guān)系求得了磁感應(yīng)強(qiáng)度b的解析表達(dá)式。最后為了更直觀地描述磁場(chǎng)的分布給出了相應(yīng)的磁力線方程。 - 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(dǎo)出了通電空心圓柱線圈電感的計(jì)算表達(dá)式，給出了求解計(jì)算式中函數(shù)t的計(jì)算方法，以方便精度要求不高時(shí)的電感計(jì)算。 - It's difficult to see vector potential in a sentence. 用vector potential造句挺難的
- 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(fā)展，以矢量磁位a為求解變量時(shí)規(guī)范問(wèn)題成為需要解決的一個(gè)問(wèn)題。棱單元法中常采用樹(shù)規(guī)范( tree - gauge )來(lái)保證a的唯一性。 - 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(fù)矢量磁位計(jì)算電磁場(chǎng)、渦流場(chǎng)的方法以及溫度場(chǎng)求解的數(shù)學(xué)模型，簡(jiǎn)述了ansys軟件中的電磁場(chǎng)、溫度場(chǎng)以及耦合場(chǎng)分析。 - 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(duì)渦流無(wú)損檢測(cè)和地球物理勘探領(lǐng)域用到的球?qū)w中時(shí)諧電流元的電磁問(wèn)題做了研究，在磁準(zhǔn)靜態(tài)近似下，求解了修正磁矢量位的邊值問(wèn)題，獲得了問(wèn)題的解析解，并利用通用有限元分析軟件做了數(shù)值驗(yàn)證。 - 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(chǎng)矢量位有限元法為基礎(chǔ)對(duì)二維軸對(duì)稱場(chǎng)的磁場(chǎng)強(qiáng)度、渦流密度進(jìn)行了計(jì)算求解，采用三角形單元和六面體單元建立了渦流場(chǎng)數(shù)學(xué)模型，研究了電源頻率對(duì)渦流密度、透入深度及集膚效應(yīng)等場(chǎng)量的作用影響。 - 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(guò)程中，假定放置式圓柱線圈是由無(wú)窮多個(gè)對(duì)稱圓環(huán)線圈密饒而成，首先求解含有有限長(zhǎng)磁芯的通電對(duì)稱圓環(huán)線圈的電磁場(chǎng)：以有限長(zhǎng)圓柱磁芯的側(cè)面和圓環(huán)線圈所在圓柱面為分界面將場(chǎng)域劃分為三個(gè)小區(qū)域，由于場(chǎng)源放置在內(nèi)邊界面上，使得關(guān)于矢量磁位的非齊次約束方程轉(zhuǎn)化成齊次亥姆霍茲方程，利用分離變量法求解，根據(jù)分界面鄭州大學(xué)碩十研究生畢業(yè)論文摘要條件以及無(wú)限遠(yuǎn)條件確定待定常數(shù)，從而得到各場(chǎng)區(qū)矢量磁位的表達(dá)式。 - 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(guó)內(nèi)外對(duì)向量磁位( ? ) 、標(biāo)量電位、標(biāo)量磁位的研究現(xiàn)狀及存在的問(wèn)題，在此基礎(chǔ)上，確定用向量磁位( ? )來(lái)計(jì)算永磁操動(dòng)機(jī)構(gòu)的物理模型，并證明在二維非線性情況下，庫(kù)侖規(guī)范自然滿足。 - 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(shù)間的轉(zhuǎn)化關(guān)系和互易定理推導(dǎo)得到了無(wú)限大導(dǎo)體空間中球坐標(biāo)下時(shí)諧電流元電磁場(chǎng)的二階矢量位形式：然后利用疊加原理，選擇合適坐標(biāo)系，求解了導(dǎo)體球中時(shí)諧電流元的修正磁矢量位邊值問(wèn)題，得到了問(wèn)題的解析解；最后依據(jù)不同坐標(biāo)系下電磁場(chǎng)解的轉(zhuǎn)化原理，借助勒讓德多項(xiàng)式和n次1階球諧函數(shù)的加法公式，將坐標(biāo)系特殊安放時(shí)的電磁場(chǎng)解析解變換到坐標(biāo)系一般安放時(shí)的解析解，給出了球內(nèi)電場(chǎng)和球外磁場(chǎng)的并矢格林函數(shù)。 - 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(biāo)旋轉(zhuǎn)后球坐標(biāo)變量間的關(guān)系和連帶勒讓德多項(xiàng)式的性質(zhì)推導(dǎo)得到了n次1階球諧函數(shù)的加法公式；以遞進(jìn)的方式說(shuō)明磁矢量位、修正磁矢量位與二階矢量位的關(guān)系，寫(xiě)出了引入二階矢量位的過(guò)程；以時(shí)諧場(chǎng)矢量邊值問(wèn)題為例，闡明了不同坐標(biāo)系下電磁場(chǎng)解的相互轉(zhuǎn)化原理，給出了一個(gè)解析解的轉(zhuǎn)化例子；在球坐標(biāo)下，引入了較球矢量波函數(shù)更普遍的兩類矢量函數(shù)，給出了其在球面上的正交關(guān)系。 - 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(guò)對(duì)一個(gè)空心金屬圓筒結(jié)構(gòu)的電磁系統(tǒng)進(jìn)行分析，以電磁場(chǎng)矢量位有限元法為基礎(chǔ)對(duì)磁場(chǎng)強(qiáng)度、渦流密度進(jìn)行了計(jì)算求解，采用三角形單元建立了渦流場(chǎng)數(shù)學(xué)模型，研究了電源頻率對(duì)渦流密度、透入深度及集膚效應(yīng)等場(chǎng)量的作用影響。 - 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(kù)侖勢(shì)源于單膠子直接交換，而線性禁閉源于標(biāo)量和矢量的混合，同時(shí)考慮在短程區(qū)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(gòu)造了靜態(tài)夸克-反夸克勢(shì)到v ~ 2 c ~ 2級(jí)次的完全相對(duì)論修正，并擬合計(jì)算了重介子偶素的能譜，討論了相對(duì)論修正對(duì)重介子偶素能級(jí)分裂的作用。
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