analytical solution 中文意思是什麼

analytical solution 解釋
分析解
  • solution : n. 1. 溶解；溶液，溶體，溶劑。2. （補輪胎用的）橡膠水；〈美國〉藥水。3. 解決，解答 （of; for; to）; 解釋；（數學等的）解法，解式。4. 免除，解除。5. 【醫學】消散，消退。
  1. 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。
  2. 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。
  3. Analytical solution of smoluchowski equation in harmonic oscillator form

    方程的諧振子解析解
  4. Analytical solution of the residual stress when the inflexion of the retaining ring is on the top

    兩炮喇叭口爆炸成形強化護環拐點在上端面時殘余應力的解析解
  5. Analytical solution to progressive destructive strength of natural soils in consideration of multiple factors

    多因素作用下天然土體漸進破損強度解析
  6. Analytical solution of the bending problem of piezoelectricity cantilever beam under uniformly distributed loading

    均勻分佈荷載作用下壓電懸臂梁彎曲問題解析解
  7. The beam - on - dynamic - winkler - foundation ( bdwf ) model was utilized to determine the lateral dynamic response of a pile with finite length in a viscoelastic soil. an analytical solution was obtained in the time domain for the vibration of a pile under a laterally cyclic force applied at the pile head. based on the solution, the transient response of the pile loaded by semi - sine force was acquired with superposition principle

    首先，基於動力winkler模型（ bdwf ）對粘彈性地基中有限長樁的水平動力響應問題進行求解，得到了單樁在樁頂受水平簡諧荷載作用下的時域解析解，並在此基礎上通過疊加原理得到了半正弦激振條件下的瞬態解析解。
  8. Linear induction motor is an important kind of machines which have some merits such as simple structure, low cost, durability, convenience for maintenance etc. the subject of this thesis is to study a big circular ring linear induction motor, and the major works in this thesis are summarized as follows : ( 1 ) considering the effects of the finite length of primary core, one - dimension analytical solution for the air gap field is cited in this paper. based on it, the single layer winding magnetic field is studied. considering whole - pitched and short - pitched winding configuration with odd poles and half - fulled slots in both ends, the double - layer winding magnetic field is analyzed, respectively

    本文對大圓環直線感應電機進行了深入細致研究，內容包括： （ 1 ）本文採用有限長行波面電流作用於有限長鐵芯上的模型，引用了氣隙磁場一維解，研究了單層繞組磁場，奇數極半填槽雙層繞組在採用整距和短距時磁場的分析、比較，簡單介紹了二維解； （ 2 ）用有限元軟體ansoft對大圓環直線感應電機空載氣隙磁場進行了靜態分析，並分析了結果； （ 3 ）用軟體進行了額定電壓下的瞬態分析，得到了轉矩，位移，轉速隨時間變化曲線圖，利用單極性霍爾元件測定轉速並與軟體計算結果進行了比較，採用等效電路法計算了堵轉時的最大電磁力並做實驗進行了驗證，由實驗測得了三相電流波形，並與計算結果進行了比較，對其不對稱性進行了定性分析。
  9. Analytical solution of the basic equations set of atmospheric motion

    大氣運動基本方程組的解析解
  10. The main results and academic contributions of the dissertation can be summarized as following : 1 ) for the difficulty to obtain the accurate analytical solution of the stress constraints around 3d cracks, detailed 3d fe analyses have been conducted to study the out - of - plane constraint factor tz around a straight through - thickness crack, a quarter - elliptical corner crack and a semi - elliptical crack embedded in an isotropic elastic plate subjected to uniform remote tension loading. the distributions of tz are minutely studied in the forward section of the cracks. strong 3d zones ( tz > 0 ) along the crack front were investigated despite the far field stress - free boundary conditions

    全文主要研究內容和學術貢獻如下: 1 .針對一般三維裂紋端部場應力約束準確解析的困難，對均勻拉伸載荷作用下各向同性彈性板中穿透厚度中心直裂紋、半橢圓表面裂紋和1 / 4橢圓角裂紋進行了大量詳細的全場應力三維有限元分析，首次全面分析了非穿透裂紋端部場三維影響區范圍，給出了不同形狀三維裂紋前沿離面應力約束因子tz的數值解，並結合k場平面解給出了非穿透裂紋端部應力場k - tz雙參數描述。
  11. Monin - obukhov length ; surface layer ; analytical solution ; one - dimension mapping ; floquet multiplier

    Monin - obukhov長度近地面層解析解一維映射floquet乘子
  12. Analytical solution for the heat conduction problem in a compound sphere and its applications to an incapsulated pcm

    復合球體非穩態導熱的理論解及實例分析
  13. Analytical solution for periodic motion of x3 oscillator

    3振蕩器周期運動的解析解
  14. Improved coupling method of analytical solution for drainage hole and fem

    改進的排水孔解析解和有限元耦合計算方法
  15. Small deformation analytical solution of spatial curved - rods in natural coordinate system

    空間曲桿小變形問題自然標架的矩陣分析解
  16. Analytical solution of the nearest surface spacing between neighboring binder grains in fresh cement paste

    新拌水泥漿體中鄰近膠凝材料粒子表面最近間距分佈的解析解
  17. Abstract : in this article, starting from solute s transport a nd diffusion equati on, aiming at the saturation state of liquid in homogeneous soil of impermeable stratum and on the condition that lots of saturated solute ( e. g. nutriment ) on t op of the soil maintain diffusion, a strict mathematical deduction is carried ou t, and the analytical solution of solute s concentration distribution in homogeneous s o il is given

    文摘:從溶質輸移擴散方程出發，針對強透水層上均質土壤的液體飽和狀態，在頂層含有大量飽和溶質（如養分等）維持著滲透擴散的條件下，進行嚴密的數學推證，給出均質土壤中溶質濃度分佈的解析解。
  18. Analytical solution for model of pile hammer impact

    打樁錘擊模型的解析演算法
  19. An analytical solution of settlement - time relation on single pile under static load

    靜荷載下單樁沉降與時間關系的解析解
  20. The results of numerical simulations and analytical solution show good accordance, except in the region near the fiber ends, where the shear - lag approach causes considerable discrepancy. next, to overcome the unrealistic assumption of perfect bonding, augmented - lagrange contact algorithm, element " birth - death " and fem are combined in the study of the partial debonding between fiber and matrix under pull out forces

    然而完全粘結的假設過于理想，與實際應用相差較大，因此，本論文將有限元法，接觸演算法和單元生死法結合起來，研究較大抽拔力作用下，纖維與基體之間發生的逐步脫粘的過程，所得到的抽拔力的變化結果，與試驗數據比較，較為一致。
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