面諧函數 的英文怎麼說

中文拼音 [miànxiéhánshǔ]
面諧函數 英文
surface harmonic function
  • 面 : Ⅰ名詞1 （頭的前部; 臉） face 2 （物體的表面） surface; top 3 （外露的一層或正面） outside; the ri...
  • 諧 : Ⅰ形容詞1 （和諧） in harmony; in accord; in tune 2 （詼諧） humorous Ⅱ動詞（商量好; 辦妥） come t...
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
  1. 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。
  2. It also roundly researched the solution of the helmholtz equation in the circumrotating ellipsoidal coordinates, and discussed how to calculate the solution of the electro - magnetic field in the circumrotating ellipsoidal coordinates using special functions, and researched circumrotating ellipsoidal cavity ’ s latent value and quality parameter using arithmetic simulation, finally we compared the ellipsoidal cavity with the spheriform cavity. the main content of this thesis are as following : 1. calculated the distribution of the electro - magnetic field inside the ellipsoidal cavity based on maxwell equations and boundary conditions, and confirmed the syntonic mode inside the ellipsoidal cavity using arithmetic methods

    本文從maxwell方程及其邊界條件求解出橢球腔內的電磁場分佈，較為全面的研究了旋轉橢球坐標系下赫姆霍茲方程的解的問題，討論了用特殊函數來求解旋轉橢球坐標系下電磁場的解，並通過數值模擬研究了旋轉橢球諧振腔的本徵值和品質因數，並和球形諧振腔做了比較，主要內容為: 1 .用maxwell方程及其邊界條件求解出橢球腔內的電磁場分佈，並且分析了橢球腔內的諧振模式。
  3. In the last, the modern control theory and simulink in matlab have been integrated together, and it has been applied in active control of the platform structure elastically supported ; a mechanical model and an equation of motion in state space have been established. based on coc, dynamic response of the platform structure elastically supported has been studied under simple harmonic load ; the influence of different values of weight function to the active control efficiency of the structure has also been discussed

    本文還將現代控制理論與matlab的simulink動態模擬軟體包相結合，將其應用於彈性支承平臺結構的主動控制中；建立了彈性支承平臺結構主動控制理論的力學模型和狀態空間內的運動方程；應用經典線性最優控制演算法對彈性支承平臺結構在簡諧荷載作用下的動力響應進行閉環控制；分別從理論和數值計算兩個方面討論了狀態權函數矩陣q和控制權函數矩陣r的不同取值對控制效果的影響。
  4. At first we should construct a suitable green ' s function, which is an essential solution to displacement field for an elastic half space with an arbitrary - shape - canyon impacted by antiplane harmonic line source loading at horizontal surface

    首先構造了一個適合解答本文問題的green函數，該函數為含有任意形凹陷的彈性半空間在其水平面上任意一點承受時間諧和的反平面線源荷載作用時位移場的解答。
  5. First thing is to use a suitable green " function, which is a essential solution of displacement field for the elastic half space with a half circular lining, which impacted by out - plane harmonic line source loading at horizontal surface

    求解該問題的過程中，首先利用一個適合本問題的green函數，該函數為具有半圓環形襯砌的彈性半空間在其水平表面上任意一點承受時間諧和的出平面線源荷載作用時位移場的解答。
  6. The frequency response functions of relative displacement and absolute acceleration are derived under acting of harmonic ground excitation

    推導了地面簡諧運動作用下的加速度和位移的頻率響應函數。
  7. Using the displacement functions and the technique of double fourier transform, the governing differential equations for transversely isotropic saturated poroelastic media are easily solved and, the fourier transformed stress and displacement solutions coorespondingly are obtained. then, under the boundary conditions, the analytical solutions for half - space are presented

    藉助位移函數及雙重fourier變換，研究了直角坐標系下橫觀各向同性飽和土的動力響應問題，得到了飽和半空間體在任意分佈的表面諧振荷載作用下穩態響應的一般解。
  8. The works in detail are as follows : 1. base on the essential solution for a complete elastic half space impacted by antiplane line source loading at horizontal surface, the essential solution of displacement field for an elastic half space with an arbitrary - shape - canyon impacted by antiplane harmonic line source loading at horizontal surface is constructed by using the method of complex function and conformal mapping

    從完整的彈性半空間表面承受線源荷載作用問題的基本解出發，用復變函數的保角映射方法獲得含有任意形凹陷的彈性半空間在其水平面上任意一點承受時間諧和的反平面線源荷載作用時位移場的解答，即本文的green函數。
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