hankel 中文意思是什麼

hankel 解釋
漢克爾
  1. Supposed to be axial symmetry, the problem is put into the cylindrical coordinate, and through the laplace - hankel transformation, the equations are turn into differentia equations of constant coefficient. in the analyzing progress, dynamic transfer matrix is used t

    本文利用matlab中fzzzy具箱編程，通過有限的實驗數據和輸入專家知識對該系統進行訓練，可以解訣砂土液化的預測難題，算例的檢測結果表明其效果較好。
  2. Based on biot ' s theory, the basic equations and solution conditions were established for the consolidation problem of the composite foundation with single column considering soil - column interactions when load was applied on the top of column only or applied on the top of both column and soil, and the solution for deformations of soil and column were obtained in the forms of laplace and hankel transformation

    基於biot理論，分別對在樁頂受外荷載作用和樁土共同受外荷載作用的情況下考慮樁土相互作用的單樁復合地基固結問題建立了基本方程和求解條件，並在laplace變換域和hankel變換域內得到了土體和樁體的變形解答。
  3. The numerical calculation simulation shows that the fgb will change its shape upon propagation. ( 5 ) using the quasi - discrete hankel transform ( qdht ), the fast calculation code simulating the propagation of cylindrical symmetry laser beams passing through high power laser amplifier system is built up for the first time. the code is applied to

    （ 3 ）明準訴散漢克爾變換編制寧旋轉對稱光束在高功率激光放大系統中傳輸的快冰汁彝摸擬程序，利用該程序對超高斯光束在多麟光放大系統中的傳輸和神光紅栩櫥化光傳。
  4. A grease chemical product co. invested by german hankel company is set up in no. 2 jinshanwei industrial zone, which takes the 4th place in the world detergent production

    由洗滌、清洗劑生產排名世界第四位的德國漢高公司投資創辦的油脂化學品有限公司落戶于金山衛第二工業區。
  5. The main work includes : for the torsional vibrations of a rigid disk on saturated media, first, the dynamic governing equations are solved by the use of hankel transform and the general solutions in the hankel transform fields are formulated. then, considering the mixed boundary - value condition, the dual integral equations of the torsional vibrations of a rigid disk on saturated grounds are obtained, which can be reduced to the fredholm integral equations of the second kind and solved by numerical procedures. consequently, the dynamic compliance coefficient curves and the torsional angle amplitude curves versus the dimensionless frequency are presented and contrasted to that of the elastic one

    在前人研究的基礎上，本文基於陳龍珠等曾提出的一組實用飽和土波動方程，用解析或半解析的方法首次較系統而深入地研究了飽和半空間地基與基礎的扭轉振動問題，主要工作有：對于飽和地基上剛性圓板的扭轉振動，作者首先採用hankel變換求解了動力控制方程，得到了該控制方程在hankel變換域內的通解，然後由混合邊值條件建立了飽和地基上剛性基礎扭轉振動時的對偶積分方程，並將其化為易於數值求解的第二類fredholm積分方程，用數值方法計算了基礎的動柔度和扭轉角幅值與振動頻率的關系曲線，並將其與單相彈性介質情況進行了對比分析。
  6. In 7, we first give the definition of hankel matrices, then we give the triangular factorization algorithm of the inversion of hankel matrices

    在7中，首先給出hankel矩陣的定義，然後推導hankel矩陣的逆矩陣的快速三角分解演算法。
  7. Thirdly, the method to calculate the 3 - d dynamic responding of layered transversely isotropic saturated soils to an arbitrary buried source in cylindrical coordinate as well as to an arbitrary harmonious source in rectangular coordinate is presented respectively. based on biot ' s wave theory, the 3 - d wave equations in cylindrical coordinate for transversely isotropic saturated poroelastic media are transformed into a group of governing different equations with 1 - order by the fourier expanding with respect to azimuth and hankel integral transform method or by the double fourier transform method with respect to horizontal coordinates in rectangular coordinate. then, transfer matrixes within layered media are derived under the continuous conditions, drainage conditions and the boundary conditions

    基於飽和土的biot波動理論，通過fouricr變換，將橫觀各向同性飽和土三維非軸對稱波動方程轉化為一組一階常微分方程組，再經har止el變換，建立問題的狀態方程，求解狀態方程得到傳遞矩陣;利用傳遞矩陣，結合飽和層狀地基的邊界條件、排水條件及層間接觸和連續條件，首次給出層狀橫觀各向同性飽和地基在任意地展力作用下的三維非軸對稱動力響應的解析解。
  8. An optimal hankel norm approximation model reduction method is used to reduce the equations of motion to lower order size. it is shown that the method is steady, efficient by numerical emulating. firstly, the influence of viscoelastic layer thickness and material properties, piezoelectric actuator layers thickness on the vibration suppression are investigated

    採用最優hankel最小階逼近降階法對主被動混合阻尼結構的控制狀態方程進行降階，以附加主動約束阻尼層的梁結構為例，進行了數值模擬，結果表明：該方法是一種穩定的、高效的、魯棒性很好的降階方法。
  9. 7. propagation properties of flattened gaussian, bessel - super - gaussian and laguerre - gaussian beams are studied by using the collins formula in the frequency - domain and hankel transform. the results are compared with those by means of the collins formula in the space - domain, and the advantage of the method is discussed

    用頻域collins公式和hankel變換研究了平頂高斯光束、貝塞耳?超高斯光束以及拉蓋爾?高斯光束的傳輸特性，並與空域collins公式計算結果作了比較，同時討論了該方法的優點。
  10. Using the hankel transform, the state vector equations are reduced to a set of ordinary differential equations. according to the theory of ordinary differential equations and the cayley - hamilton theorem, an analytical solution of the problem is presented in the form of the product of initial state vector and transfer matrix, which is given for the four distinct eigenvalues each. applications of the solutions are discussed

    利用hankel變換，將狀態變量方程轉化為一組常微分方程組；進而根據常微分方程組解的理論和cayley - hamilton定理，得到了以狀態變量和傳遞矩陣乘積表示的單層壓電壓磁彈性材料的解析解；並討論了4種不同特徵根的情況以及解的應用。
  11. Factorization of nonnegatively extendable block hankel matrices

    矩陣的因子分解
  12. Fast hankel transform algorithm for zero - value

    能算零點的快速漢克爾變換
  13. Properties and application of hankel matrix

    矩陣的性質及其應用
  14. Compact hankel operators on dirichlet spaces

    運算元的緊性
  15. The method for system matrix determination is presented by using a block hankel matrix of raw data and correlation functions

    分別通過原始數據和相關函數數據構成hankel矩陣，運用子空間方法進行系統矩陣的辨識。
  16. Hermann hankel ", " in most sciences one generation tears down what another has built and what one has established another undoes. in mathematics alone each generation adds a new story to the old structure. ",

    在大多數科學里，一代人要推倒另一代人所修築的東西，一個人所樹立的另一個人要加以摧毀，只有數學，每一代都能在舊建築上增添一層樓.
  17. In chap 3, we give the definitions of left inverse and right inverse ; present the fast algorithms of left inverse and right inverse for toeplitz matrix, hankel matrix, loewner matrix and vandermonde matrix with mxn order

    第三章先給出左逆及右逆的定義，然後分別給出了求m n階toeplitz矩陣、 hankel矩陣、 loewner矩陣、 vandermonde矩陣的左逆及右逆的快速演算法。
  18. Based on the transform of coordinate and principle of superposition, a generalized integral formula dealing with moving load problem is established. an impulse response function used in the integral is obtained by means of laplace and hankel transform

    在論文中，基於線性系統的疊加原理和坐標變換，建立了求解移動荷載作用下粘彈性地基板的動力響應積分公式，把運動荷載問題轉化為獲取位移脈沖響應函數。
  19. The fma need the high order hankel function, in chapter 3 the algorithm of calculating the high order hankel function of the second kind is discussed. because of the low effectivity and unsteadiness to use the recursive algorithm to calculate the high order hankel function of the second kind, the paper introduces a kind of new fast algorithm to solve the problem. the worked result indicates : the new fast algorithm is a kind of precise algorithm

    由於快速多極子法計算中要用到高階漢克爾函數，在第三章中，主要針對利用遞推演算法求解高階漢克爾函數時速度較慢和可能存在不穩定的問題，給出一種快速計算高階漢克爾函數方法，最後給出了用快速多極子法計算的四個導體柱體散射截面。
  20. Finally, the torsional vibration of a rigid disk resting on the saturated grounds under the general torque is primarily discussed by the means of laplace - hankel transform. the general solutions of the torsional moment, stress and displacement are given and the numerical solutions in special cases are also obtained

    最後，本文還採用laplace - hankel聯合變換技術初步分析了在一般動扭矩作用下飽和地基上剛性圓板的扭轉振動問題，給出了扭矩、應力和位移的通解，並給出了特例情況下的數值解。
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