解析解 的英文怎麼說

中文拼音 [jiěxījiě]
解析解 英文
analytic solution, analytical solution
  • 解 : 解動詞（解送） send under guard
  • 析 : Ⅰ動詞1. （分開; 散開） divide; separate 2. （分析） analyse; dissect; resolve Ⅱ名詞（姓氏） a surname
  • 解析 : analysis; resolution; analyzing; resolving解析幾何 [數學] analytic geometry; cartesian geometry; ...
  1. Fist of all, on the basis of the research of agone boffins, this author investigates the interaction mechanism of bolts and rock, and introduces the elastic ? lastic analytical resolution which is consist of the liner structure, the equivalent reinforced wall rock and the original wall rock in the simple loading from the equivalent well - proportioned view ; this solution is very important meaning for the engineering design. on the basis of coulomb friction model, the author introduces the finite element equation of the contact problem in order to provide the academic foundation for the application of msc. marc. finally, combining the engineering practice of the non - linear analysis of shield tunnel through yellow river of the south - north water transfer and using the model of friction, the author researched the evolution law of stress and displacement field in the structure of grouted rock bolts, and analyzed the effect to the stress and deformation of surrounding rock mass due to anchor supports

    首先，在前人研究成果的基礎上，對錨桿與圍巖的相互作用機理進行研究，利用全長錨固錨桿的中性點理論，從等效均化的角度來考慮錨桿對圍巖的加固作用，並推導了在簡單荷載作用下，含有襯砌、等效加固后的圍巖、原始圍巖三者的彈塑性解析解，對工程設計有著重要的參考意義；在數值模擬方面，以考慮錨固圍巖滿足規則化庫侖摩擦模型為基礎，利用虛功原理推導了接觸問題的有限元方程的計算格式，為開發運用大型商用有限元軟體msc . marc提供了理論根據，也形成了本文的理論基礎：最後，論文以南水北調東線穿黃隧洞穩定性分析項目為工程實例，利用本文所述的接觸問題的摩擦模型理論，對錨桿支護結構的應力場、位移場的變化規律進行了研究，分析了加錨支護對隧洞圍巖應力、變形的影響。
  2. The complex nonlinear pursuit - evasion model of two spacecraft in near - earth coplanar orbit is simplified to linear model, the circular region the radius of which is equal to capture radius is defined as target set, capture is achieved when the evader come into the target set and the game is over ; the boundary of useable part ( bup ) is determined, and the analytical form solution of the linear equations is obtained by backward integration of the state variables from the bup, the linear barrier of the pursuit - evasion model and the optimum thrust of the both sides are thus obtained

    本文將近地共面軌道內運動的兩飛行器非線性追逃模型簡化為線性模型，以捕獲半徑的圓域定為目標集，確定目標集邊界上的可用部分，並以此為各狀態變量的起點，對時間進行倒向積分，求得線性方程組的解析解，從而確定了該追逃模型的線性界柵，以及界柵上對策雙方的最優推力，即求得了滿足最優策略時相對運動的軌跡和推力。
  3. The approximation analysis result of band dipole model is obtained on the basis of the theory of mfl. the electromagnetic distribution feature of the defect in the steel panel is studied by means of simulation. the leakage magnetic distribution of the two defects and four defects plural and the defects in the column differently in the width are also assayed. conclusions that factors affecting flaw magnetic leakage to the panel also affect the column and magnetic leakage bx should be the feature of the flaw identification to several flaws are drawn

    在對漏磁檢測原理進行詳細介紹的基礎上，得出了帶偶極子模型的近似解析解，並以有限元數值模擬分析為主要手段，以鋼板上缺陷為對象，分析了各因素對缺陷漏磁場產生影響的不同規律，同時模擬分析了板上平行的兩條裂紋，四條裂紋以及柱體上寬度不同時的裂紋的漏磁場分佈特徵，得出結論:影響板上缺陷漏磁場的諸因素會對柱體上缺陷漏磁場產生同樣的影響;對于多條裂紋，宜用漏磁分量bx作為缺陷識別的特徵量。
  4. After analyzing deformation of each cirque, with combined cirque method, pressure - bearing ratio of steel lining and rock is obtained in the condition of coincident deformation among each cirque

    並利用變形協調條件，推導出各環變形的解析解，得到鋼襯和圍巖的壓力分擔比。
  5. Analytical solutions for three dimensional elasticity problems are quite difficult to obtain.

    三維彈性問題的解析解是很難得到的。
  6. Based on the equal strain consolidation model of sand drain, and neglecting the well resistance and the vertical drainage consolidation, a layered model for the nonlinear consolidation of sand drain, which accounts for the geostatic pressure varying along depth and the relationship between the average viod ratio and the logarithm of average effective stress, is presented

    摘要基於砂井等應變固結模型，考慮初始有效應力沿深度變化，忽略井阻和豎向排水固結的影響，應用平均孔隙比與平均有效應力的對數關系，建立砂井非線性徑向排水固結的分層計算模型，並求得常荷載作用下的徑向排水固結解析解。
  7. 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。
  8. 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。
  9. Analytical solution of smoluchowski equation in harmonic oscillator form

    方程的諧振子解析解
  10. Forward displacement analysis for lps + 3tps, lpt + 2tps, lpps + 4tps type pmts are performed based on result elimation method. closed form solutions for forward displacement of these hybrid type pmts are derived, numerical examples are given for illustration

    基於結式消元法分別對1ps + 3tps型、 1pt + 2tps型和1pps + 4tps型並聯機床進行了位置正解分析，獲得了封閉形式的解析解。
  11. 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
  12. ( 2 ) the liman problem is normally adopted to check the liability of numerical method. the calculation error was within 9 % by comparison with the theoretic solutions of liman problem in the following case, the dimensionless calculation length was 2 with high pressure zone 0. 8, and the dimensionless state parameters were p1 = 2, p2 = 1, p1 = p2 = 1, u1 = u2 = 0. experiment results in literature [ 8 ] were used to check the adaptability of the numerical model developed here for unconfined gas cloud explosions and the calculation error was within 13 %

    （ 2 ）數值方法的可靠性通常用黎曼問題的解析解檢驗，本文以無量綱計算區長度為2 ，高壓區長度為0 . 8 ，狀態參數為p _ 1 = 2 ， p _ 2 = 1 ， _ 1 = _ 2 = 1 ， u _ 1 = u _ 2 = 0條件下的黎曼問題解析解對所編制的爆炸場計算程序進行了考核，結果表明該程序的計算誤差在9以內；為考核本文計算模型預測開敞空間氣雲爆炸的適用性，以文獻[ 8 ]的實驗數據進行了校核，計算誤差在13以內。
  13. 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
  14. Some conclusions are drawn : 1 ) effect of inertial force from superstructures on the lateral seismic response of single pile can not be ignored ; 2 ) the lateral seismic response of single pile induced by far - field earthquake are mainly affected by acceleration mass of superstructure > site eigenperiod. it increases with the increment of accele ration and mass of superstructure. as the site characteristic frequency approaches the self - oscillation frequency of the pile, sympathetic vibration occurs and the value of lateral seismic response reaches maximum ; 3 ) as the stiffness ratio of pile to soil increase, the relative displacement of pile to soil increases ; 4 ) the lateral seismic response of fixed - head pile is much smaller than that of free - head pile

    將其解析解與具體的的抗震設防烈度和場地特徵周期結合起來，計算分析了成層地基中單樁的橫向地震響應，得到了以下結論： 1 ）上部結構慣性力對樁的橫向地震響應的影響不可忽略； 2 ）成層地基中的單樁的橫向地震響應主要受地震基本加速度、場地特徵周期、上部結構質量的影響，隨地震基本加速度、上部結構質量的增大而增大；場地特徵頻率越接近樁基自振頻率，樁基地震響應越大，等於自振頻率時，由於發生共振現象，樁基響應幅值最大； 3 ）樁土剛度比越大，樁土之間的相對位移的幅值越大； 4 ）樁頂固接的連接方式，可以有效地降低地震時單樁的橫向地震響應。
  15. Because of its complexity, no analytic solution can be got. to better understand the propagation characteristics of the waveguide, it is necessary that analytic solution should be got for simpler structure. based on the background, in this paper, we discuss the propagation characteristic of ray in the planar symmetric metal - clad uniaxial waveguide ( the waveguide layer is uniaxial crystal

    但是以前人們只局限於對非對稱金屬波導（即在各向異性介質波導層一面上鍍有金屬膜）的討論，由於其復雜性，他們沒有給出解析解，為了能更好的解析討論其傳輸特性，需要討論較簡單的波導結構。
  16. By integrating the backmixing theory of reaction engineering with predictive model of river pollution in environmental quality assessment study, the predictively longitudinal dispersion model of river quality was got and analyzed

    摘要將反應工程學的返混理論與環境質量評價學的河水污染預測模型結合，得出了河流水質預測縱向擴散模型，並給出了解析解。
  17. The computer speed is speeded up. the numerical results of the present models are in agreement with the theoretical solution and those of physical models. systematical numerical tests show that the present models can reasonably simulate the wave transformation, such as shoaling, refraction, diffraction, reflection, effect of currents and so on

    比較詳細的模型驗證與應用表明，模型的數值模擬結果與解析解、物模實驗值吻合良好；可以較好地模擬波浪傳播過程中的淺水變形、折射、繞射和反射等多種現象；能正確合理地反映水流對波浪傳播的影響。
  18. Abstract : this paper studies the structure, function and realization of ceramic / metal gradient thermal barrier coatings dynamic design software by combining the conceptions of thermal barrier coatings ( tbcs ) and functional gradient materials ( fgms ). through a typical example, it compares and analyses the simulation results of temperature field in the multiplayer gradient cylinder model calculated by analytical method, finite difference method and finite element method

    文摘:結合熱障塗層和功能梯度材料的概念，研究陶瓷/金屬梯度熱障塗層動態設計軟體的結構與功能及其實現過程.通過具體的例子，對多層圓筒模型的溫度場的解析解、差分解及有限元解的模擬結果進行了比較及分析
  19. 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。
  20. Using the direct perturbation method, we gave the analytically chaotic solution and its boundedness condition to each perturbed equation

    運用直接微擾法，我們給出了各級微擾方程的解析解及其有界性條件。
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