級數解 的英文怎麼說

中文拼音 [jíshǔjiě]
級數解 英文
series solution
  • 級 : Ⅰ名詞1 （等級） level; rank; grade 2 （年級） any of the yearly divisions of a school course; gra...
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 解 : 解動詞（解送） send under guard
  • 級數 : [數學] progression; series; number of stages; number of steps; stage number級數變換 transformatio...
  1. This course consists of several major parts, such as vectors and analytic geometry, derivatives, integration and series

    課程內容包括空間解析幾何與向量代數、多元函數微分學、多元函數積分學和無窮級數等幾大板塊。
  2. In this paper, by using the property of fourier series a compound series consisting of trigonometric series and power series is established

    摘要利用由三角級數和冪級數復合構成的函數項級數的有關性質，得到了一類變系數非齊次調和方程邊值問題的級數解。
  3. The differentiator series solution to euler equation

    歐拉方程的微分運算元級數解法
  4. Series solution of electric field intensity on perpendicular axis of elliptic charged ring

    橢圓形帶電環垂直軸上的電場強度級數解
  5. The boundary value problems of singular perturbation with boundary layer at turning points are discussed. the asmptotic expansion are constructed. and the uniformly valid asmptolic estimation is obtained

    主要討論了在轉點處出現邊界層現象的奇異攝動邊值問題，構造了形式級數解，得到了一致有效的漸近估計
  6. Ordinary differential equation, first order differential equations, 2nd order differential equations, power series solution of differential equation, laplace transform, fourier series and transform, matrix, eigen value problem, partial differential equation

    常微分方程式、一階微分方程式、二階微分方程式、微分方程式級數解、拉氏轉換、復利葉級數與轉換、矩陣、本徵值問題、偏微分程式。
  7. Secondly, the effectiveness and limitation of the classical perturbation, such as the method of multiple scales and the poincare - lindstedt method, are discussed in detail through a duffing oscillator with delayed velocity feedback. it is shown that the two perturbation methods are effective only in solving the approximate solution of the first two orders. an ambiguity or paradox will be encountered when they are used to seeking for the third or higher order approximation of solution

    其次，以一具有時滯速度反饋的duffing系統為例，研究了經典攝動法如多尺度法， poincar - lindstedt法等在求解時滯微分方程級數解時的適用性和局限性問題，指出利用這些方法只能有效求得系統的前兩階近似解，而在求系統的三次以上近似解時會出現矛盾或二義性。
  8. Using the complex potential method in the plane theory of elasticity of an anisotropic body, a series solution to the stress field of a finite plate containing multiple cracks subjected to arbitrary loads is obtained by means of the faber series expansion, and the stress intensity factors at the crack tips are calculated based on the theories of fracture mechanics. equivalence yield stress is introduced in order to consider the effects of the plastic zones, with which the strip yield criteria is developed in the article so that the effects of structural size and the crack interactions on the stress distribution can be considered accurately. the effects of plate size, crack size and crack distributions on the stress intensity factors as well as the residual strength of the plate are studied detailedly

    採用各向異性體平面彈性理論中的復勢方法，以faber級數為工具，得到了含多裂紋有限大板在任意載荷作用下應力場的級數解，並應用斷裂力學方法確定裂紋尖端的應力強度因子；引入當量屈服應力考慮裂尖塑性區的影響，提出基於帶屈服準則的剩餘強度分析模型，能夠充分考慮結構尺寸和裂紋之間相互作用對應力場的影響；通過數值計算詳細討論了結構尺寸和裂紋之間位置關系對應力強度因子和結構剩餘強度的影響規律，得到了一系列對工程應用具有實用價值的結論。
  9. Using the complex potential method in the plane theory of elasticity of an anisotropic body, the series solution of finite anisotropic thin plate containing an elliptical inclusion is proposed with the help of faber series. a hybrid element with an elliptical inclusion for anisotropic materials is obtained by using the hybrid variable principle, and the element efficiency is verified by numerical examples. the state of the damage is modeled by an elliptical soft inclusion, and using the point stress criterion based on characteristic curve and yamada - sun etc. criteria, the prediction of the strength of a composite laminate with damage is set up

    首先基於經典層板理論，將復合材料層板的彈性問題化歸為均勻各向異性板來求解；採用各向異性體平面彈性理論中的復勢方法，以faber級數為工具，給出了有限大含橢圓核各向異性板彈性問題的級數解形式；利用雜交變分原理，成功導出含橢圓核各向異性板雜交應力有限元，並用算例驗證了該單元的可行性和有效性；採用含剛度折減橢圓形彈性核的沖擊損傷模型，引入基於特徵曲線和yamada - sun破壞準則的點應力判據，建立了含損傷復合材料層板剩餘強度的分析方法；通過數值計算詳細討論了各種幾何參數對損傷層板應力分佈、剩餘強度的影響，得到了一系列對工程應用具有實用價值的結論。
  10. The series solution of the eccentric spherical capacitor ’ s capacitance has been obtained based on the bispherical coordinate system and strict derivetion, and through making programe to compute to get the numerical relation between the capacitance and the eccentrity, pionted out that the capacitance not let up but enlarged with the gain of eccentriccity

    四、採用雙球坐標系嚴格求解了偏心球形電容器的電容。得到了它的級數解，求得了偏心球形電容器電容大小隨偏心度變化的規律，發現偏心球形電容器電容的大小並不是隨偏心率的增加而減小，而是隨偏心率的增加而增加的。
  11. Asymptotic expansion solution

    漸近級數解法
  12. In chapter 2, the ii ordering is presented and the arbitrary functions and the arbitrary constants are least in the solution of formal series under the ii ordering by illustration ; furthermore, the author introduces the application of the standard form of reid to ascertain the target equation of linear constant partial equations

    在第二章中，作者給出了reid標準型演算法中的型序關系，通過舉例說明在型序下，得到的形式冪級數解中任意函數和任意常數的個數最少；並提出了reid標準型的一個重要應用：確定線性常系數偏微分方程組的目標方程。
  13. The first part, the theory and application about wu - ritt differential characteristic sequence method are discussed, which involves the theories of differential equations, abstract algebra and computer algebra etc. we apply wu - ritt differential characteristic sequence method ( abbr. wu - ritt method ) to linear partial differential equations which has physics significance and give the size of solutions and formal taylor solutions

    本文共分兩部分，第一部分討論微分特徵列法的理論和應用問題，涉及到微分方程，抽象代數，計算機代數等重要學科。將吳方法應用到具有物理意義的線性偏微分方程上去，我們給出了型序，驗證了張鴻慶教授八十年代給出的恰當解的概念，刻劃了解的規模並給出了形式冪級數解。
  14. 3 elastic exponential progression solution which is widely recognized by the field of civil engineering are applied to analysis of the pcc pile under lateral load, and the results are compared with that of finite elment method. accordingly, the validation of program is once more proved

    3 、應用樁身撓曲彈性微分方程冪級數解析法對本文中的pcc樁算例進行了分析，並將分析計算結果與有限元計算結果進行了對比，進一步驗證了本文有限元數值演算法運用於pcc樁水平承載計算的正確性和有效性。
  15. The result of a case studying shows that the settlement calculated by large strain consolidation theory is large than that by infinite strain theory during the consolidation procession, but the final settlements calculated by both theories are same. more general assumptions than that in the classical consolidation theory is adopted and the exact analytical solution of nonlinear finite strain self - weight consolidation based on this assumption is obtained. by applying same experiment data, the comparison of the solutions of linear and nonlinear finite strain theory, as well as the numerical solution from finite element method is presented

    對此模型求得到了某些特殊條件下的lagrange級數解答，並通過尾礦沉降池實例分析，驗證了所得解答的合理性和有效性；建立了土體在堆積過程中的大應變固結模型，通過其對稱性構造出相似變量之後，由攝動法求得了近似解析解答，並通過試驗數據與傳統的線性化固結理論的解答相比較，顯示了傳統線性化固結理論在該問題上的局限性。
  16. Firstly, behavior and destroying mechanism of pile under inclined loads are systematically discussed based on summary of research on pile under inclined loads home and abroad, and then a power series solution for displacement and stress calculation of pile under inclined loads in layered soils is presented. based on the solution, the calculation of soil reaction force at the flank and bottom of piles, vertical and horizontal displacement of piles and maximal bending moment of piles is concluded

    本文首先系統地回顧了國內外傾斜荷載樁研究工作，在此基礎上詳細討論了傾斜荷載下基樁的受力特性和破壞機理，從而導出了處于成層地基中的傾斜荷載樁的內力及位移分析的冪級數解，並以冪級數解的分析結果進一步導出了樁側及樁端土體抗力、樁身豎向及水平位移、樁身最大彎矩的計算方法。
  17. We apply wu - ritt method to linear partial differential equations and gave the size of solution arid formal taylor solutions

    我們把它應用到線性偏微分方程上去得到了解的規模和形式冪級數解。
  18. The solution of series of the anti - plane problem on a circular elastic inclusion in an infinite body

    含圓形彈性夾雜的反平面問題級數解法
  19. The convergence property of p - dimension vector type dirichlet series

    線性微分方程冪級數解的收斂半徑
  20. Nowadays, the pcc pile have been widely used for soft ground improvement and application of foundation engineering. the behavior of pcc pile, that subjected to lateral load has been studied in this paper. the behavior of the pcc pile has involved moment and horizontal displacement and load of pcc pile. they are studied by in the physical model experimen, field test finite element numerical analysis, and exponential progression solution. in additional, the comparatively computal analysis are carried out among pcc pile, cast - in - situ concrete circular pile, prefabricate concrete square pile, and obtain some signification conclusion

    本文主要圍繞現澆混凝土薄壁管樁（以下簡稱pcc樁）這一新型的樁基結構型式的水平承載性狀展開研究，通過室內模型試驗、現場試驗、有限元數值模擬分析試驗及彈性冪級數解析法分析等手段，對pcc樁水平承載的樁身受力性狀，樁身撓曲位移，樁身彎距分佈，樁與樁周土相互作用的地基反力等幾方面進行了初步的探討和研究，最後將pcc樁與目前工程中的兩種常用於承受水平荷載的樁型進行對比計算分析，得到有意義的結論。
分享友人
分享到 Line

分享到臉書