拉格朗日元 的英文怎麼說
中文拼音 [lāgélǎngrìyuán]
拉格朗日元
英文
lagrange element-
For a class of quadratic finite element diseretization systems of an elliptic boundary problem with jump coefficients under the unstructured quadrilateral grids, we are concerned with two kinds of quadratic lagrangian finite element equations, by analyzing the relationship between the linear finite element and quadratic finite element basis functions, a hew amg method is designed
摘要針對一類帶間斷系數的橢圓邊值問題,在非結構四邊形剖分下,討論了兩種二次拉格朗日有限元方程的代數多重網格法,通過利用雙線性元和二次元基函數之間的表示關系,給出了一種新的網格粗化演算法和構造提升運算元的代數途徑。Based upon virtual displacement method and the updated - lagrangian approach, stiffness matrices for two - dimensional elastic - plastic beam model in large displacement were proposed, in the derivation of which transverse stress was included because it was believed that part of the 2nd order effects of various stresses, which are in equilibrium with each other and with the external loads, will counteract each other and neglecting either part would possibly lead to incorrect results
利用虛位移原理和更新的拉格朗日方法,導出了大位移彈塑性梁單元剛度矩陣的顯式表達式,在剛度矩陣推導中引入了截面內非線性剪應力和橫向應力的影響,剛度矩陣通過了剛體檢驗。之所以要引入橫向應力的影響,是因為本文認為,保持平衡所需的所有應力,它們各自的二階效應會相互抵消,因此忽略其中的任何一項都可能導致不正確的結果。Also, the author ’ s design strategy and creativity has been given in this paper. specifically, it includes : based on the feasibility analysis of the fit selection of control parameters in the aeration process, the aeration process of wastewater treatment of the joint - constructional complete - mixed activated sludge process has been aimed at in this paper. then, the state equations of the aeration process have been proposed in this paper, which is on the base of dissolved oxygen concentration ( do ) and discharge quantity of sludge ( qw ) as control variables, the concentration of bod and sludge as state variables. based on the present study on optimization control of wastewater treatment, the multivariable optimal control model with restriction factor has been presented in the paper with introducing modern control theory and system analysis into the field of activated sludge wastewater treatment,
具體包括:以完全混合、表面曝氣合建式活性污泥工藝的污水處理曝氣過程為研究對象,在闡述了曝氣過程式控制制參數選取可行性的基礎上,建立了以溶解氧濃度do和活性污泥排放量qw為控制變量,以曝氣池中有機物濃度s和微生物濃度x為狀態變量的活性污泥曝氣過程的基本狀態方程;運用現代控制理論的觀點和污水處理理論,在現有關于污水處理最優控制問題研究的基礎上,建立了有約束條件多變量能耗最小數學模型,該數學模型是以有機物排放總量和狀態變量的末值條件作為約束條件,曝氣過程的能耗最小作為目標泛函;採用增廣拉格朗日乘子法對最優控制問題進行轉化,並對應用極大值原理求解能耗最小這一最優控制問題進行了詳細的解析;引入約束運算元,應用具有控制約束的共軛梯度演算法對能耗最小這一最優控制問題進行求解,並進行模擬實驗驗證。As the deformation caused by centrifugal force is beyond the small deformation range, the large deformation effect was also taken into account in the equation. two models are constructed, one is of shrouded blade and the other is of bladed disc. the static natural frequencies and dynamic frequencies ( under 3000rpm ) are calculated by the finite element method and cyclic symmetry technique
針對葉片的結構特點,採用適應較強的三維八節點實體單元模擬葉片,建立葉片運動微分方程;葉片?輪盤系統在高速旋轉時,受到離心力作用,使葉片發生大變形,故在方程中考慮了幾何大變形的問題;為研究葉根輪緣之間的接觸狀態,建立了考慮葉根?輪緣接觸的有限元方程,利用拉格朗日增廣演算法來求解該方程,確定葉根輪緣之間的接觸面狀態。To improve computing precision, the latter applies interpolating function of curved - quadrilateral element containing six npdes to thicking the influence surface of grillage. compared with lagrangian interpolation for rectangular element and triangle plane interpolation, this way not only improves computing precision but be more suitable for the curved - bar grillage analyzing method introduced this paper
為了提高計算精度,本文應用六結點曲邊四邊形單元插值函數加密梁格影響面,與矩形單元拉格朗日插值及三角平面插值方法相比,不但提高了計算精度,且更適于曲桿梁格分析。Based on one dimension flow theory and lagrange method, the correlation of speeding rate of particles under gas flow drag with the size of particles and the length of laval nozzle used for the gas and solid two - phase separation test apparatus was studied
摘要採用一元流動理論和拉格朗日方法,研究了用於氣、固兩相分離試驗裝置的縮放噴管內,被氣流拖曳的顆粒加速率與顆粒大小和縮放噴管長度的關系。Based on the built mathematic model for lunar robber a two - closed - loop tracking control strategy is proposed. this proposed strategy applies single neural sliding mode control method for nonhomonomic constraints, fuzzy control method for uncertain conditions and lagrange optimization calculation for the redundancy of the inputs
考慮到系統模型中存在的非完整特性、參數不確定性和冗餘輸入,分別採用單神經元滑模變結構方法、模糊控制方法和拉格朗日極值法來設計控制器。Application of the cauchy ' y law of continua, the motion equation of the tetrahedral element is concluded, and discretization the analysis zone, applying the finite difference method, all tetrahedral differential equations of motion are converted into the nodal finite difference equation
快速拉格朗日分析程序運用連續介質的柯西定律,推導出四面體單元運動偏微分方程,並離散化分析區域,用有限差分計算方法,把所有的四面體單元運動偏微分方程等效成節點有限差分方程。An algebraic multigrid method of the high order lagrangian finite element equation in r
求解三維高次拉格朗日有限元方程的代數多重網格法An algebraic multigrid method of quadratic lagrangian finite element equations under the unstructured quadrilateral grids
求解非結構四邊形二次拉格朗日有限元方程的代數多重網格法The contact finite element optimization model based on augmented lagrange method was established by ansys parametric design language ( apdl )
闡述了基於擴張的拉格朗日演算法有限元分析的接觸優化模型建立,利用ansys軟體參數化設計語言完成了優化計算。They have a number of desirable properties not possessed by wavelets of daubechies type, namely : they have symmetry property ; the scaling function and physical space representation are identical ; expansion coefficients are easily computed ; in certain respects they are more accurate ; the functions ( but not their derivatives ) can be computed without solving an eigenproblem. the price to be paid for these advantages is the loss of orthogonality, interpolating wavelets are only biorthogonal
本文主要的研究成果是把一維的某些結論推廣到高維,分為以下四個方面: ( 1 )使用二元拉格朗日插值法構造二元尺度函數和小波函數,使其具有緊支性、對稱性以及函數展開式的系數易於計算等優點。唯一的缺陷是缺乏正交性。Based on the nonlinear finite element theories, this thesis adopts total lagrange description to deduce geometric nonlinear tangent stiffness expressions for spacial frame, considering effects of high nonlinearity
基於非線性有限元理論,採用全拉格朗日( totallagrange )描述法,考慮高階非線性項的影響,推導了空間梁單元的幾何非線性切線剛度矩陣。The fan shaped grid with the element squarization was used to mesh the slice blade, and a dynamic equation was established for the slice blade according to lagrange equation
利用單元正方化扇形網格劃分方法,對薄刀片劃分單元,並應用拉格朗日方程建立了高速旋轉圓盤薄片刀具薄刀片的動力學方程。The large displacement stiffness matrix of the 4 - node space cable element is derived based on the updated total lagrangian formulation and fem theories
本文基於修正的拉格朗日坐標描述法,利用有限元的基本理論,推導了空間四節點索單元的大位移剛度矩陣的具體表達式。In addition, the numerical simulation of effect of similar soil slope reinforced by anchor cable beam comes to the conclusion that this technology is superior to common reinforcing measures
最後,應用拉格朗日元法對預應力錨索地梁加固的類土質邊坡進行數值模擬,得出它具有普通錨固措施不能達到的優越性。分享友人