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hexahedron n.(pl. hexahedrons, -dra ) 六...

hexahemeron

Considering characteristic of different material zones of dam foundation in computation model , the compatible displacement method for incompatible mesh is presented in this paper , it is convenient for considering the interaction between the arch dam body and the dam abutment . therefore , the mesh of dam body can be generated with 3d hexahedron elements but that of dam foundation is generated with 3d tetrahedron elements 針對計算模型中壩基材料復雜、地質構造豐富的特點,提出了“典型面控制法”和壩基用空間四面體單元離散,壩體(包括附近區域)用空間六面體單元離散的非一致網格協調位移解法。

This dissertation applies 3 - d finite element theory to development of the shape functions and stiffness matrixes of the triangular prism isoparameter elements ( 6 to 15 nodes ) . a calculating method for gaussian integral in triangular prism is presented . the stress field in welded steel structures can be computed by the triangular prism isoparameter elements ( 6 to 15 nodes ) and hexahedron isoparameter elements ( 8 to 21 nodes ) 本文應用三維有限元理論,構造了一類五面體6 15節點單元的形函數,提出了在五面體單元內的gauss積分處理方法,建立了相應的單元剛度矩陣,將其與六面體8 21節點單元結合,可用于計算焊接鋼結構的應力場。

( 4 ) this program was developed on the base of the zrcae software , comparing with the process of calculation with tetrahedron element , only one additional choice operation was needed if the user want using hexahedron element . so the characteristic for simple operation of the zrcae software was kept Gu )本程序是在商品化的紫瑞cae基礎上開發的,與采用四面體單元進行計算相比,用戶要采用六面體單元進行計算,只需增加一跟擇操作,所以本程序保持了紫瑞cae操作簡單的特點。

Above all , the system has some advantages such as high compute precision , high speed and suited for large structure analysis . during the process of the system researching , a new mesh approach based on advancing front technique for triangle elements was studied . a practical method of generating hexahedron mesh for cellular element method through transfering lines into volumes was worked out 在軟件研制過程中,提出一種基于前沿生成法的速度快、穩定性好的平面元胞元網格自動生成方法和三維六面體網格的線段轉換法;根據元胞元模型的特點,提出一種穩健性較好的三維元胞元模型消隱方法;通過對應力圖生成技術的研究,提出一種對等值線、色帶圖、濃淡圖均適用的應力圖快速生成算法。

Theoretical research based on the quasi - static test such as theoretical analysis in nonlinear finite element method , programs to shape function of isoparametric element of hexahedron with eight nodes and to stiff matrix of elements , application of resilience model in degeneration equation of elastic module of concrete goes along 在試驗基礎上進行了理論研究,用非線性有限元方法分析框架,編寫了六面體八節點等參元形函數、單元剛度矩陣等部分程序,將恢復力模型應用到混凝土彈性模量退化方程中。

And then , in the simulation of three - dimensional , the application of o - type grid and hybrid grid are used in two relatively complicated structures make the total amounts of grids and the time of grid generation reduced greatly . moreover the hexahedron grids are placed in most areas to provide higher precision . through the comparison between the results of two - dimensional and three - dimensional simulation , we knew two - dimensional calculating is not adequate 本文用簡單、方便的二維模型作為數值計算的起點,使用耦合隱式算法以及先進的v2f湍流模型進行求解,成功地捕捉到了激波,觀察到主氣流從壁面的分離、切換、再附壁等現象,并對計算結果進行了細致的分析,得出一些有意義的結論;在此基礎上,本文在國內外首次對超音速射流雙穩閥的三維流場進行了計算。

The paper establishes mathematics model of electromagnetic heating system of eddy current field and temperature field , and gives corresponding discrete format with elements as eight nodes , hexahedron equal cell , through calculating eddy - current field to gain the internal heat source that the temperature field needed , to use discrete method to solve the problem of induction - heating part ' s temperature field by axial symmetrical electromagnetic , and then to analyze the characteristic of instantaneous temperature field 本文建立了電磁加熱系統的渦流場和溫度場間接耦合的數學模型,分析了不同頻率下渦流和溫度的分布情況,并以八節點六面體等參元為例給出了渦流場對應的離散格式,通過計算渦流場獲得溫度場所需要的內熱源強度,加熱部件的溫度場以軸對稱格式進行離散求解,并對瞬態溫度場有限單元法的求解特點進行了分析。

( 2 ) basing on zrcae software and on development bench of mechanical desktop 3 . 0 and using the arx second level development technique a program system by which hexahedron mesh can be automatically generated had been developed . during the process of developing some tools such as visual c + + 6 . 0 , fortran powerstation version 4 . 0 and techniques such as object - oriented programmer technique , dynamic link library technique , mixed - language programming method was used . the nodes coordinate had been optimized ( 2 )在紫瑞cae軟件基礎上,以mechanicaldesktop3 . 0為開發平臺,利用arx二次開發技術和visualc + + 6 . 0 、 fortranpowerstationversion4 . 0等開發工具,采用面向對象技術、動態鏈接技術、混合語言編程方法等技術開發了六面體網格全自動剖分程序,并對節點坐標進行了優化處理。

The anisotropic property of the generalized difference methods has not been studied until now . in this paper , the anisotropic property of a kind of generalized difference methods is analy - sized and its error estimate is obtained without the limitation of regularity . finally , the numerical examples show that the theoretic analysis is right . in addition , based on the 2 - dimensional quasi - wilson element , the quasi - wilson element in the 3 - dimensional space with application to second - order porblem is presented . lt is proved that it is convergent for arbitrary hexahedron regular subdivision in 3 - dimensional space , and its error estimate is obtained 本文結合各向異性有限元的研究成果,對基于矩形剖分的一類廣義差分法進行了各向異性分析,給出了與剖分的正則性無關的收斂階估計,并進行了數值試驗,表明這類廣義差分法具有各向異性特征,可以用于窄邊問題的計算。

The main contributions of the dissertation are as follow : ( 1 ) the possibility of generation hexahedron mesh through tetrahedron conversion method was studied , and a set of feasible method to deal with the boundary condition of constraint and loads has been brought forward 本文的主要工作包括如下幾個方面: ( 1 )研究了在紫瑞cae基礎上采用四面體轉換法進行六面體網格全自動剖分的可行性并對約束和載荷的處理提出了一套可行的方案。

Similarly , the new method was applied to analyses three - dimensional entity structures . the hexahedron element with 8 nodes was selected to solve the structures . some examples were listed , and the results show that cellular element method can solve space problems well 同時,還應用該方法分析三維實體結構,以8節點六面體等參元為例進行了數值試驗和討論,證明該方法在彈性力學空間問題中的應用同樣是有效的。

Summarize and analyze on the preprocessor of the finite element method firstly was carried through in this paper . it was then pointed out the advantage of hexahedron mesh on analyze with the finite element method and the difficulty of the automatic generation technique of hexahedron mesh 本文首先對有限元前處理技術進行了分析和綜合,指出了六面體網格在有限元分析中的優點及六面體網格剖分的難點和現狀。

It was later demonstrated the possibility to get hexahedron mesh through tetrahedron conversion method . basing on the preprocessor module of zrcae software , a program system has been developed with which hexahedron mesh can be automatically generated 隨后論證了四面體轉換法全自動生成六面體網格的可行性,并在紫瑞cae軟件前處理模塊的基礎上,研制開發了八節點和二十節點六面體網格的全自動剖分程序。

Based on the line spring model of rice and levy , this paper sets up eight nodes line spring element and its stiffness matrixes and works out a program consist of prism element , hexahedron element and line spring element 編制了五面體單元、六面體單元和八節點線彈簧單元相結合的計算程序,計算了t型板接頭表面裂紋的應力強度因子,計算值與光彈性試驗結果吻合較好。

The outer - contained parallel hexahedron smaller then that in the now existing document is presented according to the given point series , and the definition and solution model of smallest outer - contained cylinder are introduced 摘要根據已給點列,給出了比現有文獻更小的外包容平行六面體,并引進了最小外包容圓柱的定義、求解模型。

Four kinds of situations between the smallest outer - contained hexahedron of the same point series and axis of cylinder are presented , and the reliability of the above stated model and analysis is verified by living example 給出了同一點列的最小外包容六面體與圓柱軸線間的4種情況,并用實例驗證了所述模型和分析的可靠性。

A kind of complete automatic subdivision method for mesh of hexahedron based on quadratic subdivision of tetrahedron was put forward and the corresponding program was developed 摘要提出了一種基于四面體二次剖分的六面體網格全自動剖分方法,研制了相應的程序。

The calculation accuracy and the calculation efficiency of hexahedron mesh generated by author are higher than tetrahedron element 所剖分的六面體單元的計算精度和計算效率都高于四面體單元。

Application of linkedlist - class in contour lines of 3d hexahedron element 鏈表類在三維六面體單元等值線繪制中的應用