singular element 中文意思是什麼
singular element
解釋
奇異單元-
Analysis of singular electromechanical fields at the interfaces of bimorph with a quot; cracked element quot
用裂紋單元分析雙壓電材料界面力電耦合奇異場 -
Its biquadratic finite element approximation is considered and under the appropriately graded meshes, quasi - optimal order error estimates in the - weighted h ^ 1 - norm, up to a logarithmic factor in the singular perturbation parameter, are proved
然後，考慮此方程在分層網格剖分上的雙二次有限元逼近，在-加權h ^ 1 -模意義下得到了至多相差一個關于攝動參數對數因子的擬最優階收斂的誤差估計。 -
In order to solve the singular stress fields in tips of bonded dissimilar anisotropic materials, a novel hybrid element model is established
摘要為了求解各向異性接合材料界面端部奇異性應力場，建立了一種新型雜交元模型。 -
Eigenequation about singularity, singular stress fields and electrical displacement fields near the interface edge are obtained under axisymmetric distortion. finally, a special finite element formulation which is based on the principle of minimum potential energy has been developed for determining the orders of the singularity of the singular stress fields around the singular point ( interface edge, interface corner and the interface crack ) in the bonded dissimilar anisotropic / anisotropic, piezoelectric / piezoelectric as well as piezoelectric / anisotropic materials. the numerical results show that this method is very convenient and efficient
最後，從最小勢能原理出發，在僅僅考慮奇異性支配區域這一前提下，對于彈性接合材料的平面變形問題和擬平面應變問題，以奇異點為原點分別建立極坐標系和圓柱坐標系，通過分部積分消除廠項，從而使奇異性問題的求解由原來的二維降為一維；對於三維變形問題，以奇異點為原點建立球坐標系，通過分部積分消除項，從而使奇異性問題的求解由原來的三維降為二維。 -
A finite element solving the elliptic fourth order singular perturbation problem need to be a convergent plate element and to be convergent, uniformly with respect to the parameter e
數值結果表明此元有較好的收斂性。求解四階橢圓奇異攝動問題的有限元應是收斂的板元，並且要關于（ -
In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples
第二章在聲波動理論基礎上，詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式；根據fredholm積分理論，對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明；改進了chief法以提高其克服解的非唯一性的有效性和可靠性；對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究；開發了三次樣條改進chief法計算軟體，並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。 -
Study of a new singular finite element in crack tip field
裂紋尖端場一種新的奇異元研究 -
Singular integral equations and boundary element method of cracks in thermally stressed planar solids
熱載荷作用下平面裂紋問題的奇異積分方程與邊界元法 -
We extend this method to the problem of a domain which boundary is an open arc or an open segment. in this paper, we simulate the singularity of solution in extreme point of open arc or open segment by singular element
本文還把此方法推廣到求解區域邊界是直線段或者開弧段的情況，採用引入奇異邊界單元的方法來模擬解在開邊界端點附近的奇異性。 -
In order to get a finite element formulation to analyze singular heat flux fields, the weak form of basic equations and boundary conditions describing the 2d heat conduction eigenproblems is derived for the sectorial domains in the vicinity of the interfacial crack tip
摘要為得到用於分析奇異熱流密度場的高效的有限元列式，針對不同材料中界面裂紋尖端的扇形區域，推導出二維熱傳導特徵解問題的基本方程和邊界條件的弱形式。 -
Therefore, the nearly singular and singular integrals are successfully calculated. this dissertation presents the scheme to apply the regularization algorithm to multi - domain boundary element methods ( bems ) and contact bems
文章闡述了多域邊界元法的基本原理，給出了幾乎奇異積分正則化演算法在多域邊界元法中應用的基本列式。 -
For the interface problems with variable coefficients, it is introduced that a particular finite element method combined with the infinite element method to approach the singular solution in the neighborhood of the singular points, and it is proved that the method possesses the same accuracy as the finite element method to the regular solution
對變系數內邊界問題，介紹了一種特殊的有限元方法。該方法結合了無限元方法，使在奇點附近的奇性解得到好的逼近。證明了該方法具有與有限元方法對正則解相同的精確度。 -
Application of boundary singular kernel method in element free galerkin method
邊界奇異權方法在無網格伽遼金方法中的應用 -
In this paper, we mainly discuss the application of double set parameter finite element method to the following elliptic singular perturbation problem [ 1 ] : where ? is a real parameter such that0 < e < 1
本文主要研究了雙參數有限元方法對橢圓奇異攝動問題的應用，其中是實數且0 1當從1趨向於0時，問題（ 1 -
The characteristic of this model is : a new interface edge singular element model is derived based on the numerical fundamental solutions obtained from the finite element eigensolutions method
該模型的獨特之處在於：基於有限元特徵法得到的奇異性場數值特徵解建立了一種新型界面端奇異單元。 -
Finite element method for a class of nonlinear singular problems
一類非線性奇異問題的有限元方法 -
We designed two kinds of diameter s - shaped curved arteries finite element numerical simulation geometric models in order to study the influence caused by the singular curved factor ( such as the curvature radius, the dean number ) to flow, and extract the characteristic flow form related to the curve
在總結和發展前人成果的基礎上，設計了兩種直徑的s型彎曲動脈有限元數值模擬幾何模型，以考察單一的彎曲因素（曲率半徑、 dean數等）對流動的影響，以提取與彎曲相應的特徵流型。
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