finite element formulation 中文意思是什麼
finite element formulation
解釋
有限單元公式- finite : adj. 有限的；【語法】限定的；【數學】有窮的，有盡的。n. 〈the finite〉 有限（性）； 〈集合詞〉有限物。adv. -ly ,-ness n.
- element : n 1 要素；成分；（構成）部分；分子。2 【化學】元素；【數學】元，素；【機械工程】單元；單體；【無...
- formulation : 編制
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On the basis of complet ' : ly analyses about dual - m ( ) de phase shiftcrs, the finite - element formulation derives the variational principle for non - se1fadjoint electromagnetic problems which is microwave propagaticn in a aniso1ropic media loaded waveguide. then, the variatonal problem is approximated by a matrix eigenvalue problem
在此基礎上，詳細討論了利用有限元分析法這一強有力的工具來分析波導中填充各向異性介質的問題，導出了基於變分原理的泛函和有限元方程。 -
In this paper, at the cut - in spot of beam active vibration control and use the pzt material as the drive component, the main research works can be summarized as follows : 1 ) using the finite element theory, a general finite element formulation of piezoelectric media is derived, the direct and converse piezoelectric effects are considered in the formulation
本文從梁的振動主動控制研究為切入點，利用了pzt材料作為驅動元件，作了如下幾個方面的研究： 1 ）利用有限元理論，考慮壓電材料的正、逆壓電效應的影響，導出了機電耦合壓電元件的有限元方程。 -
By using the eigenfunction expansion technique, a one - dimension finite element formulation is then developed to determine the eigensolutions to the 2d heat conduction problem at the crack tip, which discretizes the sectorial domain circumferenially
利用特徵方程展開方法，可獲得分析裂紋尖端處二維熱傳導特徵解的一維有限元列式。 -
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。 -
The formulation for the flow model is given using the finite element / control volume ( fe / cv ) technique based on darcy ' s law of creeping flow through a porous media. the heat transfer model is based on the two - dimensional, transient heat conduction equation, including heat generation. the cure kinetics model is based on kamal ' s model, and the degree of the resin cure as a function of temperature and time
樹脂流動階段的模擬是根據牛頓流體在多孔介質中的滲流理論，應用darcy定律並使用有限元/控制體技術建立起來的；熱傳遞模型是一個二維瞬態熱傳導方程，考慮樹脂反應放熱；樹脂的固化模型利用了kamal提出的固化動力學方程，將固化度取為時間和溫度的函數。 -
Expanded mixed finite element approximations of the parabolic problems are considered. error estimates for the scalar unknwon, its gradient and its flux in l2 - norm are obtained for this new mixed formulation
通過數值分析進一步說明擴展混合元方法是穩定的，並得到了未知函數、未知函數的梯度和流體流量的l ~ 2 -誤差估計。 -
Based on this fomulation, expanded mixed finite element approximations of the hyperbolic problems are considered. optimal order error estimates for the scalar unknwon, its gradient and its flux in l2 - norms are obtained for this new mixed formulation
給出了逼近未知函數、未知函數梯度和流體流量的最優l ~ 2模誤差估計以及擬最優的最大模誤差估計。 -
At first, the finite element formulation is presented to determine the flutter characteristics of laminated panels at elevated temperature. then both the linear and nonlinear panel flutter characteristics are analyzed. the panel flutter boundaries are finally determined and the effect of temperature, airflow speed, etc, on the panel flutter characteristics is analyzed
為此，本文首先建立了復合材料壁板熱顫振的有限元模型並對受熱壁板的線性和非線性顫振特性進行了研究；最後確定了壁板的顫振邊界，分析了溫度、來流速度等因素對壁板顫振特性的影響規律。 -
Firstly, this paper describes the optimization problem of thermal stress of fabrication process and steady work process for the hollow cylinder and the infinite plate. then, thermal stress distribution is calculated making use of theoretical formulation and the results can be validated by finite element method. in optimization, the restriction condition is heat insulation performance and the objective function is danger coefficient
本文首先對平板結構和圓筒結構梯度塗層在制備過程和穩定工作狀態下的熱應力優化設計問題進行描述，然後分別用解析法求解兩種結構的梯度塗層在制備過程和穩定工作狀態下的熱應力分佈，並採用有限元方法驗證了熱應力分佈的結果，在優化設計時，以危險系數為目標函數，以塗層的隔熱性能為約束條件進行設計。 -
By using vector random field model and second - order perturbation method, viscoelastic stochastic finite element formulation is developed, which can take the correlation of random parameters into account and is suitable for stochastic structural analysis with larger variance of the uncertainties
利用向量隨機場模型和二階隨機攝動方法，給出了相應的粘彈性隨機有限元列式。能夠考慮參數的相關性，更加接近於prony級數的參數測試過程。 -
Finite element formulation of 3 - d heat transfer in orthotropic materials
正交各向異性材料三維熱傳導問題的有限元列式 -
The principal laws of elastic and elasto - plastic materials are presented. formulation of 2 - d isoparametric quadrilateral element is done for finite element analysis
為了進行有限元分析選用了平面四結點四邊形等參數單元，作出了相應的公式推導。 -
In chapter two, we consider the expanded mixed finite element method for the 2nd order parabolic problems this method expands the standard mixed formulation in the sense that three variable are explixitly treated : the scalar unknwon, its gradient and its flux. based on this fomulation
該方法是在傳統混合元基礎上的一種推廣，它能同時逼近未知函數、未知函數的梯度和流體的流量，較好的模擬了帶有混合型邊界條件的二階拋物問題。 -
In this paper, we consider mixed finit element methods for the initial - boundary value problems of two order hyperbolic equations and linear integro - differential equations of parabolic type, obtain the error estimates of the discrete schemes for this two kinds of problems. in chapter one, we consider the expanded mixed finite element methods for the followling 2nd order hyperbolic problems this method expands the standard mixed formulation in the sense that three variable are explixitly treated : the scalar unknwon, its gradient and its flux
本文討論了二階雙曲方程和線性拋物型積分微分方程方程初邊值問題的混合有限元方法，得到了這兩類問題混合有限元離散格式的誤差估計。第一章討論二階雙曲初邊值問題的擴展混合元方法。該方法能同時逼近未知函數、未知函數的梯度和流體的流量，較好的模擬了帶有混合型邊界條件的二階雙曲問題。 -
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。 -
( 3 ) the effects of the bearing parameters on the bearing performance have been numerically analyzed using finite element method. a finite element formulation has been developed. the numerical analysis of finite element has been realized with matlab language
（ 3 ）用有限元法數值分析了懸臂型彈性箔片徑向動壓氣體軸承的結構參數和運轉參數對軸承靜動態性能和穩定性的影響。 -
A finite element formulation ( direct method ) is developed to analyse the magnetic fields in constrained electrical circuits by combining field and circuit equations.
本文採用場路結合的分析法，構造了在這一混合激勵情況下，對電磁場邊值問題進行直接計算的互補有限元方程。 -
Finite element formulation of a steel reinforced rubber tire structure
鋼絲增強橡膠復合材料結構的有限元分析模型 -
Based on the strain energy equation for the three - dimensional continuum, the finite element formulation for large deflection of three - dimensional beam is developed
本文從三維連續體的應變能出發，推導了空間大撓度梁的靜、動力學有限元方程。 -
Abstract : based on spline function method, the spline finite element formulation for the contact - impact problems is proposed. in order to get the formulation, the b3 spline function is used to distribute the contact problem, and numerical examples are analyzed to show the effectiveness of the method. because the spline function has double characteristics including analytical and numerical, and good continuity and high correctness, a little unknown number and high efficiency, the spline functions are used to set the displacement of the bar, and the whole structure equations are constructed directly. it is convenient to analyze dynamic response of the structure by using the method
文摘:用樣條有限元法分析了桿的接觸沖擊動力響應問題，建立了計算格式，並用算例說明該方法的有效性.該方法充分利用了樣條函數的解析和數值雙重性及連續性強的優點來構造桿的位移函數，因此可推廣應用於分析結構在沖擊荷載下的動力響應問題
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