deformation equation 中文意思是什麼

deformation equation 解釋
變形方程
  • deformation : 變形,走樣
  • equation : n. 1. 平衡,均衡;平均,相等。2. 【數學】方程式,等式。3. 【天文學】(時)差;均分,等分。4. 【化學】反應式。
  1. Fist of all, on the basis of the research of agone boffins, this author investigates the interaction mechanism of bolts and rock, and introduces the elastic ? lastic analytical resolution which is consist of the liner structure, the equivalent reinforced wall rock and the original wall rock in the simple loading from the equivalent well - proportioned view ; this solution is very important meaning for the engineering design. on the basis of coulomb friction model, the author introduces the finite element equation of the contact problem in order to provide the academic foundation for the application of msc. marc. finally, combining the engineering practice of the non - linear analysis of shield tunnel through yellow river of the south - north water transfer and using the model of friction, the author researched the evolution law of stress and displacement field in the structure of grouted rock bolts, and analyzed the effect to the stress and deformation of surrounding rock mass due to anchor supports

    首先,在前人研究成果的基礎上,對錨桿與圍巖的相互作用機理進行研究,利用全長錨固錨桿的中性點理論,從等效均化的角度來考慮錨桿對圍巖的加固作用,並推導了在簡單荷載作用下,含有襯砌、等效加固后的圍巖、原始圍巖三者的彈塑性解析解,對工程設計有著重要的參考意義;在數值模擬方面,以考慮錨固圍巖滿足規則化庫侖摩擦模型為基礎,利用虛功原理推導了接觸問題的有限元方程的計算格式,為開發運用大型商用有限元軟體msc . marc提供了理論根據,也形成了本文的理論基礎:最後,論文以南水北調東線穿黃隧洞穩定性分析項目為工程實例,利用本文所述的接觸問題的摩擦模型理論,對錨桿支護結構的應力場、位移場的變化規律進行了研究,分析了加錨支護對隧洞圍巖應力、變形的影響。
  2. The fatigue behavior of strength, stiffness, and deformation of concrete is analysed systematically. the fatigue equation is established. the empirical expressions of the total longitudinal strain and the elastic modulus are given, and the relationships between the increasing rate of the total second - stage strain and the decreasing rate of the elastic modulus with the cyclic number are obtained

    系統地分析了砼抗拉、拉-壓疲勞強度、剛度、變形規律;建立了相應的s - n關系,提出了縱向總應變、彈性模量的經驗公式,及其第二階段總應變增長率、彈性模量衰減率分別與疲勞壽命的關系式。
  3. We first set up the hiberarchy of the nmm ’ s visualization and focus on the study of pem ’ s visual process. then the coupling equation of pem is deduced and a rapid algorithm for solutions of bordered tridiagonal linear equations is put forward. in the last of the thesis, elementary system of deformation geometry unified for manifold ’ s structure is studied primarily via the idea of unified modeling and some theoretic results for analytical visualization are given out under the system of frenet frame of arbitrary parameters

    文章結合nmm的基本原理和特點,研究了nmm可視化的有關理論和方法;文章首先建立了nmm可視化的層次結構,重點對面素單元法( pem )的可視化過程進行了細致研究,推導出了pem的耦合方程,然後給出加邊三對角方程組的一種快速求解演算法,最後還從統一建模的思想對統一于流形結構變形幾何的基本體系進行了初步研究,得到了任意參數形式下frenet標架體系的若干適用於解析可視化的理論結果。
  4. On the other hand, the conformal deformation ' s problem is to find a metric on h2 ( - 1 ), conformal to g, with the given function k as its gaussian curvature, that is, it is important for us to study the solvability of the conformal gauss curvature equation in geometry analysis. the problem that the conformal gauss curvature equation may have a solution for every nonegative holder continuous function k ( x ) is also an open problem

    ) = e ~ ( 2u ) g使k是( ? )的高斯曲率,即共形高斯曲率方程的可解性研究是幾何分析中的一個重要問題。當預定的函數k取正值時,共形高斯曲率方程解的存在性命題作為一個猜測至今未得到解決。
  5. A void growth equation is derived for elastic - plastic deformation process by means of representative volume element ( rve )

    摘要採用體胞模型的分析方法推導了材料在彈塑性變形階段的孔洞增長方程。
  6. This paper analyzes and explores stress strain model and principle of the project of concrete diaphragm wall after concluding other engineers and project practices and describing the seepage and deformation character of the plastic concrete used in the cofferdam of the second stage of the three gorges project. we analyze and forecast the change trend by using mathematics statistics regression, then we get the best regression equation. finished it, we used this way to the cofferdam of the second stage of the three gorges project. it proves that the method which i have introduce in this article is effective for the stability of concrete diaphragm wall and it is also a valid for supervising cofferdam security after using it in many projects

    本文在總結前人和其他工程實踐的基礎上,結合三峽二期土石圍堰實例綜合分析塑性混凝土防滲墻的滲透和變形特性,對三峽二期圍堰砼防滲墻的應力應變模型、原理進行了分析、探討,在監測分析資料的基礎上進行數學統計回歸分析,並對變形進行預測,通過對砼防滲墻及堰體的應力應變監測數據進行數學統計回歸分析,得出了最佳回歸方程,並對三峽二期圍堰變形進行預測,達到了對圍堰安全性監測評價的最佳效果。
  7. The corresponding control equation is given. the control equation and boundary condition about the addiontional small deformation ' s effect caused by initial stress using virtual principal theory in cylindrical reference frame. generalized stress and strain and equivalent constitutive equation are given

    第四章提出了描寫柱形薄殼中初應力的數值特徵,將應力的三維分佈轉化為二維分佈,給出相應的支配方程;在柱坐標系中,利用虛功方程建立了初應力對附加小變形影響的控制方程和邊界條件;給出了廣義應力、廣義應變及等效本構關系。
  8. According to elasto - plasticity theory, with the help of finite - method program ansys, the paper undertakes the computer analogue tests about the bearing capacity of pile tip arranged by orthogonal principle, and attains the relations of pile - tip bearing capacity to embedment depth, pile diameter, cohesion, internal friction angle and modulus of deformation. by the means of mathematical statistic, regression equation of the ultimate bearing capacity calculated by finite element method is gained through the regression analysis of 81 group data from the computer analogue tests. by comparison and analysis of the values calculated by finite - element regression equation and the values of in situ loading test, the regression equation is gained which calculates the size effect for base resistance of large diameter pile

    根據彈塑性理論,運用大型有限元軟體ansys按正交設計理論對樁端承載力進行模擬計算,獲得樁端承載力與樁長(埋置深度) 、樁徑、粘聚力、內摩擦角及變形模量等主要影響因素的關系,並採用數理統計方法,對81組ansys模擬試驗結果數據進行回歸分析,得到有限元法確定樁端極限承載力的回歸公式,並將有限元法回歸公式計算值與現場小壓板載荷試驗值進行比較分析,得到大直徑樁端阻的尺寸效應系數計算公式。
  9. According with the characteristics of pore water seepage and soil deformation, the 1 - d rebound anti - consolidation model is set up. then the anti - consolidation differential coefficient equation is deduced and the corresponding a nalytical solution is obtained. in succession using the above theory, the influence to effective stress area ratio of some factors, such as preloading time, surcharge ' s magnitude and the depth of vertical drain

    針對卸載后淺部地基孔隙水滲流和土體變形特性,建立了軟土地基一維回彈吸水固結模型,推導了吸水固結微分方程,並求出了方程的解,同時,給出了回彈變形計算公式。
  10. 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。
  11. The specimen of the test was stimulated by viscoelastic model and the wheel load was stimulated by special function, which are brought into viscoelastic equation. after solving the equation, we can work out the theoretical answer. thus we can figure out the ds and the deformation curve

    本文應用粘彈性理論研究車轍試驗,應用粘彈性模型模擬車轍試驗的試件,擬合車轍試驗的輪載,帶入粘彈性本構方程,獲得理論解,從而獲得車轍試驗的變形曲線和動穩定度值。
  12. Using mathematic and physical statistics and regression analysis of observed deformation data, stress - strain model for the rheological deformation of soft clay was established, and the regression equation for the rheological deformation was obtained. the model and regression equation can be used to predict the development of rheological deformation. 3

    對上海地區的軟粘土流變變形建立應力-應變本構模型,並利用數理統計原理對變形觀測值進行回歸分析,建立流變變形的回歸方程,可以用於預測流變變形的發展; 3
  13. The 16 - node degenerated iso - parametric element is proposed for the analysis of raft foundation with mid - thick plate. the stiffness matrix of single pile among the pile group can be founded assuming the total contact between the plate and the foundation. and the results of stress and deformation of plate, the force on pile and the settlement of pile bottom can be solved after the finite element disperse for the plate and the establishment of balance equation of pile - raft interaction

    在引入16節點退化等參元的中厚板筏板分析模型的基礎了,假定筏板與地基間完全接觸,建立了群樁中單樁樁身剛度矩陣,繼而對筏板進行有限元離散得到樁筏共同作用的平衡方程,從而求解筏板內力、撓度、樁頂反力、樁端沉降等一系列結果。
  14. A nonlinear numerical model for wave transformation is established in time domain based on integral equation transformed from two dimensional laplace equation. then the model is applied to compute the linear wave and nonlinear wave deformation in offshore flow field. a new 0 - 1 combined bem ( boundary element method ) is adopted in this thesis to avoid computational errors accumulated with time steps

    本文以波動勢函數的laplace方程的green積分轉換得到的邊界積分方程為基本控制方程,建立了一種新的時域內波浪變形計算的數值模型,籍此對非線性波浪在結構物周圍的波浪形態進行了數值模擬,並通過數值造波水槽內的波浪試驗對數值模擬結果進行檢驗。
  15. The apparent activation volume calculated by the model is about 2500a3, which was ten times larger than that of usual amorphous alloy and was at the same range of the amorphous polymer. the model shows the main deformation mechanism of nanocrystalline ag is grain boundary sliding, which in some extent declares the similar forms of equation with amorphous alloys. with the ananlysis to the hrem of nanocrystalline ag, the discrepancy of the apparent activation volume between the nanocrystalline ag and amorphous alloys is interpreted by the loss of atoms participating in grain boundary sliding without enough reconstruction by the movement of atoms under the low temperature

    運用晶界滑移的熱激活理論對壓縮實驗結果進行了數值擬合,擬合曲線與實驗數據符合很好,得到了晶界滑移的表觀激活體積(熱激活基本單位體積與局域瞬態應變的乘積) ,約為2500a ~ 3 ,先當于幾十個原子體積大小的瞬態變化,約為非晶合金的10倍以上,與非晶高聚物的表觀激活體積相當。
  16. The control equation consist of completely coupled deformation equation, seepage equation, conduction and convection equation of heat, which describe the reservoir non - liner performance. 2, present the detailed strategy and methods to solve this mathematics model, the basic strategy as follows : regard the deformation equation ? seepage equation conduction and convection equation of heat as separate system, and solve the equation by coupling and iterative method ; disperse the control equation in the geometry field by the finite element method ( galerkin ), and in the time field by the finite difference method : programme the computer program on this task ; when the solving, take the combinative measures of the thick and thin mesh ; successfully carry out the numerical simulation in vast 3d heat extraction system of hdr

    2 、提出了高溫巖體地熱開發的固、流、熱多場耦合數學模型的數值解法,其基本的求解策略是:將固體變形,流體滲流與溫度場方程看成獨立的子系統,耦合迭代求解;利用有限元離散( galerkin )方法將控制方程在幾何域上離散,並用差分法得到時間域上的離散方程,並在此基礎上,編制了相應的計算機源程序;有限元求解中,為減小邊界效應的影響,在計算中採取粗細網格結合的方法,順利地實現了高溫巖體地熱開發三維巨系統的數值模擬。
  17. The relation between rheological breaking ratio and plastic work is set up according to the equation relation between outer plastic work and energy of plastic deformation. it is helpful to the understanding of elasto - plastic constitutive relationship of rockfill and braking of particles. based on analysis of test result, in - site observation data, this paper put forward a quantitative relation between rheology and valley shape, rockfill mechanical parameters, such as dry density, compressive modulus, softening factor, pore ratio, etc. the main factors influencing the rheological behavior of rockfill can be classified into inner factors and outer factors

    堆石作為面板壩的主體,影響其流變的因素頗多且十分復雜,既有內因也有外因,根據試驗、原型觀測資料對內外因素所做的分析,本文提出了流變與河谷形狀等外因、流變與壩體常規物理力學指標等內因的定量關系和影響堆石流變的多因素綜合表達式,由此建立了堆石流變與堆石常規物理力學指標(如干密度、壓縮模量、軟化系數、孔隙比等等)之間的聯系。
  18. Firstly, with uniaxial symmetrical rectangle cross section, the warping displacement function and tangential displacement function under anti - symmetrical load are supposed. then taking shear deformation into account and with potential principle, the governing differential equation for distortion angle subjected to uniformly distributed distortion load is established

    首先,以單軸對稱矩形截面薄壁桿件為研究對象,假設其在反對稱荷載作用下翹曲位移和切向位移的分佈函數,考慮剪切變形的影響,利用最小勢能原理建立單位均布畸變荷載作用下的畸變角微分方程。
  19. In present dissertation, firstly an analytical study on the force and deformation of an er single chain under poiseuille flow is presented from the point of microscopic view. an approximate solution of the poiseuille flow in a tube with rectangular cross is derived from galerkin approach. the balance equation of moment for the er chain is established to avoid using point - dipole model, which is not accurate enough in the case that dielectric particles are adjacent to each other

    本文首先從微觀的角度,分析電流變鏈在poiseuille流動中的受力以及變形,分析過程中推導了矩形截面管內poiseuille流動速度分佈的galerkin近似解,並採用理論力學軟索模型對電流變變鏈的受力進行分析,從而避免了點偶極子近似在粒子相距較近情況下引起的誤差。
  20. There are two parts in this paper. in the first part, the deformaion behavior of soil loaded is analyzed. then we construct the equation that considers the lateral deformaion of the settlement of foundation which is loaded by rectangle vertical equal loading through recongnizing the characteristics of deformation

    本文主要由兩部分構成:第一部分是在我們分析了土體受壓后的變形特性,並在對其變形性質認識的基礎上,建立了矩形面積均布豎向荷載下考慮側向變形的地基沉降計算公式。
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