equation of evolution 中文意思是什麼

equation of evolution 解釋
發展方程
  • 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。
  • of : OF ＝Old French 古法語。
  • evolution : n 1 發展，發育；開展。2 （氣體等的）放出；散出，放出物，散出物。3 發生；演變；【生物學】演化，進...
  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. In this pater, we define a new numerical method called the characteristic mixed finite element method for approximating the solution to two kinds of evolution equation

    本文針對兩類發展方程提出一種新型數值模擬方法? ?特徵混合有限元方法。
  3. The convert and evolution course of periodical response, quasi - periodical response, double - periodical bifurcation, chaos of the system response is analyzed. ( 3 ). it is deduced that the general differential equation of bending - torsional - pendular coupling vibration about rotor with the gyroscopic moment

    （ 3 ）推導了一般意義下，考慮陀螺力矩的單盤轉子彎扭擺耦合振動非線性方程，基於該方程，推出了不平衡轉子和碰摩轉子的非線性彎扭擺耦合振動方程。
  4. Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations

    第三部分：在一維情形，我們考慮了一類帶導數項的ginzburg ? landau方程，通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計，證明了當粘性系數趨于零時， ginzburg ? landau方程的解逼近相應的帶導數項的schr （ ? ） dinger方程的解，並給出了最優收斂速度估計；在二維情形，我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性，以及在某種特殊情形下， gl方程的解趨近於相應的帶導數項的schr （ ? ） dinger方程的弱解；在一般情形下，我們討論了一類ginzburg ? landau方程的非齊次邊值問題，通過幾個積分恆等式，同時估計解的h ~ 1模及法向導數在邊界上的模，證明了整體弱解的存在性。
  5. Firstly, we introduced the main idea, the formalized description, and the basic flow of co - evolution algorithm. then, from the point of pattern analyzation, we established the mathematics model of the multi - population co - evolution algorithm based on pattern replicator equation of the single population genetic algorithm, and made the theoretical analysis and compare for the method of best choice and the method of random choice of the co - evolution algorithm. we put forward a new method for the individual fitness evaluation, and validated the performance of the new method by the simulation experiment

    首先，在介紹了協進化演算法的核心思想、形式化描述和基本演算法流程的基礎上，從模式分析角度出發，建立了基於模式復制方程的多群體協進化演算法數學模型，對協進化演算法中的最優選擇法和隨機選擇法進行了理論分析與比較，提出了一種新的個體適應度評價方法，並通過模擬實驗驗證了新方法的效率。
  6. The law of cumulative damage and its evolution equation of concrete under uniaxial tension with constant amplitude is established, and the validity of which is verified by the test results of variable amplitude loading

    定義了損傷變量，得到了損傷積累和演化規律。建立了疲勞損傷模型，並用變幅疲勞試驗結果驗證了模型的有效性。
  7. According to the model of structure fatigue damage fractal evolution, the relation between macro - damage variable, fractal damage variable and fatigue life can be found, and the fatigue damage evolution equation of ti alloy tc11 welded joint can be built, and the method of more forecast fatigue damage is given

    根據結構疲勞損傷分形演化模型，通過對tc11鈦合金焊接試件的疲勞試驗和疲勞斷口分維數測量，得到了宏觀損傷變量和分形損傷變量與疲勞壽命的關系，建立了tc11鈦合金焊接接頭的疲勞損傷演化方程。給出了進一步疲勞損傷量預測的方法。
  8. Aiming at the shortages and demerits in the study of constitutive relationship of concrete based on elastic - plastic mechanics, damage expressions of concrete subjected to uniaxial tension - compression was deduced based on damage mechanics, and general damage evolution equation of concrete in bending state was received also

    摘要針對彈塑性力學研究混凝土本構問題帶來的不足和缺陷，運用損傷力學的方法，導出混凝土在單軸拉、壓狀態下的損傷表達式，得到了混凝土在彎曲狀態下的統一的損傷演化方程。
  9. Essential to their utility is the requirement that the evolution of the basic functions through the propagation environment constitutes a simplified problem with an exact or approximate closed form solution to the original wave equation. the evolution of a spatial fourier harmonic through a homogeneous medium is governed by a reduced wave equation, obtained by applying the fourier transform to the helmholtz equation, with a simple and well - known solution - the plane wave

    這些方法均採用一組具有全局特性的基本函數對波場進行分解，如占據整個空間的富氏調諧函數或充滿各個方向的dirac函數（點源） ，並通過求解基本函數滿足波動方程的精確解或近似解來達到波場外推的目的。
  10. Sufficient test data were acquired for investigating the damage and constitutive behavior of concrete. second, according to the fitting of experimental data, the evolution equation of damage is obtained. the main factors affecting the damage development are examined and the causes are expounded

    其次，通過對試驗結果的非線性回歸分析，得到損傷演化的經驗表達式，並以此為依據，分別深入地研究了混凝土在經歷過常規三軸受壓和三向等壓等荷載歷史后，抗壓強度和抗拉強度隨荷載歷史增加而發生劣化的演化規律。
  11. First according to the fact that tangential components of the evolution do not affect the geometric shape of the evolving curves, we introduce the evolution equation of geometric quantities for the general planar curves. then we describe the work of gage - hamilton briefly. last we consider a special curvature flow of curve which evolves with speed function of the principal curvatures along the inner norm and show that convexity of the curve is kept and its length and area are contracted if the initial closed curve is smooth and convex. so the final shape of the curve will be a point in finite time

    首先根據曲線在切向分量上發展是不影響曲線的發展形狀，我們引入了曲線的一些幾何變量的發展方程；其次我們簡要地回顧gage - hamilton研究曲線發展的一般步驟；最後我們考慮沿曲線的內法線以曲率的函數為發展速度的一類特殊的曲線族，證明了在初始曲線為凸的閉平面簡單曲線條件下，曲線將保持凸的，並且它的面積和周長將同時收縮，並在有限時間內成為一個點。
  12. An n - fold darboux transformation with multi - parameters for coupled nonlinear evolution equation of multi - component hierarchy is set up with the help of a gauge transformation of the spectral problem, from which the exact solutions of the nonlinear equations are given

    摘要利用等譜問題的規范變換，為一對耦合的非線性演化方程建立了一個具有多個參數的n -波達布變換，進而求出了該方程的精確解。
  13. Using the formulized approach to the su ( 1, 1 ) h ( 4 ) time - dependent system, which is derived from the combination of the formulation of the time - dependent bogoliubov transformation and the evolution equation of the system, we obtain the time evolution operator, state function and heisenberg uncertainty relation of the parametric oscillator with cavity losses under the weak coupling approximation. we also discuss the squeezing property of the system

    本文利用含時波戈留波夫變換與時間演化方程相結合得到的求解su （ 1 ， 1 ） ? h （ 4 ）量子系統的時間演化算符和演化態的普遍公式，我們導出了帶腔損耗的參數振子在弱耦合近似下的演化算符，態函數和不確定乘積，並討論了系統的壓縮特性。
  14. We mainly investigate the second kind. linear stability analysis and numerical simulations will be used, and the evolution equation of a nonlinear resonator filled with kerr medium, the mean - field model for a nonlinear resonator filled with two - level atomic medium, second - harmonic generation system ( shg ) with quadratically nonlinear material, complex ginzburg - landau equation ( cgle ), and coupled map lattice model ( cml ) will be considered in this dissertation. the paper can be divided into three parts : pattern formation, pattern selection and control of stc, the synchronization and applications of stc

    以含有kerr介質非線性光學諧振腔發展方程、含有二能級原子介質的非線性光學諧振腔平均場方程、含有x ~ 2介質的光學二次諧波產生系統模型、及復金茲伯格?朗道方程和耦合映射模型等動力學系統為例，採用線性穩定性分析及數值實驗方法，研究了斑圖形成、斑圖的選擇和時空混沌的控制、時空混沌的同步及其在保密通信方面的應用等三大部分內容。
  15. Based on the damage evolution formation depicted by kachanov of brittle materials in unitary stress state, in this dissertation, the constitutive equation of nonlinear damage material is given, macroscopically, on the assumption that damage variable is exponential relation to strain, d = ( gy i k ) ", where g is the shear module, k is the damage module and the y is the effective strain, d is damage variable and n is hardening exponent

    在kachanov描述的一維應力狀態下的脆性材料的損傷演化模型的基礎上，文中給出非線性損傷材料的本構方程，唯象地假設損傷變量與應變成冪次關系， d ~ * = （ g / k ） ~ n ，其中g為剪切模量， k為損傷模量，為有效應變因子， d為損傷變量， n為硬化指數。
  16. Evolution equation of two - dimensional shear interfacial waves of falling liquid films

    下降液膜二維剪切表面波的演化方程
  17. The model has been generalized to the condition with dissipation, which is an effective work of mine, and the evolution equation of the density operator is present

    此外，我的一個有效工作是還把該模型推廣到有環境耗散情形，引入系統密度矩陣的演化動力學方程。
  18. Evolution equation of viscoelastic medium and exact solutions for generalized thermodynamic forces

    粘彈性體發展方程中關于熱力學廣義力精確解
  19. Exact solutions of evolution equation for generalized thermodynamic coordinates of viscoelastic medium

    粘彈性體發展方程關于熱力學廣義坐標的精確解
  20. Starting from maxwell ' s equations, the paraxial propagation equation of intense laser light in ionizing gases is derived and is analyzed by means of the source - dependent expantion ( sde ) method. an equation governing the evolution of the laser beam redius is obtained, based on which we analyze the ionization - modulation ( im ) instability. then, a vectorial, nonparaxial propagation equation is established, and the mechanism of energy loss during the propagation is analyzed

    首先從maxwell方程組出發推導出強激光在電離氣體中傳輸的傍軸傳輸方程，利用源展開方法對傍軸傳輸方程進行分析，得到光束半徑的演化方程，從而討論傳輸過程中的電離調制不穩定性；再建立矢量非傍軸模型，並討論氣體電離產生等離子體所引起的激光能量損耗機制。
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