variational equation 中文意思是什麼

variational equation 解釋
變分方程
  • variational : 變化的
  • 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. Therefore it is started with the derivation of variational equation, full formulations including contact boundary conditions, internal forces of shell element are given, and the algorithms for contact - surfaces searching, contact - force computation, and even time integration for the response computation are listed as well

    為此，文中從推導變分方程開始，給出了包括接觸邊界條件、殼單元內力計算在內的全部列式，並列出了識別接觸界面的搜索演算法，接觸力計算以及動力響應計算的時間積分演算法的有關公式等等。
  2. 4. the algorithm solving an optimal control problem governed by a semilinear parabolic equation with the control in the coefficients and source term is studied. the strong variational method which presented by mayne to solve the optimal control of lump parameter system is developed to semilinear parabolic optimal control problem

    4 、把由mayne等所提出的用於求解集中參數系統最優控制的強變分法，推廣應用於一類控制變量含于高階導數項系數與源項中半線性拋物型系統最優控制之中。
  3. Author, starts from the one - way wave equation of wavefield extrapolation, research the relationship and transform condition of wavefield extrapolation operators, and propose the steady variational reference slowness rytov approximation general screen wavefield extrapolation operator ( vrselrf ) which can adapt severe lateral velocity variations, in frequency - wavenumber domain, and the improved wavefield extrapolation scheme, also give the method to improve the computation efficiency. the achievement establishes the theoretic basis of the whole research

    首先，從波場延拓的單程波方程出發，系統地研究了頻率波數域的波場延拓運算元之間的相互關系和轉換條件並在此基礎上提出了能適應劇烈橫向變速的頻率波數域穩定的變參考慢度rytov近似廣義屏波場延拓運算元（ vrselrf ）和部分波場延拓改進方案及提高運算效率的措施，為整個研究打下理論基礎。
  4. Firstly, under the condition of constant viscous dissipation, the field coordination equation was induced for steady laminar convective heat transfer by the conditional variational principle based on the extremum principle of heat transport potential capacity dissipation

    首先在粘性耗散一定的條件下以熱量傳遞勢容耗散取得極值為優化目標，運用變分方法導出了層流對流換熱場協同方程。
  5. In efgm, in order to get a numerical solution for a partial differential equation, the shape function is constructed by moving least squares ( mls ), the control equation is derived from the weak form of variational equation and essential boundary conditions are imposed by penalty function method

    它採用移動最小二乘法構造形函數，從能量泛函的弱變分形式中得到控制方程，並用罰函數法施加本質邊界條件，從而得到偏微分方程的數值解。
  6. Nonlinear electric field transient finite element equation is performed based on the backward euler method and the variational principle

    摘要基於後退歐拉法和變分原理推導了非線性電場的暫態有限元方程。
  7. In the buckling question under nonconservation force, a simply example ( the dynamic stability question under the uniformly follower forces with small deformation % linear elastic, straight normal. ) is considered. the variational equation of braid composite cylindrical shells subjectd to uniformly follower forces is deduced based on the variation principle of quasinatural frequency of elastic nonconservative system self - excited vibration. the calculated formulas of the flutter load and quasinatural frequency of shells are obtained. the program for calculating the flutter load is developed. the numerical example is given and some useful conclusions are obtained

    對非保守力作用下的屈曲問題，具體研究了圓柱殼在比較簡單的情況，即小變形、線彈性、直法線假設下在隨動力作用下的殼屈曲問題，由擬固有頻率變分原理推出了圓柱殼受隨從力作用的變分方程，得到了顫振載荷與殼彎曲的固有頻率的計算公式，編制了相應的計算機程序，並給出了具體算例，得到了一些有益的結論。
  8. Schrodinger equation, bound states, hydrogen atoms, wave packets and uncertainty relations, wkb approximation, principle of quantum mechanis, perturbation theory, variational method, spin and angular momentum, scattering theory

    薛丁格方程、束縛態、氫原子、波包及測不準原理、 wkb近似、量子力學的原理、微擾論、變方法、自旋與角動量、散射論。
  9. In order to implement efg method through computer program, the discrete equation from the variational principle ( weak form ) and the numerical implementation are described

    再次，論述了無網格伽遼金方法的位移近似函數和權函數，給出了變分方程及離散方程，以及數值求解的實現。
  10. The origin of variational inequality can be traced back to the study concerning partial differential equation by stampacchia and hartman in the i960 " s. however, variational inequality was developed as a means of studying partial differential equation

    變分不等式的起源可以追溯到二十世紀六十年代stampacchia與hartman關于偏微分方程的研究，而變分不等式是作為研究偏微分方程的一種工具出現的。
  11. Applying variational method we analyze the existence and uniqueness for the solution of the corresponding boundary variational equation, truncated mrm boundary variational equation, and approximation truncated mrm boundary variational equation in detailed. we obtain the error estimation for various approximation solutions and construct the boundary integral method with constraint. we explain the principle for choosing the mesh size and the truncated number in mrm. finally the numerical examples show that the theoretical analysis is accord with the numerical experiment result

    採用變分方法系統分析了相應問題的邊界變分方程，截斷的mrm邊界變分方程與近似截斷mrm邊界變分方程解的存在唯一性，解釋了網格寬度與mrm方法中截斷數的選取原則，討論了mrm方法中的迭代誤差估計，給出了數值算例。
  12. The explict structure of solution of a class of symmetric variational equation by stationary topy

    一類平穩型對稱變分方程解的顯式結構
  13. The adjoint equation in variational assimilation

    變分同化中的伴隨方程
  14. Based on the theory of thin - walled curved bar, reasonable hypothesized a third - ord parabolic curve, the paper adoptes variational method on energy, taking the coupled relationship of the effect of curvature radius, bend, torsion and shear - lag into consideration, establishes the elastic governing differential equation and boundary conditions for thin - walled curved box girders, which set the foundation of theoretical analysis of shear - lag effect in thin - walled curved box girders

    摘要文章以薄壁曲桿理論為基礎，合理地假設了三個剪力滯翹曲位移函數，應用能量變分法推導出考慮曲率半徑影響、彎、扭、剪力滯耦合的曲線箱梁彈性控制微分方程及其邊界條件，為薄壁大麴率箱梁剪滯效應建立了理論分析基礎。
  15. By the complicated mathematical calculating, we obtain the energy equation of charged excitons, from which we can determine the variational parameters a and, thus the complex energy of charged excitons can be calculated, and the binding energy and correlation energy of charged excitons can be obtained versus the quantum well width

    通過復雜的數學推導得到帶電激子體系能量的數學表達式，對變分參數和變分可確定出變分參數和，從而得到體系能，進而計算出體系的束縛能和相關能隨阱寬的變化。
  16. At first, according with the fundamental theory of complementary variational method, the complementary fem is constructed by the introduction of t - q to satisfy the equation of secondly

    首先，根據互補變分原理，構造了基於t ?變量的互補有限元法，從而滿足了應用互補有限元法計算電磁參數時，必須保證基本關系式h = j恆成立這一前提。
  17. The variational inequality has close relations with the theory of extreme value theory and partial differential equation, therefore, it has been extended to infinite dimensional space during the progress of relevant studies

    他們研究的變分不等式具有如下形式：這種變分不等式與極值理論和偏微分方程都有密切聯系。因此人們在研究中已經把它推廣到了無限維空間。
  18. According to the stress and displacement variational principle, the mixed variational equations are established from which the state equation is established. thus, the theory of state space is combined with variational principle and the variational solutions are presented under arbitrary loads for transverse isotropic orthortropic bodies on general boundary conditions. thick plates on winkler ' s foundations are researched thoroughly

    本文根據應力變分原理和位移變分原理，導出混合變分方程，並將其轉換成狀態方程，使狀態空間理論和變分原理相結合，給出了一般邊界條件下橫觀各向同性和正交各向異性體在任意荷載作用下的變分解。
  19. A variational formula combining mixed finite element method with discontinuous finite element method is derived for solving the two - group neutron diffusion equation in 2d

    摘要構造了求解二維兩群中子擴散方程的混合間斷有限元格式，研製了相應的計算程序。
  20. In this paper, the boundary problem of laplace equation is changed into the variational equation which is equivalent to the boundary integral equation. using linear element, it is solved by galerkin boundary element method

    本文把laplace方程的邊值問題轉化為邊界積分方程后，通過與邊界積分方程等價的變分形式，採用線性單元，利用galerkin邊界元方法求解。
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