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variational equation in Chinese

Pronunciation:
How to pronounce "variational equation""variational equation" in a sentence

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  • 變分方程

Examples

  • A class of variational equations and the boundednes of its solution
    一類變分方程解的有界性
  • The explict structure of solution of a class of symmetric variational equation by stationary topy
    一類平穩(wěn)型對稱變分方程解的顯式結(jié)構(gòu)
  • Connexion of first integrals with particular solution to the variational equations for birkhoffian systems
    系統(tǒng)的第一積分與其變分方程特解的聯(lián)系
  • 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(zhuǎn)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，采用線性單元，利用galerkin邊界元方法求解。
  • 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
    它采用移動最小二乘法構(gòu)造形函數(shù)，從能量泛函的弱變分形式中得到控制方程，并用罰函數(shù)法施加本質(zhì)邊界條件，從而得到偏微分方程的數(shù)值解。
  • 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
    采用變分方法系統(tǒng)分析了相應(yīng)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(wǎng)格寬度與mrm方法中截斷數(shù)的選取原則，討論了mrm方法中的迭代誤差估計，給出了數(shù)值算例。
  • The governing equations , the corresponding variational equations and equivalent constitutive equations with the numerical expressions of initial stress were developed and applied to the analysis of the deformation of a bar . the conclusions related to the influences of initial stress on the additional deformation , especially to the natural frequency and were obtained
    第四章在平截面假設(shè)下，用變分原理建立了包含初應(yīng)力數(shù)值表征在內(nèi)的附加變形支配方程及相應(yīng)的邊界條件、給出了廣義應(yīng)力、廣義應(yīng)變及等效本構(gòu)方程，凸顯了初應(yīng)力各數(shù)值表征對附加變形的影響。
  • 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(dǎo)變分方程開始，給出了包括接觸邊界條件、殼單元內(nèi)力計算在內(nèi)的全部列式，并列出了識別接觸界面的搜索算法，接觸力計算以及動力響應(yīng)計算的時間積分算法的有關(guān)公式等等。
  • 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(shè)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(yīng)的計算機程序，并給出了具體算例，得到了一些有益的結(jié)論。
  • 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(jù)應(yīng)力變分原理和位移變分原理，導(dǎo)出混合變分方程，并將其轉(zhuǎn)換成狀態(tài)方程，使?fàn)顟B(tài)空間理論和變分原理相結(jié)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。

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