variational principle 中文意思是什麼
variational principle
解釋
變分原理- variational : 變化的
- principle : n. 1. 原理，原則。2. 主義；政策；〈常 pl. 〉道義；節操。3. 本質，本體，根源；本原，源泉。4. 本性，本能；天然的性能；天賦的才能；動因，素因。5. 【化學】素，要素；精。
-
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。 -
Many scientists and mechanists, such as euler, prager, green, ericksen, hill, truesdell, eringen, made great contribution in this field and developed a general theoretical system. however, there still remain a lot that should be further investigated. this thesis discusses the linear theory of field of elastic solids subjected to additional deformation, and the corresponding virtual work equations and the displacement - based variational principle
本文第一章述評了由euler開創的，經prager 、 green 、 ericksen 、 hill 、 truesdell和eringen等學者發展並成功應用的附加變形或運動的思想，作為后續各章的基礎。 -
Based on the generalized variational principle of the modificatory variables and substituent shearing strain field interpolation of the bending theory of the mindilin plate, this paper brings up the nine - node mixed plate bending element and adopts the sap2000 ? a large - scale finite element analysis programs. by the examples, we find the precision of the method is satisfying
在對轉換層厚板進行局部有限元分析時，本文提出了基於mindlin中厚板彎曲理論的修正的二類變量廣義變分原理和替代剪應變場插值方法的九節點厚薄板通用的板彎曲單元，並採用了sap2000有限元程序。 -
Based on the " size " of the set of perturbed minimal points in the variational principle, the differentiability of lower semicontinuous functions is examined by means of approximation of the infconvolution sequence
摘要通過函數的下卷積函數列的逼近方法，在變分原理中從擾動最小值點集的「大小」入手，研究了下半連續函數的可微性。 -
The governing equations of the problem are derived in hamiltonian form by using variable substitution and variational principle. then the methods of separation of variables and conjugate symplectic eigenfunction expansion are developed to solve the equations of plate bending problem. the result can be derived by analytical method
在平面彈性問題中，由變量代換及變分原理，方程可導向哈密頓體系，從而通過分離變量法及共軛辛本徵函數向量展開法，以解析的方法來進行求解。 -
But this universe wavelet fem displays its superiority only in regulation figure fields. through the processing of solving beam, plate and shell in structure must transit generalized variational principle respective, so the commonality is difference. the displacement functions in usually fem are constructed with wavelet functions, then the form functions expression with wavelet functions
但是這種全域的小波有限元方法僅在具有規則形狀的區域內求解時才能顯示出它的優越性;同時，通過它對結構中的梁、板、殼的求解過程可以看出，都是要通過各自的廣義變分原理刁 -
Step - by - step integration method based on gurtin variational principle of displacement model
變分原理的逐步積分法 -
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。 -
Space stiffness matrix of t - shape, l - shape and - shape short - leg shear wall is derived by virtual work principle and variational principle
利用虛功原理和變分原理分別推導了t形、 l形和一字形截面的短肢剪力墻空間單元剛度矩陣。 -
The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where, m : [ 0, t ] - s ( rn, rn ) is a continuous mapping in the space s ( rn, rn ) of symmetric real ( n x n ) - matrices, such that for some u > 0 and all ( t, z ) [ 0, t ] x rn, ( m ( t ) x, x ) > u | x | 2. a s ( rn, rn ), f : [ 0, t ] x rn r is continuous and f : [ 0, t ] xr r exists, is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem. we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional. our work improves the existed results. we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem, and the functional does not need the condition of constant definite. at last, we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem
（ ? ， ? ）為r ~ n中內積， | ? |為對應范數。 f [ 0 ， t ] r ~ n r連續， ? f （ t ， x ）存在且連續， h l ~ 1 （ 0 ， t ； r ~ n ） 。利用ekeland變分原理和鞍點定理討論了該系統周期解的存在性，把非線性項和位勢函數放寬到一類無界函數，推廣了這方面工作的一些已有結果；利用廣義鞍點定理和lusternik - schnirelman疇數理論得到了該系統的多重周期解，取掉了泛函的常定要求；最後利用對稱山路定理得到沒有擾動時系統的無窮多周期解。 -
A new four - node axisymmetric element ach8 is derived based on the combined hybrid variational principle, which uses wilson ' s displacements and linear stress suffering from energy compatibility. the resulting element exhibits excellent results in displacements and stresses and is suitable for nearly incompressible materials without any locking phenomena, insensitive to mesh distortion
本文首先基於組合雜交變分原理推導出4節點的軸對稱元ach8 ，其位移插值採用wilson非協調位移模式，應力在等參坐標系下採用關于wilson位移完全能量協調的不完全線性多項式。 -
Combining the stochastic variational principle with the thin - walled box girders theory, the one - dimensional stochastic finite element method for thin - walled box girders is proposed. 2
結合隨機變分原理和薄壁箱梁理論，推導出薄壁箱梁隨機分析的一維離散隨機有限元法。 -
The variational principle and application of
數值流形方法的變分原理與應用 -
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。 -
Abstract : in this paper, the generalized variational principle of ela stic and plastic problem with finite displacement is derived by means of semi - in verse method
文摘:利用半反推法，導出了彈塑性有限變形率形式的廣義變分原理 -
Combined hybrid functional is a special saddle point variational principle, which is based on a weighed average of two systems of saddle point conditions corresponding to domain - decomposed hellinger - reissner variational principle and its dual
組合雜交變分原理是一種特殊的鞍點型變分原理，它由基於區域分解的hellinger - reissner變分原理及其對偶變分原理的優化條件加權組合得到。 -
Since fem is very easy to be written into computer programs and widely effective to most kinds of mechanical problems, fem has been developed very quickly under the requirements of industry since its concept appeared in 50 ' s last century. based on hu - washizu variational principle, t. h. h
自上個世紀五十年代出現有限單元概念以來，有限元方法因其特別適合在計算機上實現，並對各種力學問題表現出廣泛的適用性，因而在工業應用需求的推動下，一直得到廣泛的關注，發展非常迅速。 -
The interpolating wavelet bases are constructed in order to deal with boundary conditions conveniently at first. then the wavelet bases of duality in product form are used to construct the generalized field functions of beam, plate and shell. the model of multivariable wavelet fem is built by hellingger - reissner and hu - washizu generalized variational principle
首先構造了便於邊界條件處理的插值小波基，應用乘積型二元插值小波基來構造梁、板、殼的廣義變量場函數，通過二類、三類變量廣義變分原理建立了多變量小波有限元模型。 -
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。 -
Point to the limitation of existing method, the neural computation method of finite element of elasticity - plastic mechanics was studied on the base of variational principle of the second order minimal potential energy in plastic theory. the neural network solving method of elasticity - plastic mechanics based on variational principle of the second order minimal potential energy was presented, and the neural network computation model of finite element of plastic mechanics was given
針對已有方法的局限性，以塑性理論中的二階段最小勢能變分原理為基礎，對彈塑性力學問題的神經網路有限元計算方法進行了研究，提出了基於二階段最小勢能變分原理的彈塑性力學問題的神經網路求解方法，建立了塑性力學問題的有限元神經網路計算模型。
分享友人