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variation calculus
相关语句
  变分法
     Study on application of variation calculus instability analysis of tailing dam
     变分法在尾矿坝稳定性分析中的应用研究
短句来源
     An Application of Variation Calculus on Optional Control
     变分法在最优控制问题中的一个应用
短句来源
     A new method to solve over-determined geodetic boundary value problem is proposed with the help of minimizing some kinds of functional in variation calculus.
     本文借助于变分法中求泛函极小化的方法提出求解超定大地边值问题的新方法。
     In this paper,on the basis of the principle of minimm potential energy,the minimm limit compression force is obtained by the variation calculus and,by using the second order variation of the total potential energy,the minimm limit force is proved to be the critical pressure for the beam,which is fixed at one end and free at the other end to lose stability.
     由变分法中的最小势能原理导出一端固定一端自由梁柱屈曲时的最小极限压力,并用总位能的二阶变分说明这个最小极限压力就是该梁柱的欧拉临界压力Pcr。
短句来源
     in this paper, by adopting the variation calculus on the basis of the principle of minimum potential energy, the minimum axial compression force is obtained and, by using the second-order variation of the total potential energy, the minimum axial force is proved to be the critical pressure for the beam column to lose stability.
     本文由变分法中的最小势能原理导出两端铰支的梁柱屈曲时的最小轴向压力,并用总位能的二阶变分说明这个最小轴向压力就是该梁柱的临界压力Pcr。
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  “variation calculus”译为未确定词的双语例句
     On the Equivalent Feature of Laplance Equation with Third Boundary Value Problem and the Problem in the Variation Calculus
     论拉普拉斯方程第三边值问题与变分问题的等价性
短句来源
     Based on principle of variation calculus, the basic spline finite element method(B-spline FEM) is used to determine the equilibrium position of curve deformation.
     依据变分原理,采用B样条有限元法,确定曲线变形后的平衡位置。
短句来源
     Referring to the compacting result, sintering billet whose relative density is 0.9 and correlative parameters are used. Rigid-plastic variation calculus theory of compressible materials is utilized to model the extruding process.
     参照压制得到的相对密度为0.9的烧结压坯和相关材料参数,利用刚塑性可压缩材料变分原理进行模拟,从而确定了压坯挤压的模具尺寸。
短句来源
     A twodimensional transient heattransfer mathematical model of billet mold was established and the application of FEM to the temperature field of billet mold was analyzed in this paper,such as discretization of the connected region,selection of the temperature interpolation function,calculation of variation calculus of finite element and the program flew chart.
     建立了小方坯结晶器二维非稳态传热的数学模型,着重分析了有限元在研究小方坯结晶器温度场中的应用,如连续区域的离散化、温度插值函数的选取、单元变分计算、组集总体合成方程的推导以及程序的设计等;
短句来源
     This paper presents the Laplance Equation with third boundary value problem in the pillar coordinate first, then proves that the Laplance Equation with third border problem and the problem in the variation calculus are equivalent, and finally gives the advantages of this kind of transformation.
     首先给出了柱坐标系下拉普拉斯方程的第三边值问题,进而证明了拉普拉斯方程的第三边值问题等价于一个泛函变分的极值问题,最后指出了将拉普拉斯方程第三边值问题转换为等价的泛函变分极值问题的好处.
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  相似匹配句对
     The variation of I.
     研究结果表明:I.
短句来源
     CALCULUS OF VARIATION WITH STRONG NONLINEARITY ON THE UNBOUNDED DOMAIN
     无界域上的强非线性变分问题(英文)
短句来源
     An Application of Variation Calculus on Optional Control
     变分法在最优控制问题中的一个应用
短句来源
     Variation Translation
     翻译变体
短句来源
     Calculus on Orbifold
     Orbifold上的积分
短句来源
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  variation calculus
Using this discrete total variation calculus, we obtain multisymplectic-energy-momentum integrators.
      
A total variation calculus in discrete multisymplectic field theory is developed in this Letter.
      
Thus this theory verifies the conjecture or experience of researchers of mechanics on the integrability conditions in terms of variation calculus.
      
Again using that derivative and also the results of the variation calculus due to M.
      
The control laws are carried out by a variation calculus problem and a polynomial pole placement synthesis solution, respectively.
      
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This paper introduces some related concepts of pansystems analysis (such as pansystem, pansystem space, pansystem logic space, pometric pansystem, etc.), and develops the convex set theory, Banach's theorem of completeness, Lax equivalence theory, theorems of Kuhn-Tucker type and Dubovitsky-Milutin type into the pometric pansystem forms, which are different from traditional results. Furthermore, general stability of operator equations and MSP transforming principles of approximation are investigated, and in...

This paper introduces some related concepts of pansystems analysis (such as pansystem, pansystem space, pansystem logic space, pometric pansystem, etc.), and develops the convex set theory, Banach's theorem of completeness, Lax equivalence theory, theorems of Kuhn-Tucker type and Dubovitsky-Milutin type into the pometric pansystem forms, which are different from traditional results. Furthermore, general stability of operator equations and MSP transforming principles of approximation are investigated, and in the final section we present a sort of extension and unified functional framework concerning traditional extremal theorem, variation calculus, reciprocity principle, variation theorem of quadratic functional and unilateral variation principles.

本文介绍有关的一些泛系分析概念(诸如泛系、泛系空间、泛系逻辑空间、半序度量泛系等),把凸集理论、Banach完全性定理、Lax等价理论、Kuhn-Tucker型定理、型定理等推广于半序度量泛系,发展了不同于传统结果的一些形式,并研究了一般的算子方程的稳定性及逼近的MSP转化原则,另外,对古典极值定理、变分学、互易原理、二次泛函变分定理及单边变分原理给出一种统一的泛函框架并作了一些推广

The calculating formulas of top and bottom pool-surface deformation in TIG full-penetration weld pool is developed based on principles of fluid mechanics and variation calculus. A mathematical model has been estabished for the fluid flow and heat transfer in TIG full-penetrated Weld pool.Difficulties associated with irregular shape of the deformed weld pool surface have been sucessfully overcome by calculating the surface deformation together with the fluid flow and heat transfer in weld pools. Data of...

The calculating formulas of top and bottom pool-surface deformation in TIG full-penetration weld pool is developed based on principles of fluid mechanics and variation calculus. A mathematical model has been estabished for the fluid flow and heat transfer in TIG full-penetrated Weld pool.Difficulties associated with irregular shape of the deformed weld pool surface have been sucessfully overcome by calculating the surface deformation together with the fluid flow and heat transfer in weld pools. Data of fluid velocity and temperature distribution in weld pools are obtained, so do that of top and bottom pool-surface deformation. TIG welding experiments show that the predictions of the model have a good agreement with the experimental observation with respect to weld pool shape.

根据流体力学理论和变分法原理,推导出了熔透情况下TIG焊接熔池上表面和下表面变形的方程。建立了TIG焊接熔透熔池流场与热场的数值分析模型,采用非正交贴体曲线坐标系成功地处理了熔池表面的曲面边界。将熔透情况下熔池上下表面变形的计算,与熔池流场与热场的计算相结合,不仅较好地计算出了熔池的流场与热场,同时求得了焊接熔池的上下表面变形。焊接工艺试验表明,根据该模型计算的焊缝成形与试验测试结果吻合程度良好。

in this paper, by adopting the variation calculus on the basis of the principle of minimum potential energy, the minimum axial compression force is obtained and, by using the second-order variation of the total potential energy, the minimum axial force is proved to be the critical pressure for the beam column to lose stability.

本文由变分法中的最小势能原理导出两端铰支的梁柱屈曲时的最小轴向压力,并用总位能的二阶变分说明这个最小轴向压力就是该梁柱的临界压力Pcr。

 
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