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variational principle是什么意思,variational principle的意思翻译、用法、同义词、例句

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常用词典

  • [数] 变分原理(等于variation principle)

  • 例句

  • In this paper the analysis of cable-supported dome structure under axisymmetrical loading is discussed and solved by the energy variational principle.

    本文对索承穹顶结构在轴对称荷载作用下的分析进行研究,并用能量变分原理进行求解。

  • Besides, Chapter Three gets the Euler-Lagrange cohomology in the finite element discrete Lagrangian mechanics via the difference discrete variational principle.

    此外,文中第三部分用差分离散变分原理得到有限元离散的拉氏力学的欧拉-拉格朗日上同调。

  • As an inverse problem of Hamiltonian mechanics, a new Hamiltonian system in elasticity and its variational principle are derived from the basic equations of elasticity.

    作为哈密顿力学逆问题,从弹性力学基本方程推导出弹性力学中一个新的哈密顿系统及其变分原理。

  • As we know, perturbed and optimization and variational principle play an important role in nonlinear analysis.

    我们知道,扰动优化或变分原理在非线性分析领域中也起到了很大的作用。

  • A power-like equation, a Virial-like theorem, an integral variational principle and a differential variational principle for the system are deduced by using the time-integral identity.

    给出系统的时间积分等式,并由此等式导出类能量方程、类维里定理、一个积分变分原理和一个微分变分原理。

  • The paper presents a new symmetric coupling approach of BEM and FEM, which is based on the sub-region variational principle.

    本文从弹性力学分区变分原理出发,提出一种新的有限元与边界元的对称耦合方法。

  • Some references indicated that the extremum in the Schrodinger variational principle is a minimum.

    已有的一些文献指出,薛定谔变分原理中的极值是极小值。

  • An elastoplastic analysis of plate-bending formulation which is incremental computation form of finite element method is derived by variational principle.

    本文利用变分原理推导出弯曲板弹塑性分析的增量形式有限元素法计算格式;

  • In the free-boundary case, the extremum of the potential functional is found from the variational principle. Thereby the equation and boundary conditions required for plasma equilibrium are derived.

    在自由界面情况下用求位能汛函极值的变分原理推出了等离子体平衡所需满足的平衡方程和边界条件;

  • Laplace transform finite element method for solving the dynamic coupled ther-moelasic bending problems of thin plates was proposed based on the variational principle of theProbems.

    以薄板动力热耦合弯曲问题的变分原理为基础,提出了一种解决该问题的拉普拉斯变换有限无法。

  • Based on Gurtin type variational principle a finite element method for initial value problems is presented by functional analysis. It is used for problems of beams dynamics.

    从卷积型变分原理的泛函出发,通过分析泛函中的各项,推导出求解动力响应问题的时-空有限元法,并将其应用于梁的动力问题中.。

  • We first improve the complementary variational principle.

    首先改进互补变分原理。

  • Based on the sub-region generalized variational principle, the solving equations of the problem are derived directly.

    根据分区广义变分原理,直接导出问题的求解方程式。

  • Taking soil slope as an example, model and analytic formula of the most dangerous sliding surface are developed according to variational principle.

    基于变分原理,以土质斜坡为例,介绍斜坡潜在最危险滑动面的计算模型及解析表达式。

  • Problems dealing with a body having complex boundary conditions can be solved by means of the state-parted variational principle of energy.

    最后,说明了分态能量变分原理在计算具有复杂边界条件薄板问题中的应用。

  • The foundation of the solving methods is the variational principle.

    求解方法的基础是变分原理。

  • This paper presents a multivariable wavelet FEM which is based on Hellingger-Reissner variational principle.

    提出了一种基于二类变量广义变分原理的多变量小波有限元方法。

  • With the variational principle of variable boundary, we study the crack extension on elastoplastic conditions.

    应用可动边界变分问题的理论研究了弹塑性理论的裂纹扩展问题。

  • In this paper, resonant frequency of the deformed circular microstrip antennas is investigated based on variational principle and the perturbation concept.

    本文用变分法并结合微扰理论分析了一种变形圆贴片宽频带微带天线的谐振频率。

  • The recent progresses in non-equilibrium statistical mechanics are summarized and an attempt is made to build a new descriptive method based on a new variational principle.

    在近年来非平衡统计力学研究进展的基础上,尝试从广义变分法的视角建立一套描述非平衡统计力学的新方法。

  • By the use of the variational principle of complementary energy, the closed form of the stresses of double-layer composite bar is obtained.

    运用最小余能原理,求得了双层复合材料杆温度应力的封闭解。

  • A system procedure is proposed to derive the variational principle for a non self adjoint low frequency eddy current problem through adjoint operator and adjoint function.

    利用伴随算子和伴随场函数,建立了低频涡流电磁场中非自伴算子问题的一般变分描述。

  • Finite Elemnent-Linear Complementary Equation is established for analysis of elastoplastic thin plate-bending problems based on variational inequality principle.

    从变分不等式出发,结合有限元,建立了按增量求解薄板弹塑性弯曲问题的线性互补方程。

  • This paper describes the importance of performing theoretical studies of the adjoint equation. We discuss the variational assimilation principle, and prove the characteristics of the adjoint equation.

    本文概述了变 分同化伴随方程理论研究的重要性,讨论了变 分同化原理、证明了预报模式方程的伴随方程解的特性;

  • The plastic process analyses on rectangular plate upsetting were made in detail on the basis of the principle of generalized variational inequality subjected to friction.

    基于摩擦约束广义变分不等式原理,对长矩形板镦粗进行详细的塑性加工工步分析。

  • For a thin-walled bar with openings, a characteristic equation of lateral stability is derived from energy principle and with the aid of variational method.

    根据能量原理,借助于变分法导出一个考虑薄壁杆件扭转和翘曲变形影响的侧向稳定特征方程。

  • The auxiliary principle technique is extended to study a class of generalized strongly nonlinear mixed variational-like inequalities for set-valued mappings without compact values.

    延拓辅助原理的技巧研究一类取非紧值的集值映象的广义强非线性混合似变分不等式。

  • The auxiliary principle technique is extended to investigate a class of generalized set-valued strongly nonlinear variational-like inequalities.

    本文延拓辅助原理的技巧,来研究一类广义集值强非线性混合似变分不等式。

  • 同义词

  • |variation principle;[数]变分原理(等于variation principle)

  • 网络扩展资料

    变分原理是数学和物理学中的一种重要概念,它可以用来描述自然界中的物理规律。变分原理的基本思想是,寻找一条路径或状态,使得在这条路径或状态下,系统的某个物理量达到极值。在变分原理中,我们需要找到一个函数,使得函数在给定的边界条件下能够使系统的某个物理量达到极值。

    变分原理在物理学中有广泛的应用,如在经典力学中,它可以用来描述物体的运动轨迹,也可以用来求解波动方程的解。在量子力学中,变分原理也被广泛应用于求解能量本征值和波函数等问题。

    变分原理的应用需要用到变分法,变分法是一种基于变分原理的数学方法,可以求解一些复杂的函数极值问题。变分法的基本思想是,在所有与给定函数满足相同边界条件的函数中,找到一个函数,使得该函数的变分能量达到极值。

    在变分原理中,有一些常见的术语和概念,如变分能量、变分、泛函等。变分能量是指在变分法中所用到的能量函数,它是一个关于函数的函数,用来描述系统的某个性质。变分是指对函数进行微小的改变,用以计算变分能量的改变量。泛函是一类函数,它将一个函数映射到一个实数上,用来描述函数的某个性质。

    变分原理在数学和物理学中有着广泛的应用,它是许多重要定理和方程的基础。在工程学、经济学、化学等领域中,变分原理也被广泛应用于求解各种问题,是一种非常重要的数学工具。

    近义词: 变分法、变分计算、变分理论

    反义词: 固定原理、最大值原理、最小值原理

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