1、

The author gives the canonical equation of generalized classical mechanics, and then studies its nonsimultaneous variational equations and their solutions, and proves that integral invariant of the system can be constructed by using the first integral.

给出了广义经典力学的正则方程,研究了其非等时变分方程,讨论了它们的解,并证明可由第一积分构造相应的积分不变量。

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2、

We first set up a equivalent variational equation for the initial-boundary value problem of the Cahn-Hilliard equation ( 1),( 2),( 3).

本文首先对cahn一Hiiliard方程之初边值问题(l),(2),(3)建立了与之等价的变分形式.证明了如果。

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3、

This paper sets up a class of generalized impulse control models in part ( I), proves the existence of relevant variational equation solution.

本文在(Ⅰ)中建立了一类推广型的脉冲控制模型,证明了相应的变分方程解的存在性。

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4、

By the variational method, the governing equation of the plate non-linear theory is solved, and he relationship between load and deformation of a single spring leaf is obtained.

应用薄板非线性理论的变分方法求解基本方程,得到了单片碟形弹簧的载荷和变形关系以及应力分布及其计算公式。

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5、

This paper proposes a motion equation of the rigid object which moves in the background field. An inversional model which can get wind through the moving object's trajectory is first referred by using the variational adjoint method and Tikhonov regularization principle.

本文首先给出了刚性示踪物在背景流场中的运动方程,利用变分伴随方法结合反问题的正则化思想建立了示踪物轨迹反演背景流场的伴随模型。

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6、

An investigation is carried out on the problem involved in 4D variational data assimilation ( VDA) with constraint conditions based on a finite-element shallow-water equation model.

考察了具约束条件的四维变分资料同化问题,首先引入解决该类问题的一般理论与方法,然后用有限元浅水模式对具高频重力波约束条件的四维变分同化问题进行数值试验。

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7、

The complete Euler equation set contains all kinds of Euler equations of the variational problems.

该方程组涵盖了变分问题的各种欧拉方程.

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8、

the energy variational formulation of structural vibration systems is introduced and the design sensitivity equation is developed using the adjoint variable.

利用连续介质动力学理论,得到基于能量变分法的设计灵敏度方程。

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9、

modified h-r mixed variational principle for magnetoelectroelastic bodies and state-vector equation

磁电弹性体修正后的H-R混合变分原理和状态向量方程

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10、

By theory says, the variational principle and the Schrodinger equation are equal.

从原理上讲, 变分原理与薛定谔方程等价.

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12、

Based on the Mindlin plate theory, and by modifying the mixed variational principle, the Hamilton canonical equation for the free vibration analysis of Mindlin plate is derived and the analytical solution is also deduced by the adjoint ortho-organization symplectic geometry method.

本文通过对混合能变分原理的修正,建立了Mindlin板动力学问题的Hamilton正则方程,并采用共轭辛正交归一关系给出固有频率分析的精确解。

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13、

Firstly, based on intelligent constitutive relation theory, instantaneous variational principle and spline dispersing, the analysis equation of the displacement and electric potential of the piezoelectric intelligent beam is established by the intelligent sline finite-point method.

首先采用智能样条有限点法,从位移模式出发,以智能本构关系、瞬时变分原理以及样条离散化为基础建立了压电智能梁力电耦合性能分析的计算模式。

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