查询词典 variational formulation

The discretized frictional contact problems can be reduced as a linear complementarity problem using parametric variational principle and parametric quadratic programming method. Then we can apply the algorithms proposed in this thesis to the solution of the contact problems.

利用参变量变分原理和参数二次规划法，离散后的接触问题可化为线性互补问题，之后，将第二、三章提出的互补问题算法应用到接触问题的数值求解中。

It provides an effect theoretical tool for studying many nonlinear problems, mainly including topological degree method , variational method , partial ordering method and analytic method and so on.

它为解决各种各样的非线性问题提供了一个富有成效的理论工具。利用非线性泛函分析研究问题的主要方法有：拓扑度理论、临界点理论、半序方法以及分析方法等。

At last,simulation research is carried out on radar echo of two same frequency vibration scatter points.Theoretical annlysis and simulation result indicate that the model is effective and that the periodicity of amplitude modulation function and phase modulation function is invariable as the number of scatter points increased,but,their amplitudes are variational.

最后对两个同频振动散射点合成雷达回波进行了计算机仿真研究，理论分析和仿真结果表明，该模型是有效的，并且随着同频振动散射点数的增加，其幅度调制函数和相位调制函数的周期性不发生变化，只是它们的值会随着振动点数的增加而改变。

In this paper,the artificial parameter perturbation method and variational iteration method have been applied to nonlinear differential equation with power nonlinearities.

应用人工参数法和变分迭代算法，求解了具有分数阶非线性的一阶常微分方程。

If the phase of signal varies linearly with time, the complex signals combined with this kind of signal can be ideally analyzed using Fourier Transform, for the phase of orthogonal base function varied linear with time and so get to match with the variational rule of signal phase.

如果信号的相位是随时间一次方变化，由这一类信号所组成的复杂信号可以用傅里叶变换进行完美地分析，其原因是正交基函数的相位也是按时间一次方变化的，达到了与信号相位变化规律相匹配。

To separate oscillating parts such as texture and noise from piecewise smooth parts, a new variational image decomposition model is presented.

为了将图像分解为分片光滑的结构部分和振荡部分，提出一种新的变分图像分解模型。

The variational trends of bending stress of the gear and pinion are analyzed based on the FEM results.

根据有限元的计算结果，分析了凸、凹齿轮齿根应力的变化规律。

In the end, we built a model of the 4-D variational data assimilation for a barotropic primitive equation based on GA and compared with the adjoint assimilation model.

同时，以正压原始方程组为例建立了基于遗传算法的变分同化模型，并从多方面与伴随模式变分同化系统进行了分析比较。

By investigating Euler\'s application of variational mathematics to mechanics, especially his principle of least action,the mechanics background of his research and its influence on Lagrange are revealed.6.By the discussion of Lagrange\'s innovation and generalization of the calculus of variations,the reason why Lagrange puts forward his method of variation by comparing Euler\'s method is explained.

深入细致地分析了拉格朗日对变(来源：ABC论文2d网www.abclunwen.com)分法所做的变革和发展：(1)通过比较欧拉方法和拉格朗日方法，探讨了拉格朗日变分方法——δ-方法提出的动因；(2)详细论述了拉格朗日早期对变分法发展所作的重要贡献；(3)探究了拉格朗日δ-方法由非参数形式向参数形式转变的原因。7。

Based on the variational principle of virtual voltage and virtual displacement derived in this thesis and the classical theory of linear laminated plates, and by using the constitutive equations of elastic piezoelectric materials, and the DKQ quadrilateral plate bending element, the finite element modeling for the fabric reinforced laminated plates with nonlinear voltage-electric strain relationship of piezoelectric actuators has been established for the first time in this thesis. And the expressions for the electric loadings with obvious mechanical meaning and convenient for computation are established, which can be used to the deformation analysis of laminated plates with piezoelectric actuators under specified voltages.

以本文直接导出的压电结构的虚电势—虚位移变分原理为基础，依据经典线性层合板理论和压电弹性体的本构方程，采用基于离散法线假设的DKQ四结点任意四边形薄板弯曲单元，首次建立了考虑非线性电压—电应变关系的含压电致动器的纤维增强型层合板的有限元分析模型，并推导建立了力学意义明确、便于计算的电荷载表达式，可用于指定电压条件下纤维增强型叠层合成板的变形分析。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。