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The functional relationship between displacement and sound pressure was deduced by using variational principle and Bessel function. Then the analytic solution of the eardrum displacement was obtained, and moreover the ear ossicle displacement was obtained.

由变分原理及贝赛尔函数推导出人工鼓膜位移与声压的关系，得到鼓膜位移的解析解，并由此得到听骨位移。

In this thesis, the applications of the parametric variational principle and the parametric quadratic programming method in the structural dynamic elastic- plastic response analysis and the dynamic strain softening problem are studied.

本文针对参变量变分原理以及基于此原理的参数二次规划方法在求解结构弹塑性动力响应和动力弹塑性软化问题中的应用进行了研究。

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。

In Chapter 5, we study three dimensional elasto-plastic frictional contact problems with orthotropic friction law. Parametric variational principle and parametric quadratic programming method are applied to analyze this class of complicated mechanics problems. A linear complementarity problem formulation is derived.

在第五章，我们采用正交各向异性摩擦定律模型对三维弹塑性摩擦接触问题进行分析，将正交各向异性的摩擦定律线性化后，将参变量变分原理和参数二次规划法应用到这一复杂的力学问题中来，最终将问题化为线性互补问题模型。

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。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。