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Based on the generalized potential energy variational principle of nonlinear elasticity theory with large deflection,the incomplete generalized potential energy functional is established on the space coupling free vibration of three-span self-anchored suspension bridge by considering the effect of coupling of flexural and axial action,and shearing strain energy of stifening girder.

摘 要：基于大位移非线性弹性理论的广义变分厚理，考虑了加劲梁的压弯耦合和剪切应变能的影响，建立了三跨自锚式悬索桥空间耦合自由振动的大位移不完全广义势能泛函，通过约束变分导出了自锚式悬索桥的竖向挠曲振动、横向挠曲振动和纵向振动的基础微分方程，忽略非线性项的影响，进而得到线性振动微分方程。

Based on the generalized potential energy variational principal of nonlinear elasticity theory with large deflection, the incomplete generalized potential energy functional with large deflection is established on the space coupling free vibration of three-span self-anchored suspension bridge by considering the effect of axial compressive and shearing strain energy of stiffening girder.

摘 要：摘要：基于大位移非线性弹性理论的广义变分原理，考虑了加劲梁轴向压缩应变能和剪切应变能的影响，建立了三跨自锚式悬索桥空间耦合自由振动的大位移不完全广义势能泛函，通过约束变分导出了自锚式悬索桥的竖向挠曲振动、横向挠曲振动、纵向振动及扭转振动的基础微分方程，为自锚式悬索桥的固有振动性状分析提供可靠的理论依据。

Secondly, we conside some kinds of projection iterative schemes for variational inequality problem ≥0, which divide to two aspects, one is S is the single-valued operator, the other is S is the multi-valued.

其次，讨论了变分不等式≥0中S为单值算子和多值算子情况下的几种投影迭代算法。

The following are the major work in this thesis which has been studied and still needs to be studied further in the future: 1 An improved adjoint variational method is developed, thus it can be applied to the LAGFD-WAM Wave Numerical Model for data assimilation; 2 A linear evolution equation of spectral perturbation is derived in order to analyze its increasing or decreasing mechanism.

本论文主要完成了以下几个方面的研究： 1）建立了推广形式的共轭变分同化方法，使之能够应用于LAGFD-WAM海浪数值模式； 2）导出了扰动谱线性演化方程，分析了扰动谱增长、衰减机制，考察了涌浪情况下扰动谱的持续时效问题及风浪情况下扰动的演变过程； 3）利用波谱共轭方程初步分析了同化模型中距离泛函的敏感性及敏感区域空间分布； 4）将推广的共轭变分方法应用于海浪谱能量平衡方程，建立了连续形式的海浪同化模型，特别是严格导出了风输入、破碎、底摩擦、波波非线性相互作用和波流相互作用各源函数的共轭源函数表示式； 5）分别进行了波谱层次上和有效波高层次上的同化试验，并对数值结果进行了分析。

In order to solve this problem,the genetic algorithm is applied to fit the spherical model variational function,because the genetic algorithm is a robust method for search for the optimum solution to the complex problems.

为解决这一问题，结合遗传算法原理，充分利用遗传算法在求解非线性问题时具有全局寻优的特点，拟合出球状模型的理论变异函数参数，并以小湾水电站左岸堆积体边坡的变形监测数据为例进行了计算。

A variational method with differential forms gives better precision for numerical solution of transport critical problem based on spherical geometry, and its computation seems simple than other approximate methods.

对于球几何问题，讨论了一种基于微分方程的变分形式求解方法，数值计算显示达到了较满意的精度，而且计算过程比起其他近似方法要简单

Beijing is provided with typical urban landscape, forest land is the maximal and basal landscape patch type (area proportion 42.534%), glebe field (28.754%),spinney land and urban (26.912%) and town residential landuse (10.344%) are main landscape patch categories in Beijing. From landscape, landscape patch types and landscape patch categories levels, landscape patch distributing centralize, and patch shape is simple, main landscape patch fractal dimension indexes are under 1.1, so urban landscape pattern is high influenced by human disturbance.2. From 1985 to 2007, Beijing landscape pattern variational characteristics are as follows:(1) During 1985-2007, patch types and categories change is little, but area and patch number of patch types and categories change distinctly. Town residential landuse area increased 7.66% of Beijing total area, farmland and forest land area decrease in the mass. The total patch number increased at first then decreased. taking one with another, the total number is decreasing, and patch number of farmland and forest land are most distinct.

本研究的主要研究结果如下：1、北京市具有典型的城市景观特征，林地用地的面积占市域面积的42.534%，为基质景观斑块类型，旱田(28.754%)、灌木林(26.912%)、城镇用地(10.344%)是北京市主要景观斑块种类；从景观、景观斑块类型以及景观斑块三个层次的研究均表现出北京市各景观斑块类型及景观斑块集中分布的现象十分突出，斑块形状简单，主要景观斑块种类的景观分维度指数值均不足1.1，表明城市景观格局受到了较大的人为影响。2、北京市1985-2007年间城市景观格局的主要变化特征表现为以下几个方面：(1)在研究时段内，北京市景观斑块种类变化不大，景观组分面积和斑块数变化明显，其中最为显著的是北京市城镇建设用地面积呈单纯的增加趋势，增加幅度为北京市总面积的7.66%，农业用地与林地的面积虽呈波动变化但总体呈减少趋势；景观斑块数量先增后降，总体呈下降趋势，其中耕地与林地斑块数的变化最为明显。

It has an important relation with stationary point theories, variational inequality, linear and nonlinear analysis, and some applied mathematical problems such as economic and equilibrium problems.

它与不动点理论，变分不等式问题，线性和非线性分析，以及其他领域的应用数学如经济，平衡问题等都有密切的联系。

Some properties and convergence theorems of the Henstock variational integral for stochastic process with respect to canonical Brownian motion are probed.

讨论了关于布朗运动的随机积分用Henstock变差逼近的方法所定义的积分的一些性质和收敛定理。

Stochastic maximum principle,risk-sensitive control,convex variational technique,portfolio choice

随机最大值原理，风险敏感控制，凸变分技术，投资组合选择

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。