反模

Due to the symmetry of the plate, there are symmetric and antisymmetric mode vibrations with respect to the median plane of the plate.

首先建立了在偏压电场作用下压电介质的运动微分方程，进而根据对称模态和反对称模态的特点，分别在自由表面电学开路和电学短路情况下得到了Lamb波传播的相速度方程。

Taking the spring of coupled pendulum s as an uniform elastic rod, characteristic equations are derived for symmetric normal mode and antisymmetric modes.

将耦合摆弹簧作为弹性均匀杆，导出了对称简正模与反对称简正模的本征方程，给出各角频率值的近似式，并进行了讨论

For this reason, the project creates the mathematical model and numerical method of backcalculation of layer moduli in asphalt pavement based on homotopy method in accordance with the theories of differential topology and optimization. Through selecting the rational objective functions of backcalculation of moduli, a large number of deflection basins of asphalt pavement with FWD are made the backcalculation of moduli to solve effectively the present problems and ensure the reliability of backcalculation of layer moduli in asphalt pavement.

为此，本项目根据微分拓扑和最优化理论，建立了基于同伦方法的沥青路面模量反算的数学模型和计算方法，并通过选取合理的模量反算目标函数，对大量FWD实测的沥青路面弯沉盆进行了模量反算，从而有效地解决了目前存在的问题，保证了沥青路面模量反算的可靠性。

It is showed that the increase of tire body glue extension module and the decrease of bead glue extension module can improve the performance.

分析结果表明，增加子口胶，胎体层胶的定伸长模量和减小圈垫胶的定伸长模量可改善子口包布反包末端性能。

The conclusion of this article contains:(1) The climatology symmetric index and antisymmetric index which represent the uniform system of ocean and atmosphere is defined according to the unique kinetic character of the large-scale fluid. The symmetric mode, a state mode, and antisymmetric mode, a propagate westward mode, of ocean and atmosphere are distinguished clearly from each other. Also, the primary part which determines the symmetric mode emerges from non-divergenct wind and the dominant part which contributes to the antisymmetric mode mostly is irrotational wind. The article also compares the disparity of the climatology distribution of SST and sea surface wind field between 1948-1975 and 1976-2005. The SST of both the tropical Indian Ocean and the tropical Pacific after 80's is warm than before 80's .

主要结论如下：(1)热带太平洋气候平均态所包含的海-气相互作用的资料分析根据海洋和大气的运动特性，定义了表征海洋大气系统的对称模态和反对称模态指数，通过两个指数对热带太平洋和印度洋关于赤道对称和反对称的两个模态进行区分，发现关于赤道反对称的海-气耦合模态主要包含了大气散度分量和海洋SST的相互作用；关于赤道对称的海-气耦合模态主要包含了大气旋度分量和海洋SST的相互作用，并从资料估算了该耦合模态向西传播的速度。

At the same time, under the condition of small strain, firstly, the secant shear modulus was always larger than the tangent shear modulus. Secondly, when the logarithmic coordinates were applied to describe shear strain, the decrease of shear modulus with shear strain could be expressed by reversed S shape curve with two inflexion points, and through analyzing and validating, the deduced equation could perfectly reflect this characteristic. Finally, different stress paths and strain areas would lead to different attenuation trends.

而且，在小应变范围内，割线剪切模量总是大于切线剪切模量；当剪切应变采用对数坐标表示时，剪切模量随着剪切应变的增加而衰减，且衰减的规律都可以表示为带有两个拐点的反S型曲线，经分析验证本文所得公式3可以对此特性进行很好地反映；但应力路径、应变范围不同其衰减幅度不同。

The shear modulus or modulus of rigidity describes an object's tendency to shear (the deformation of shape at constant volume) when acted upon by opposing forces; it is defined as shear stress over shear strain.

剪切模量或刚度模量，描述了一个物体在反力作用下的受剪切程度；它被定义为剪切应变下的剪切应力。

Computationalresults indicate that the no-planar trans-benzanilide is the most stable structure. The spectra indicate that the Franck Condon region photodissociation dynamics have multidimensional character withnine activemodes. The intensity of υ24 mode in methanol is much stronger than that in acetonitrile. Compared with fatty amides and benzamide, phenyl substitution for H atom on-NH2 group makes C=O solvent effects disappear.

结果表明，苯甲酰苯胺的非平面反式结构为最稳定结构；在Frank-Condon区域内，苯甲酰苯胺主要由9个活性振动模组成；其中ν24（苯环上C＝C不对称伸缩振动和CCH的面内弯曲振动，NH面内弯曲振动）振动模在甲醇溶剂中的强度远远大于其在乙腈的强度；与脂肪酰胺类化合物和苯甲酰胺的研究结果比较发现，苯基取代－NH2上的H原子使得C＝O不再具有明显的溶剂效应。

According to the testing deflection basins measured using Falling Weight Deflectometer of semi-rigid pavement on the experiment pavement, the structure layer moduli of asphalt pavement is backcalculated according to the principle of system identification method.

利用落锤式弯沉仪在实验路段的实测弯沉数据，采用系统识别方法对沥青路面结构层模量进行了反算，进而分析了沥青路面弯沉及反算模量与其代表温度之间的相关关系，并建立了相应的温度修正公式。

At the same time, the evaluations of pavement performance with FWD are researched based on the backcalculation results. We also analyse the mathematical basic of the solvability conditions for inverse problems, the dynamic problems of pavement and the dynamic backcalculation of subgrade modulus of PFWD (Portable Falling Weight Deflectometer).

同时，采用模量反算结果进行了FWD评价路面性能的应用研究，分析了反问题有解存在的数学基础，探讨了路面动力分析问题，并对PFWD的路基模量动力反算问题进行了研究。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。