可计算关系

The sinking rate of the spherical heavy solid in static liquid is in accord with Stocks formula.The plutonic inclusions in igneous rocks which formed as a result of solidification of magma have the same relation as magma.

静态流体中的球形固体重物的沉降速度服从Stocks公式，岩浆岩是由岩浆上升冷凝而成，在形成时与其中的深源包体也是这种关系，只是包体没有沉下去，反而随岩浆上升，说明岩浆上升速度大于最重最大包体的下沉速度，据此可确定该岩浆岩形成时岩浆流体上升的最小速度并推导出计算公式。

The calculating results show that the precipitable water is well related with the ground water vapor pressure.

计算结果表明，可降水量和相应的地面水汽压之间，存在着良好的数值对应关系。

Vesic's solutions to cavity expansion that include cylindrical cavity expansion and spherical cavity expansion are introduced. Then cylindrical cavity expansion theory is applied to study compaction effect of pile driving in saturated soil. Based on the results of conventional triaxial tests, a trilinear curve model is used to simulate stress-strain curve of strain-softening materials. Meanwhile, trilinear curves are also used to simulate curves of volumetric strain, minor principal strain and major principal strain. By using elasto-plastic theory, analytical solutions to cylindrical cavity expansion in strain-softening soil are presented. According to the mechanism of statically pressed pile driving, compaction effect of pile tip can be viewed as hemispheric cavity expansion. Therefore spherical cavity expansion theory is applied to obtain the solutions to stress, strain, displacement fields and final pressure. Resistance force of pile tip is calculated to estimate static pressure.

介绍了Vesic关于圆孔扩张问题的解答，其中包括柱形孔扩张问题和球形孔扩张问题，并应用柱形孔扩张理论分析了饱和软土中的沉桩挤土效应问题；在常规三轴试验成果的基础上，采用三折线模型模拟具有应变软化性质的岩土材料的应力应变关系曲线，分析了在应变软化土体中沉桩时桩周土的位移场、应力场和应变场的变化，得到了解析解答；分析了静压桩的沉桩机理，并利用球形孔扩张理论，视桩端处的挤土为半个球形孔的扩张，分析了桩端处土的位移场、应力场和应变场的变化，并根据最终扩张压力计算出沉桩时的桩端阻力，可作为压桩力的估算。

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。

A relationship between absorption coefficient of sample and reverberation time is proposed and applied to correct the standard absorption coefficient.

通过对混响室声场的模拟计算，建立材料吸声系数与混响时间的关系，并对实测的吸声系数进行修正可提高声场计算机模拟的精度。

In the second part, the modelling problem of system reliability is studied from the point of view of sequential logic, so as to overcome the difficulties that the description and the analysis of large-complex repairable systems must depend on the state-transition graphs .

在第二部分中，论文从时序逻辑关系的角度研究了系统可靠性的描述问题，主要目的是为了寻求一种系统可靠性的模型方法，以解决目前多部件组成的复杂可修复系统的可靠性，必须依赖状态转移图才能进行描述与分析计算，使得对于比较大的系统的可靠性的描述和存储都有很大困难的状况。

The algorithm due to Warshall is a very simple and effective too1, which computes the transitive closure of a binary relation on finite set as we1l as the reach ability matrix of a simple digraph.

WARSHALL算法是一个非常简单而有效的工具，它可以计算有穷集合上的二元关系的传递闭包和简单方向图的可到达矩阵。

In this course three-dimensional finite element method is used to calculate the stress and deformation of the metal structure.The influence coefficient method is adopted to obtain the expression between the load and the offect ,and form the limit state equation of all failure mode.Finally.corresponding reliability indices are obtained with the JC method under truncated distribution.

在此过程中，运用三维有限元计算了门机金属结构的应力和变形，采用影响系数法，建立起荷载与荷载效应的显式关系，进而建立了各失效模式的极限状态方程，再用可截尾处理的JC法求出相应的可靠指标。

To the characteristics that plural operate, can draw a vector diagram, make use of severals of the vector diagram relation to help the analysis and simplifications calculation, thus extended to solve the way of thinking and the method of problem.

但根据复数运算的特点，可画出向量图，利用向量图的几何关系来帮助分析和简化计算，从而扩大了求解问题的思路和方法。

The results indicate that there is the significant linear correlation between the decoloration value and half-time and molecular descriptors, especially MW/S and number of azonic groups of azo dyes. Moreover, a QSPR model of azo dyes was achieved and used for calculation of predicted decoloration value and half-time of the dyes.

结果表明，染料分子结构描述符MW/S值、芳香环数目偶氮基数目和与I/O值与脱色率和半衰期之间存在着较好的线性相关性，其中MW/S值和偶氮基数目对脱色率和半衰期的贡献最为显著；所获得的QSPR定量关系模型可用于计算和估计水溶性阴离子偶氮染料的理论脱色率和半衰期。

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。