有效公式

The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. The advantage is that the cost function variation is independent of the flow field variation, with the result that the gradient of cost function with respect to arbitrary number of design variables can be determined without the need for additional flow-field evaluations. So each design cycle requires the numerical solution of both the flow and the adjoint equations leading to a computational cost roughly equal to the cost of two flow solutions.

虽然他们的研究成果大多数都可以在公开性文献上看到，但是其中一些具体的细节问题的处理方法却没有透露，比如：伴随方程如何离散求解才能减小最终梯度计算中的误差，使得设计过程有效地进行；伴随方程与流动方程的边界条件是不同的，如何合理地处理伴随方程的边界条件，才能推动设计过程朝着设计目标而发展；在减阻问题中目标函数如何定义，求解梯度的具体数学公式如何推导，如何通过数值方法来实现它们等。

The research contents mainly include: First, the influence of foundation constraint condition to the temperature stress is analyzed, the temperature stress formula of ultra-long concrete anchor plate is deduced, then the influence of length to structure crack can be gotten from the formula. Second, a breathing method is set up to solve the problem of temperature stress in ultra-long concrete constructions. By setting the sliding floor, a breathing system is built up and the temperature stress reduced distinctly. Third, the effect of prestress technique in the control of temperature stress is analyzed, it is simulated and calculated through FEA to get the right way to apply the prestress. Forth, the delay of temperature field and unsteady conduction is considered, the temperature field of ultra-long concrete structure with later poured band is simulated, then temperature stress distribution after casting the concrete is calculated, finally the effect of later poured band to temperature stress of ultra-long structure is analyzed.

本文的研究内容主要包括：(1)分析了基础约束对超长混凝土结构温度应力的影响，推导了超长混凝土地基板温度应力公式，从而得出长度对结构裂缝的影响；(2)针对超长混凝土裂缝问题，提出了一种可呼吸的解决方法，通过设置滑动层，使结构成为一种"可呼吸"体系，从而有效的降低温度应力；(3)分析了预应力技术在控制超长结构温度应力中的作用，通过有限元模拟计算，得到合理的预应力施加方式；(4)考虑温度场的滞后效应及不稳定传导，对带后浇带超长混凝土结构浇注后的温度场仿真模拟，计算浇注后的温度应力分布，分析后浇带对超长结构温度应力的影响。

Composite materials with doubly periodic rigid line inclusions under antiplane shear in an infinite medium are discussed.

利用微结构的周期性和平均应力/应变定理得到了复合材料有效反平面剪切模量的精确公式。

Referring to related newly developed methods abroad,in the paper, the expressions of frequency domain apparent resistivity and its numerical calculating formulae of electromagnetic field of vertical magnetic dipole source for the surface of horizontally layered media have been obtained.

该文参考国外最新发展的方法，求取了水平层状介质表面上垂直磁偶极源电磁场的频域视电阻率表达式及其数值计算公式，并用自编程序计算了几种典型地电断面的视电阻率曲线，以说明这种方法的有效

With the score increasing, the probability of ARAS increased as well. Conclusion This prediction formula is helpful to select the ARAS patients from CAD population, in order to provide them the evidence for further examination.

本研究所建立的简单临床预测公式可以有效的对冠状动脉粥样硬化患者进行初步的筛选，为是否采取敏感度高但较为昂贵的检查进行确诊提供参考。

The uniformly valid asymptotic expansion of the solution to a class of time delay differential equations with damping term and general forcing term was obtained and a simple analytic approximate expression for the resonance solution was given.

对于一类带阻尼和一般力的时滞微分方程问题求得一致有效渐近展开式，给出了共振解筒洁的近似解析表达公式。

The instructive conclusion was: 1 under the vertical loading, the shear-lag effect was produced badly, more severer under concentrated loading than under uniform loading .2 the longitudinal bending deformation of the beam flange was true of the imitating plane assumption of deformation . 3 the width length ratio was confirmed as the first factor working on the shear-lag effect among all the geometric parameters;4 the shear-lag coefficient of simple-supported box-girder was severer than the continuous box-girder, the shear-lag effect in the inner supported section of continuous beam was much more severer, we need paying more attention for it in designing. 5 the non-liner characteristics of material deformation have littlie influence on shear-lag effect in BGCW. 6 the experiential calculating formulation and calculating diagram for the effective flange width was raised with the only factor of the width-span ratio., but the primary location of axis of bending moments should not be changed while calculating the inertial moment .

研究认为：1室内模型试验和空间有限元分析结果均表明波形钢腹板组合箱梁在竖向荷载作用下，翼板出现了典型的纵向应力剪滞效应。2在竖向荷载作用下，截面高度上各点纵向正应变分布认为可符合"拟平截面假定"，以此作为波形钢腹板组合箱梁抗弯计算的基本假定。3箱梁宽跨比是影响波形钢腹板组合箱梁翼板剪滞效应的主要因素。4连续波形钢腹板组合箱梁的翼板剪滞系数大于简支梁，且连续箱梁内支点截面翼板剪滞效应相当严重，对此需十分重视。5当混凝土翼板受力由弹性阶段进入弹塑性阶段时，材料的非线性特性对翼板的剪滞效应影响甚微。6提出了根据组合箱梁的宽跨比参数来计算翼板有效宽度比的经验公式和计算图表，但箱梁截面抗弯惯性矩的计算不应改变原先的截面中和轴位置。

According to experimental data, the ultimate bond stress and bonding-slipping constitutive relation and effective bond length.

根据试验数据回归出基于相对保护层厚度和相对有效粘结长度的极限粘结应力计算公式和粘结应力与滑移的本构关系式。

Then, an ideal random-packed-sphere model with simple cubic, body-centered cubic and face-centered cubic structures is presented to predicate the specific protonic and electronic conductivities of the catalyst layers. A correlation equation of the specific conductivity is obtained and the model is validated by the good agreement between the calculations and the measured data.

然后，分别用简单立方、体心立方和面心立方三种自由堆积球结构首次建立了描述催化层有效质子和电子传导率的理论预测模型，分析了电解质本体电导率、球半径、接触系数和接触角对质子传导的影响，得出催化层有效质子和电子传导率的计算公式，模拟结果与实验数据吻合良好，证实了模型的有效性。

A new formula for the valence band effective states is obtained,and the effect of the conduction band effective states on the built-in electric field is considered for the first time.

重新拟合了价带有效态密度公式，并在计算内建电场时考虑了导带有效态密度的影响。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。