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Considering the mechanical and electrical boundary conditions of AlN/GaN structures, determinantal equation which is used to solve the phase velocity of surface acoustic wave is given from the basic principle of matrix methods.

从矩阵方法的基本原理出发，结合AlN/GaN结构的机械和电学边界条件，推导出用于求解声表面波在AlN/GaN结构中的相速的行列式方程。

What differ from that of the researchers in the past is the consideration of the direction of Hopf bifurcation with Dirichlet boundary condition , that is, the conditions when the Hopf bifurcation periodic solutions are orbitally asymptotically stable with asymptotic phase.Our basic idea come from the results given by Tang[30]. We adopt the method used by Hassard in the Hopf bifurcation theorem in [24], which is to judge the existence and the direction of Hopf bifurcation, and the stability of the Hopf bifurcation periodic solutions.

与以前的研究者不同的是，本文不仅讨论了在Dirichlet边界条件下系统的Hopf分支在以扩散系数为分支参数的情况下的存在性和分支周期解的空间非齐次性，而且更多的关注了系统在Dirichlet边界条件下Hopf分支解的稳定性及Hopf分支的方向，也即系统定态解在何种条件下，当分支参数如何变化时产生Hopf分支且分支周期解是带渐近位相轨道渐近稳定的。

During the calculation the results got by quintic spline kernel was the best so it was chosen as the proper kernel for the SPH simulation. By comparison of the simulation results got by SPH and finite volume method, it was proved that the buffer cells method proposed in the SPH simulation to implement the Dirichlet boundary conditions was accurate, and this is of great importance for the simulation of flows pass a pipe. At last, the SPH method was improved to simulate the liquid-solid two phase flows and the results show that this method was appropriate for the simulation of flows containing viscous fluid and macroscopic solid components. Now the two methods are both able to predict the continuum flows and rarefied flows severally, but the hybrid program still has some aspects to be improved.

首先用标准算例验证了SPH方法的理论模型和计算程序的准确性；通过比较确定选用五次样条核作为计算低雷诺数下的粘性连续流动时的核函数；采用SPH方法和有限体积法分别对同一管道流动进行了对比计算，证明了本文提出的边界缓冲区方法在实现SPH方法中的流体边界条件时的有效性，解决了SPH方法模拟管道流动时的一个关键问题；巧妙地使用SPH方法对化工分离流动中常见的固液两相流及固液耦合作用进行了模拟尝试，获得了较好的结果；在跨尺度计算方面，目前两个子程序已经能够分别模拟连续的和稀薄的二维管流问题，二者的耦合计算程序还处于调试和优化阶段，各个参数对于计算精度和计算速度的影响规律仍在探索中。

For adding MnO samples, the (Ba2-yMny)TiO4 phase was detected on the grain boundary due to excess divalence Ba2+ and Mn2+ ions.

添加Mn2+离子则会在晶界产生(Ba2-yMny)TiO4相。

Based on the high-resolution sequence stratigraphy and subsidence analyses of 73 wells in the Beryl Embayment, Viking Graben, North Sea , this paper tries to describe the sedimentation and subsidence models of the Middle-Late Jurassic syn-rift phase, andto determine the timing and location of boundary fault linkage and variation of active extension directions, and their control onsedimentation and .

根据北海维京地堑Beryl淘73口井的高分辨率层序地层学分析和高分辨率沉降分析，阐明中、晚侏罗世沉积和沉降模式，确定应力场的变化及边界断层的连锁对沉积和含油气系统的控制作用。

Firstly, according to electromagnetic field theory, the 2-dimensional (2-D) mathematical model of a three phase squirrel-cage Y802-2 induction motor is developed. Then general equations can be deduced from finite element discrete and functional analysis. The motor's 2D solving region of electromagnetic field is given based on the boundary conditions and assumption conditions of the squirrel-cage induction motor. Through finite element mothod and inner–outer convergence method, magnetic field distributions and magnetic forces of bars can be calculated in following rotor conditions: health rotor, one single broken bar, two adjacent broken bars, two broken bars with one good interval, two broken bars with two good interval and four adjacent broken bars.

本文首先根据电磁场理论建立Y802-2型三相笼型感应电动机二维电磁场的数学模型，并对其进行了有限元离散以及泛函分析，推导出总体方程；在基本假设和边界条件基础上，给出笼型感应电动机二维电磁场的求解区域，然后应用有限元并结合内外双收敛方法，对样机稳态运行进行数值计算，得出电机在转子完好、一根导条断裂、连续两根导条断裂、间隔一根两根导条断裂、间隔两根两根导条断裂及连续四根导条断裂六种情况下的磁场分布和导条所受电磁力的变化情况。

The motion of phase interface,the temperature distribution and the thermal storage time of the cool storage slab under the first boundary condition were obtained.

相变传热问题的难点由于在求解域中存在一个随时间变化的两相界面，且在界面上物质会吸收或放出潜热。

Based on the Biot s two-phase theory for fluid-saturated porous media, considering the inertia force of the solid and the liquid, and the coupling function between the solid and the liquid, and the compressibility of the liquid in allusion to the character of the nearly saturated soils. The dynamic governing differential equations are solved by Hankel transform. Then, considering the boundary condition, the dual integral equations of vertical vibration are established which are reduced to Fredholm integral equation of the second kind.

本文基于Biot两相介质动力固结理论，针对准饱和土地基的特点，考虑了流体的可压缩性，土体和流体的惯性及水土之间的耦合作用，运用Hankel变换技术求解动力控制方程，然后按混合边值条件建立起对偶积分方程，并将其化为易于数值计算的第二类Fredholm积分方程，分别研究了准饱和土半空间地基、上覆单相弹性层的准饱和土地基和准饱和粘弹性地基上刚性基础的竖向振动特性。

After that, the analytical formula of the free boundary variable s versus time variable t in the two phase cylinder group melting process. The formula is important to study the factors affecting the group melting.

求出两相圆柱团熔融过程中固液界面s与时间t的解析表达式，它对分析研究影响物料团熔融的相关因素起着重要作用。

Base on the Fluent software,the time-average N-S equation,RNG k-ε turbulence modeling,P1 radiant modeling and particle track modeling,example for boost motor PQM-1 of Titan 4,by using flow-solid coupling boundary condition,the 2D axial symmetry gaseity fluid modeling and two phase fluid modeling were founded and the influence of coagulate particle to the flame-spread process in large aspect ratio SRM ignition transient were analyzed.

0引言固体火箭发动机点火过程是点火燃气流动与火焰传播相互耦合的过程，即包括点火燃气流动、药柱加热、局部点燃、火焰传播、室压建立等复杂的非定常过程，其中火焰传播在点火瞬态过程中占有重要地位，是发动机点火延迟、压强峰值过高、断续燃烧和熄火的主要因素，因此国内

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。