数学模型

By observing and analyzing 3D structure of apple flower and inflorescence, we raised the 3D structure mathematical model of anthocaulus, receptacle, calyx, petal, androecium and pistil. At the same time, we get model parameter, integrate the apple flower and inflorescence topology structure information, reconstructed 3D structure of apple flower and inflorescence.

通过对苹果花及花序形态结构的观测分析，分别提出了描述花柄、花托、花萼、花瓣、雄蕊和雌蕊三维形态结构的数学模型，并提取了模型的控制参数；进一步整合苹果花及花序的拓扑结构信息，实现了苹果花及花序的三维重建。

Firstly, mathematical models for describing the 3D structure of anthocaulus, receptacle, calyx, petal, androecium and pistil are proposed basing on observing and analyzing the 3D structure of apple flower and inflorescence. At the same time, parameters for controlling these models are extracted. Secondly, the reconstruction of 3D structure of apple flower and inflorescence is implemented by integrating its topological structure information.

通过对苹果花及花序形态结构的观测分析，分别提出了描述花柄、花托、花萼、花瓣、雄蕊和雌蕊三维形态结构的数学模型，并提取了模型的控制参数；进一步整合苹果花及花序的拓扑结构信息，实现了苹果花及花序的三维重建。

The main work and the originality points of this dissertation could be concluded as the following parts:(1) To analyze systematically the mathematical model of LES of air flow in great space, under the case of isothermal and non-isothermal, as well as the combined action of buoyancy and strain. Some basic problems are studied about the LES application into airflow simulation of great space, such as boundary conditions, spatial difference scheme and time advancing scheme, time step etc., which creates the basis for the LES application to indoor airflow simulation.(2) Both the instantaneous and time averaged flow field of great space with multiple jets under isothermal and non-isothermal cases are explored with large eddy simulation method, and also discussed the dynamic characteristics and the law of fluidflow in the great space.(3) Based on the results of LES of the great space and the Fanger thermal comfort indexes, it is brought forward the concept of the series of dynamic thermal comfort evaluating indexes, which could be divided into thermal comfort index with time averaged properties PD, PPD, PMV, thermal comfort index with instantaneous properties IPD, IPPD, IPMV, and time averaged thermal comfort indexes TAPD, TAPPD, TAPMV, and transient situations time averaged thermal comfort indexes TTAPD, TTAPPD, TTAPMV. The differences among them and the calculation methods are discussed, and the four kinds of indexes are calculated with the thermal comfort index PD as an example.(4) Based on the LES results it is discussed the hot air stratification phenomena in air-conditioned buildings in the case with air supply and return registers on the ceiling and the case on the sidewall. The fundamentals of the hot air stratification are studied and the relations of estimating hot air stratification are brought forward.(5) With the advanced apparatus such as hot wire film anemometer IFA300 and laser particle field anemoscope, corresponding model test and site measurements have been done, which are compared with the simulation results and LES is proved a very promising method in air flow simulation indoor.

本文主要工作既创新点体现在以下几个方面：(1)系统分析了等温、非等温和考虑剪切力与浮升力综合作用的高大空间大涡模拟数学模型，并研究了高大空间大涡模拟在室内气流仿真应用中的一些基本问题，如边界条件、空间离散格式和时间推进格式、时间步长选择等问题，为大涡模拟在室内气流计算中的广泛应用打下了基础；(2)首次用大涡模拟方法研究了高雷诺数下高大空间多射流在等温、非等温情况下的瞬时流场和时均流场分布，并探讨了多射流流场的动态特性和流动规律；(3)基于大涡模拟的动态仿真结果和Fanger的热舒适指标，首次系统地提出了动态热舒适评价指标体系的概念：即基于时间平均参数的热舒适指标PD、PPD、PMV；基于瞬时参数的瞬时热指标IPD、IPPD、IPMV；基于时间平均热舒适指标TAPD、TAPPD、TAPMV；以及沿行动迹线的时间平均热舒适指标TTAPD、TTAPPD、TTAPMV，并分析了四类热舒适指标的差异性和计算方法，还以PD值为例对四类指标分别进行了计算；(4)基于数十种工况下空调房间大涡模拟的结果，研究了空调建筑上送上回和侧送侧回两种情况下热分层现象，并探讨了热分层的基本规律，首次提出了避免热分层现象的判断公式；(5)在暖通空调领域，首次使用IFA300热线风速仪、激光粒子速度场仪等先进设备，完成了与大涡模拟相对应的模型试验，并把实测结果与仿真结果进行了对比，说明LES在室内气流仿真方面是一种很有前景的方法。

The stress distribution on the wall of directional well is analysed, and a borehole stability model for the formation with dip angle in directional well is established. The influences of dip angle and trend on borehole stability are discussed.

建立了弱面地层数学模型，分析了斜井井壁岩石应力状态，推导出了井壁岩石最大主应力与低强度地层法向夹角的计算公式，建立了用于大倾角地层钻井液密度安全下限的力学模型，详细分析了倾斜地层的倾角和走向对井壁稳定性的影响。

A ship course controller is designed for Norrbin nonlinear ship mathematical model with matching uncertainty. Combining the backstepping algorithm with the nonlinear damping algorithm to design controller, the nonlinear damping is used to cancel the uncertainty. The integral item is introduced in the design to improve the performance of the controller. Now, general ships can only use the electric gyrocompass to measure the course angle, but they have no equipments to measure the angular velocity, so in this article another ship course controller of output feedback is designed for Norrbin nonlinear ship, firstly the angular velocity is estimated by the observer and then the ship course controller is designed.

本文基于含有匹配不确定项的Norrbin非线性船舶数学模型，将backstepping算法和非线性阻尼算法相结合设计船舶航向控制器，利用非线性阻尼来抵消系统的不确定项，同时为了更好地改善系统的性能，在设计过程中引入了积分项；由于目前一般船舶只有电罗经用于测量船舶的航向角，还没有测量船舶航向角速度的设备，因此，针对Norrbin非线性船舶模型设计了一种输出反馈控制器，首先利用观测器对船舶航向角速度进行估计，然后再设计船舶航向控制器。

The hardware in conventional system simulation model is replaced by the mathematics model, so it can not achieve anticipative effect.

传统的系统仿真模型中的硬件环节由数学模型所代替，往往达不到预期的理想控制效果。

Two kinds of numerical analysis model are put forward, and its applicability is discussed.

建立了两种便于实际操作的阻尼器在结构振动分析中的计算模型，并分别对两种数学模型的适用性进行了评价。

One is the research of the arc model...

一个是对电弧模型的研究，主要为磁场作用下空气中运动的电弧建立数学模型。

In the dissertation,the physical and mathematical model for a assembly room with displacement ventilation system are established.

本文针对一个采用置换通风系统的典型会议室，建立了物理模型及数学模型，采用k ？

The mechanism and dynamic model of ASVG is introduced in this article at first. Then the authors point to the problems of running and control of ASVG under asymmetric conditions of power system, and put forward the asymmetric expert PID control law. Under the experimental condition of 10%negative voltage, the simulated results are given.

论述了ASVG的工作机理和在系统电压对称时的动态数学模型，并针对系统电压不对称时ASVG的运行与控制问题，分析了系统电压不对称时的被控对象模型，提出了恒电压不对称专家PID控制方法，给出了系统有15%的负序电压时的仿真结果。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。