运动方程

Lorenz modeled the location of a particle moving subject to atmospheric forces and obtained a certain system of ordinary differential equations.

洛伦兹模拟了经受大气力粒子运动而获得普通微积分方程一个确定系统。

And the solutions of arbitrary time-space elastic force equations of time-space variable system multi-linear vectors all are corresponding constant modulus multi-linear vectors, their time-space moving regular are: only change their directions but do not change their moduluses.

而任何时空可变系多线矢的时空弹性力方程的"解"，都是相应的"常模长多线矢"，它在时空的运动规律是：仅改变方向，不改变"模长"。

Based on the model, the gas non-dimension Reynolds equation is listed and studied by the two-dimensional Taylor formula and limited difference method.

根据模型，列出了簧片下气体运动的无量纲雷诺方程，并利用二维泰勒展开式和有限差分法对其进行了分析。

In chapter 1, an up to now synthetically evaluation is given on the research ways and conclusions about jet in cross-flow. Considering the shortage of previous research ways and techniques (the instantaneous flow field and vortices field can not be properly get), in addition to the deficiency of corresponding conclusion (mainly concentrate on the analysis of time-average but little on structures of flow and action of vortex), the research way and content is draft out in this part. Though PIV, the time-average, instantaneous flow field and vortices field can be get, that will unveil the coherent vortex and its course of generation, development and evolvement, with the assistance of K-ε model and Hybrid Finite Analytic Method , which will proof-test the experiment result and bring some complementary, more profound research about the 3-D characters can be done. Using some fundamental topological theory and principle on flow analysis, with anglicizing of vortex structure, a reasonable description is the topological characteristic of near field in JICF given.

首先在第一章中对横流中湍射流的以往研究方法和研究成果给予了综合的评述，针对横流中湍射流旋涡结构以往研究中研究方法的局限性（不能很好得到流动的瞬态流场及涡量场）和相应研究成果中存在的不足（大都集中在时均特性的分析，对流动的内部结构和旋涡的运动阐述很少），明确了本文的研究方法和研究内容：通过PIV流动测量显示技术得到流动的时均及瞬态流场、涡量场，来揭示横流中湍射流的时均、瞬态流场、涡量分布特性，和各种具有拟序结构性质的复杂涡系的产生、发展及演化过程；结合湍流k-ε双方程模型及相应的HFAM计算方法，对于实验进行相互验证和补充，从而更为充分地研究各种旋涡的三维特性；利用拓扑分析的一些基本原理及相关规则，依据对各种旋涡结构的分析，做出对射流近区流场拓扑性质的合理描述。

All assumptions for the method are come from the classical theory of the differential equations of motion of any studied element of a structure. Its dynamic stiffness matrix is the transcendental function of frequency. This transcendental eigenproblem can be solved efficiently by applying the well-known Williams-Wittrick algorithm.

该方法的所有假设仅来自于建立该单元运动微分方程的经典理论，所形成的动态刚度阵是固有频率的超越函数，解决这类超越特征值问题的有效方法是Williams-Wittrick算法。

Last,the authors figures out the parameters of linear transformation equation by the Least-squares method.

用最小二乘法统计方法求出连续视频帧之间运动参数的线性变换方程。

Traditional KF is utilized to identify structural parameters by transformation from dynamic system differential equation to state space, and combining structural parameters and responses in system state vectors in this dissertation.

利用传统KF将动力学系统的运动微分方程转换到状态空间中，然后将待识别的参数同结构的响应—并作为系统的状态向量进行识别。

Based on Hamilton variation principle, the equations of motion for the moderately thick rectangular plate with transverse surface penetrating crack on two-parameter foundation are established.

基于Hamilton变分原理，考虑板的横向剪切变形和地基耦合效应，建立了双参数地基上含横向表面贯通裂纹的中厚矩形板的运动控制方程。

A subject was selected strictly from 30 healthy young people through nasal endoscopic examination, acoustic rhinometry measurement and CT scanning. Based on the CT image data of the subject, digital model of normal nasal cavity was reconstructed through Fluent 6.1.22 software. At the same time, according to the surgical requirements of FESS (remove the uncinate process and open the ethmoid sinus, maxillary sinus, and sphenoid sinus), post-FESS digital nasal cavity model was simulated. The viscous motion of nasal airflow before and after FESS was calculated by Navier-Stokes equations to compare the differences of airflow velocity, distribution, and pressure.

从30例健康青年人中，通过鼻内镜、鼻声反射测定仪及CT检查，严格筛选出一例研究对象，根据该入选对象的鼻腔CT影像资料，利用Fluent 6.1.22软件重建出正常鼻腔的数字模型，同时根据功能性鼻窦内镜手术的要求（切除钩突，开放筛窦、上颌窦和蝶窦）模拟出鼻内镜术后的鼻腔数字模型，再用Navier-Stokes方程对手术前后鼻腔气流的粘性运动进行数值计算，比较内镜手术前后鼻腔的气流速度、分布和压力的差异。

Starting from the classical motion equation of a domain wall in the ferromagnetic system, the analytic wavefunction was obtained by using canonical quantization method and unitary transformation .

从铁磁畴的能量方程出发，利用正则量子化方法和么正变换技术，解析地求得了磁畴量子化运动的波函数。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。