模方程

The model was solved by the Ritz method, and the orthogonal polynomials generated by the Gram-Schmidt process were employed as admissible function for both disk and blades. With this approach, the matrix derived from kinetic energies becomes diagonal and numerical manipulation can become easy and stable.

采用Gram-Schmidt方法生成正交多项式作为李兹容许函数进行模型的离散化，简化了所得到的频率方程求解过程，有利於求解过程的数值稳定性，并可方便地通过对方程系数性质的分析了解结构振动模态的性质。

In order to analyze the vibration characteristics of the high speed dick system,which was an important component of the submuniton angular motion hardware-in-the-loop simulation,the mechanics model was firstly derived.

为了分析子弹角运动半实物仿真装置中快圆运动系统的固有频率及其对整个装置的影响，利用La-grange方程建立了快圆运动系统的动力学方程，得出该系统的质量矩阵和刚度矩阵，对其进行模态分析；同时利用有限元软件仿真，验证了理论分析结果。

This study uses the soil parameter reduction coefficients to model the seismic pile responses affected by liquefied soils. One dimensional wave equation analyses were conducted for the solutions. Based on the bore-hole data and nearby seismic record, the soil parameter reduction coefficients of liquefied layers can be obtained through a pre-analysis for liquefaction potential of the site. The reduction coefficients were used to reduce the soil modulus for liquefied soils, and the lumped mass analysis is performed to obtain the free-field response of the site. The ground deformations are superimposed onto the pile elements for discrete wave equation analysis, and the non-linear pile responses can be simulated through the modified Bouc-Wen model. Thus the deformations and failure mechanism of the pile are able to investigate.

中文摘要本研究之土质参数折减系数模式，系以一维波动方程模拟地盘液化状态下之桩基础动力反应，依据现场土层钻探资料与邻近测站之地震纪录，由土壤液化潜能评估法配合日本相关规范求得液化土层之土质参数折减系数，以此系数对土壤强度模数进行折减，并使用集中质块法求取自由场之地盘液化反应，再以此为前置解作用於桩基础之波动方程求解，桩身刚度以简化之Bouc-Wen模式模拟其非线性行为，以了解液化地盘内基桩之变形行为与破坏机制。

And the equation of free vibration, which settle for the displacement compatibility condition is presented.

在两端简支的边界条件下，推导出基于正交异性理论的自由振动特征方程；使用模态分离的方法，推导出位移和变形协调条件的自由振动方程。

First, we introduce the concept of polarizable Carnot group and give some new properties of its homogeneous norm. Then we construct a class of non-divergence equations as well as their nontrivial solutions. The failure of corresponding A-B-P type estimate and uniqueness to the Dirichlet problems in space~ follow.

首先引入可极化Carnot群的概念，给出了可极化Carnot群上齐次模的若干性质，然后构造了一类非散度型次椭圆方程及其非平凡解，由此证明此类方程Dirichlet问题的解在函数空间L~中不唯一，进而证明相应的Alexandrov-Bakelman-Pucci型估计不成立。

Therefore, it is essential to design flight controllers with high non-linear control ability and robustness for hypersonic aircrafts.

为了掌握高超声速飞行器复杂的动态特性，建立了其模型的微分方程，方程包括刚性和弹性模态。

The proposed method applies the ellipsoid invariant set to the estimated state and state estimation error. The conditions of invariance and feasibility of estimated state, as well as the stability of the closedloop system are given.

该方法采用双模控制策略，将不变椭圆集概念同时应用于观测器的状态方程和误差方程，给出估计状态不变性和控制输入可行性条件并给出了闭环系统的稳定性定理。

In accordance with the situation that the damping was the non-classical damping,the structure was asymmetric,and random wind spectrum was irrational fraction wind spectrum,the equations obtained were decoupled with the complex mode theory.

建立运动方程，用第一振型将主体结构展开，针对非经典阻尼和非对称结构以及脉动风谱为非有理分式风谱的情况，运用复模态理论将所得方程进行解耦，获得了以第一振型表示的结构随机风振响应的解析解。

Analysis of moduli data with the theories of Budiansky and Kerner disclosed dual phase continuity of polymer Ⅱ was decreased with increase of SBS content.

通过Budiansky方程和Kerner方程对动态模量数据的分析表明，IPN样品具有两相连续性，且随SBS组分含量的增加，聚的连续程度降低

The CMS formulation was got in the condition that substructures were in different modal base.

推导了不同子结构分别采用固定界面模态集和自由界面模态集时的综合方程。

He and Nina moved to California and lived at 2005 Ivar Street, Apt.

他和Nina搬到加州，并在2005年伊瓦尔街，公寓生活。

Droperidol （ potently inhibits transfected HERGchannels and this is the probable mechanism for QT prolongation.

氟哌利多有效地抑制了转染的 HERG 钾通道，可能是 QT 间期延长的机制。