正交性

By using the orthogonality condition of augmented eigeuvector of multibody system, the algebraic equation group with unknowns of structure parameter is formed.

利用多体系统增广特征矢量的正交性条件，可建立以系统物理参数为未知数的代数方程组。

The energy-orthogonal character of Wilson element,Q_1 element,rotated Q_2 element,Bergan 9-parameter triangular element[6],5- parameter[23] and 8-parameter rectangular element[20] is analysed in this paper.

全文提供：购买充值卡，就可下载本篇论文全文中文摘要：本文分析了Wilson元，Q_1元，旋转Q_1元，Bergan 9参三角形元[6]，5节点元[23]和8参数矩形元[20]的能量正交性。

Weak equilibrium condition, orthogonality condition and energy compatibility condition are used to construct high performance elements. An ideal approach is to suppose that stress satisfy these conditions simultaneously, such as the stress mode of CH (0-1) in 2-D case.

弱平衡、正交性和能量协调条件是构造高性能杂交元的三种手段，三个条件同时满足是一种理想的应力设计方案，四边形单元CH(0-l)的应力是这种理想方案的一个代表。

A new computational formula to nonlinear adjustment by parameters, in consideration of the second-order terms, is derived in this paper from the precise orthogonality condition equations to nonlinear least squares by analyzing the direct solving process and iterative computing method of the linearized model.

在分析线性化的非线性参数平差的近似直接解法与迭代解法基础上，利用非线性最小二乘的精确正交性条件方程，推导出顾及到二次项的非线性参数平差的一种新的计算公式。

Ratio transformation between the R and G component is attempted to acquire a ratio image. In the Munsell HSV color space, conjugate incentive algorithm is attempted to fuse H and S component to acquire a fusion image, which is weakly correlated with the ratio image.

通过R与G分量间比值变换得到具有独特信息的比值图像，并在Munsell HSV颜色空间上，利用共轭激励法融合H和S分量图像，针对其与上述比值图像的弱相关性与强正交性，用其构建掩膜，来去除比值图像的背景，实现柑橘识别。

The decomposable character and destructive influence of non-orthogonality of this code is evaluated.

分析了此码的可分解特性，讨论了该码的非正交性对性能带来的影响。

In virtue of the orthogonality of shell modes, the dynamic response to harmonic voltage excitation was determined and its variation was summarized.

利用壳体振型的正交性，确定了简谐电压激励下系统的动态响应，并总结了其规律。

The acoustical radiation power is expressed as a Hermitian quadratic form, while the radiation modes is determined by general eigenvalue decomposing, and then the radiation efficiency is computed via the orthodoxy of radiation modes with regards to impedance matrix and average velocity matrix; lastly, the validity of the method is proved by pulsating sphere and radiating cube with analytical results.

先将结构的声辐射功率表示为一个正定的厄米特二次型，运用广义特徵值分解求解了复杂结构的声辐射模态，然后利用声辐射模态关于阻抗矩阵与均方速度祸合矩阵的正交性，求解了复杂结构的声辐射效率，最后用具有解析解的脉动球与辐射立方体验证了该方法的有效性。

According to the studied results at present, the studied objects are mainly thin plate and beam about sound radiation mode, a method computed sound radiation mode of complex structure is presented in this dissertation, according to the results of the previous two chapter, a theoretical method to solve acoustical radiation mode and acoustical radiation efficiency of complex structure by boundary element method and acoustical radiation theory is posed, the acoustical radiation power is expressed as a Hermitian quadratic form, while the radiation modes is determined by general eigenvalue decomposing, and then the radiation efficiency is computed via the orthodoxy of radiation modes with regard to impedance matrix and average velocity matrix; lastly, the validity of the method is proved by pulsating sphere and radiating cube with analytical results. According to results of the form three chapter, the structure sound radiation sensitivity is studied in detail, the sound radiation power of structure can be expressed as positive Hermitian quadratic form, the sound radiation sensitivity can be expressed as two parts by partial differential with respect to design variable, which are sensitivity of boundary velocity and impedance matrix, combined with the theory of FEM and BEM, the structure sound radiation can be translated to the analysis of structure dynamic sensitivity and impedance matrix sensitivity. The theory posted in this dissertation is tested by the FEM software ANSYS and the software AAS programmed by author.

在前几章的基础上，通过结构声辐射的模态理论对结构的声辐射的机理进行了深入地探讨，针对目前声辐射模态的研究对象主要是简单的板和梁类结构，提出了一种计算复杂结构声辐射模态的方法，利用前两章研究所得的结论，将边界元方法与广义特征值的理论结合起来研究了复杂结构的声辐射模态与声辐射效率，先将结构的声辐射功率表示为一个正定的厄米特二(来源：ABb7C论文0909网www.abclunwen.com)次型，运用广义特征值分解求解了复杂结构的声辐射模态，然后利用声辐射模态关于阻抗矩阵与均方速度耦合矩阵的正交性，求解了复杂结构的声辐射效率，最后用具有解析解的脉动球与辐射立方体验证了该方法的有效性。

The orthogonality of the modal functions is employed to decouple the governing equation into a set of infinite ordinary differential equations that are independent of each other.

将梁的控制方程写作状态变量的形式，然后利用复模态的正交性可解耦为无穷多个彼此独立的常微分方程组。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。