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Based on projective geometry, the research works about 3D invariance's extractionand application have been done in this thesis as following:(1) The basic theories andconcepts in projective geometry are systematically summarized. It includes: the cameramodels of perspective imaging, projective collineation, cross ratio, a simple compare aboutinvariance among some geometry transformations, fundamental matrix, epipolarand epipolar line in epipolar geometry, and so on.

基于射影几何理论,论文围绕3D不变特征的提取和应用进行了如下的研究工作:(1)系统总结了射影几何中的若干基础概念,包括:透视成像的相机模型、射影对应、交比不变量、基于不同几何变换下的不变量的简单对比、对极几何中的基础矩阵、对极点、对极线等。

Then, according to Radau collocation method, the dynamic optimization problem is converted to a nonlinear programming one that contains continuous and discrete variables.

根据Radau配置法将动态优化问题转化为连续变量与离散变量并存的非线性规划问题。

According to Radau collocation method,the dynamic optimization problem can be converted to a nonlinear programming problem which contains both continuous and discrete variables.

根据Radau配置法将动态优化问题转化为连续变量与离散变量并存的非线性规划问题。

The theory of functions of a complex variable is the extension of calculus to complex variables.

复变函数是微积分的内容从实变量到复变量的扩展。

Traffic-flow is a time-varying nonlinear system that is comparatively complex in structure and internal variable.

交通流量是一个时变的非线性系统,其内部变量、输入变量众多,结构复杂。

Laplace transform is to simplify the calculation and the establishment of the function is variable and complex variables of a function transformation.

拉普拉斯变换是简化计算而建立的实变量函数和复变量间的一种函数变换。

Equal forms with multiobjective function optimization of composite structure,which is suitable for genetic algorithm solving, is constructed.

用评估函数法构造了适用于遗传算法求解的复合材料结构多目标优化问题的等价表达形式,给出了离散变量与连续变量混合优化问题解的染色体表示。

Equal forms with multiobjective function optimization of composite structure,which is suitable for genetic algorithm solving, is constructed. Expression of optimal problem with chromosome including discrete mixed with continuous variables are established.

用评估函数法构造了适用于遗传算法求解的复合材料结构多目标优化问题的等价表达形式,给出了离散变量与连续变量混合优化问题解的染色体表示。

The (0,1) placement variables are treated as continuous variables and then rounded after the optimization. The computational formula of the sensitivities of the freevibration frequency with respect to placement variables is derived.

在压电材料组成的桁架结构的自由振动频率优化设计中,提出了压电杆件配置的(0,1)设计变量并将其连续化处理,推导了压电桁架自振频率对该设计变量的灵敏度计算方法。

Results indicate that when the strain rate is 1200 s-1, the twin number of samples in different orientation increases with plastic strain increasing; when the strain rate increases to 2800 s-1, the σ-ε curves have no obvious charges as the angle is 0o and 45o, compared with that at 1200 s-1; however the σ-ε curves vary from concave to convex when the angle is 90o, because thermal softening has occurred with increasing plastic strain, which results in the number of twin decreasing, and smaller strain hardening

结果表明:当加载应变率为1200 s-1时,不同取样方向的样品中孪晶数量均随塑性变形应变量的增大而增多;当加载应变率增大到为2800 s-1时,取样方向为0°和45°、流变曲线形状较应变率为1200 s-1时没有明显变化,而取样方向为90°时曲线形状由应变率为1200 s-1时的凹形变为凸形,曲线形状变化的原因是由于应变量增大,热软化效应使得孪

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