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This course provides:Simple linear regression and correlation,Measures of model adequacy,Multiple regression,Polynomial regression models,Variable selection and model building,Multicollinearity and Topics in the use of regression analysis.

其内容包括:简单直线回归与相关,模式正确性的衡量,复回归分析,多项式回归模式,变量的选择及模式建立,共线,回归分析应用上的注意事项等。

But at present only for some special cases of complete multipartite graphs, Ohba's conjecture have been verified.

容易发现Ohba猜想成立的条件是当且仅当它对完全多部图成立,但是目前只是就某些特殊的完全多部图的图类证明了Ohba猜想的正确性

The feasibility and validity of the prototype and the multiphase PWM algorithm are verified by experimental results.

仿真和实验验证了本文提出的算法的正确性

To prove one edge union of k-shell graph is cordial, firstly fix the labeling of vertex of common edge(label u with 0 and v with 1), then according to the value of the graph order n module 4 to class the k shell gaphs to four cases, and to divide to small cases in every shell graph.

本文研究k-贝壳图的亲切标号时,在固定了公共边上的点的标号(对u标号0且v标号为1)之后,我们采用如下方法:首先,以每个贝壳图的顶点数对4取模的余数来分类,这样就得到了四种(来源:d1ABC论文网www.abclunwen.com)不同情况的贝壳图;然后在每个贝壳图中再分情形进行标号;最后,通过证明得到这种标号方法是满足亲切标号的定义的,从而证明了k-贝壳图的亲切性,成功的解决了Sethuramam和Selvaraju猜想,证明了其正确性

The equations of dynamics for the balance are established by Kane's method, from which derives the characteristic equation of natural frequency by means of linearization of dynamic equations, and the six natural frequencies being developed according to the theory of vibration. The law of the six natural frequencies varying with mass of the upper platform and the stiffness of the elastic element are presented,and the Finite Element Method is employed to testify the validity of theoretical results.

基于 Kane 方法研究天平的动力学及模态,通过线性化动力学方程建立天平的固有频率方程,依据振动理论推导出并联天平的六阶固有频率及其对应的振型,同时研究了天平的六阶固有频率随敏感单元刚度系数及上平台质量的变化规律,并用有限元法验证理论计算结果的正确性

For raising the calculating efficieney of multibody system dynamic equation, especially moving elastic body, a method for solving nonlinear dynamic equation is presented by combining direct integration and Neumann series.

为了提高多体系统动力学方程,特别是运动弹性体的动力学方程的求解效率,提出了求解非线性的或时变的动力学方程的Neumann级数一直接积分解法。算例表明了该方法的正确性和有效性。

The temperature gradient occurs imperatively and then influences to the image quality and resolution of the space camera. Based on the theory of optical wavefront error and combining the engineering practice, the thermal optical evaluation has been done to the optical window with non symmetric temperature field. The RMS wavefront errors of the optical window have been calculated on each typical position in orbit cycle.

文中结合工程实际,以光学波像差的基本理论为基础对空间相机光学窗口的非轴对称温度场进行了热光学评价,编程计算了空间相机光学窗口在一个轨道周期内各典型位置处的均方根波像差,并把计算结果与美国"天空实验室"光学窗口的相应数据进行比较,以验证本文热光学分析的合理性、正确性

This model is different from the structural dynamics model in a non-inertial reference frame with large overall motions known.

本文从力学基本原理出发,分析了刚柔耦合零次近似理论失效的原因,深入研究了有大范围运动的柔性体变形场的描述,建立了刚柔耦合一次近似的动力学模型;然后利用上述模型,从非惯性系下的结构动力学问题和大范围运动为自由的刚柔耦合动力学问题这两个层次上进行了刚柔耦合动力学建模理论与性态的研究,采用理论和实验相结合的手段来检验了一次近似刚柔耦合动力学模型的正确性

Based on the single-axis air-bearing test bed, three experiment schemes are creatively designed for investigating the behaviors of rigid-flexible coupling dynamics:(1) experiment scheme for structural dynamics problem under a non-inertial frame,(2) experiment scheme for rigid-flexible coupling dynamics with unknown large overall motions,(3) experiment scheme for modal analysis of a typical rigid-flexible coupling system.

为了能更深入地揭示刚柔耦合动力学特性与验证本文提出的一次近似模型的正确性,最后重点介绍了我们在单轴气浮台动力学仿真实验平台基础上,经过多次探索和总结,创造性地设计的三套刚柔耦合动力学实验方案:(1)非惯性系下结构动力学问题的实验研究方案,(2)大范围运动为自由的刚柔耦合动力学问题的实验研究方案,(3)刚柔耦合系统模态分析实验方案。这三套方案从实验的角度来讲是可行的,这为下一步的实验工作打下了基础。

The modeling theories on dynamics of flexible multibody system are reviewed.In chapter 2, the geometric nonlinear relationship between strain and displacement is utilized in describing the nonlinear displacement field. The FEM discrete model of the arbitrary flexible beam in non-inertial frame is derived by the Kane's method.

第二章从几何非线性应变-位移关系描述非线性变形场,使用有限元方法离散三维任意截面柔性梁,用Kane方法对离散的模型建立动力学方程,并通过算例验证了算法的正确性和可行性。

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