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The family of quaternions plays a role in quantum physics, geostatics, control theory and peg-top technology. It is important to know and research quaternions as the development of quaternions. Thus the real representation of quaternion matrices has been appeared.

近年来,四元数矩阵在刚体力学,量子力学,控制理论和陀螺技术中的应用日趋重要和广泛,随着上述四元数力学的不断发展,对四元数矩阵的进一步认识和研究就显得越来越重要。

With the compare of research methods such as direct experiment, indirect method and numerical simulation method, and with the applied background of the Virtual Prototype technology, the paper puts forward a new strategy for the design of the testing device for dynamic response of road based on Pro/E、 ADAMS and ANSYS software. On the basis of the theory, this paper analyze the scheme and the important parts, and has proposed that actual modeling parameter, pattern and arrangement scheme, and structured the complete machine scheme of a testing device for testing road dynamic response based on dynamic load of vehicle-road.

本文在系统分析了各种车路系统动载荷研究方法的基础上,针对直接试验方法、间接试验方法和数字仿真方法的发展,并结合"虚拟样机"技术的应用背景,提出了一种基于Pro/E、ADAMS和ANSYS软件的基于车路动载荷的测试路面力学响应的试验装置的虚拟样机的实现策略,并在此基础上,对方案和重要部件进行了分析,提出了实际的建模参数、型式和布局方案,构建了一种基于车路系统动力学的测试路面动态力学响应的试验装置的整机方案。

The mechanics condition of ductile fracture of pressure vessel materials and their relations to the fracture criteria were investigated based on the micromechanics .

应用细观力学的观点分析了压力容器材料韧性断裂的力学条件,并考察了其与断裂参量的关系。

Recently national micromechanics theory of granular material may deeply help to study the mechanical properties in granular material.

我们更应该根据其内部颗粒接触的实际情况,从细观力学角度应用不连续介质理论去研究其力学性质。

The results show that the equations have benefit to the deduction of the pantograph's mechanical differential equations.

研究结果表明:利用升角与升弓高之间的关系,可简化受电弓运动微分方程的推导;应用所建立的力学模型、实测数据以及简化公式可更准确地分析和计算弓网系统的力学行为。

From proposing the problem to solving them, this thesis follows the researching method of from generality to specialty, also puts the mathematic knowledge of boundary value problem and the singular integral equation into the use of elastic mechanics and fracture mechanics, which shows the thought of combining the theory with the practical use. Throughout the thesis, the tendency that different branch of science is in fusion and penetration can also be found.

本文从提出问题到解决问题遵循由一般到特殊的研究方法,把边值问题和奇异积分方程等数学知识应用到断裂力学,弹性力学中,体现了理论联系实际及边缘学科间相互渗透的思想。

Based on the similarity theory,mechanical analysis of the launching of ship′s slipway is carried out by means of hydraulic simulation experiment,esp.

依据相似理论,对船舶滑道下水这一复杂力学过程进行了力学分析并应用水力模拟试验的手段进行了探讨性研究,特别是就结构复杂的船架所受的水流绕流阻力的模拟做出实质性的探究。

The quenching process computer simulation combined with practical production was developed based on the synthesizing of the present sophisticated achievements of numerical algorithm, heat conduction, thermotics and transformation dynamics, solid mechanics analysis, and the accuracy of model was testified. The studies of this dissertation made an attempt on the application of quenching simulation into the practical productions.

综合现有先进的数值算法、传热学、相变动力学和固体力学分析的研究成果,对淬火应力场进行结合实际生产计算机模拟,并验证了模型的准确性,为淬火模拟应用于实际生产作了初步尝试。

It is well known that elastic deformations are characterized by complete recovery to the undeformed configuration upon removal of the applied loads.

塑性力学是固体力学的重要分支之一,着重于论述与非弹性不可逆变形相关的基本概念和原理,在结构非线性变形分析,压力加工等工程技术中有着广泛的应用。

Deduct the formula of compressibility of vug with mechanics of materials and elasticity.

应用弹性力学和材料力学的理论,得到了溶洞压缩系数的计算公式

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