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First, an optimization algorithm based on the constant linear velocity mathematical model of the camshaft was proposed according to the least square method to finish the curve optimization and simulation, and the fluctuations of the speed and acceleration curves were reduced.

根据凸轮轴恒线速加工的数学模型,提出一种基于最小二乘法的速度优化算法,对加工过程运动曲线进行优化仿真,得到了波动较小的速度曲线并减小了联动轴加速度的跳动。

Firstly,this paper analyses the operation in theory,it sets up the mathematical model of doubly fed induction generator two-phase rotating coordinate system according to the coordinate transformation theory.

本文以电压波动的工况为出发点,根据坐标变换理论建立了双馈异步发电机在两相旋转坐标系下的数学模型,同时考虑在电网电压不平衡扰动工况下,对此模型进行了进一步的修正。

Based on the elastic theory of large deflection and by taking into account the variation of the axial force and its effects on bending deformation of the drillstring in vertical section,the vibration of the drillstring induced by fluctuating weight-on-bit is described by a parametrically excited system.A Mathieu equation describing the system is established by Galerkin Method.By extending the solution into a Fourier series,the curves of dynamic bifurcation values and the dynamically unstable regions surrounded by the curves are presented.

基于弹性大变形理论,考虑到轴力沿钻柱轴线的变化及其对钻柱弯曲变形的影响等因素,将受自重作用的铅垂井段钻柱在波动钻压激励下的振动转化为一个参数激励系统,用Galerkin方法首次得到了描述此系统的Mathieu方程,并通过将方程的解展成富里叶级数的方法,得到了该振动系统的动力分岔值曲线及其所包围的动力不稳定区。

The establishment of Matrix and Wave mechanics ,is the important incident on the development history of physics of 20th century.

矩阵力学和波动力学的创立,是20世纪物理学发展史上的重要事件。

It is showed that the matrix mechanics and the wave mechanics are equivalent in phase space.

证明了矩阵力学和波动力学在量子相空间表象中的等价性。

This thesis tries to analysis the establishment of Matrix and Wave mechanics, compare the different approaches and two different philosophical interpretations of two different mechanics.

本文尝试通过分析矩阵力学和波动力学的创立过程,来比较两种力学思想进路的不同以及对两种力学形式不同的哲学诠释。

One of the oldest and most commonly used formulations is the transformation theory invented by Cambridge theoretical physicist Paul Dirac FRS, which unifies and generalizes the two earliest formulations of quantum mechanics, matrix mechanics and wave mechanics.

最古老之一和最普通使用公式是变换论,由剑桥理论物理学家保罗·迪拉克皇家学会会员发明,它统一和概括了最早的两个量子力学公式,矩阵力学和波动力学

This article consists of four parts: In the first part of thesis introduced Heisenberg's early years of life and the creation of Matrix mechanics, expounded Münich、G?ttingen,Copenhagen, three places different academic atmosphere which produce to Heisenberg's institute of physics, and revealed how to set up Matrix mechanics by mathematics method; The second part introduce Schr?dinger's university life, the research results, and the establishment of Wave mechanics. The different academic atmosphere of Vienna and Zürich have the difference influence which brings to Schr?dinger's research work, how to establishment the Schr?dinger equation based on Hamilton equation of classical mechanics, and elaborated the physical controversy caused by the equivalent.; The third part analyzed two mechanics different approaches in which the way to propose the question and solve the question; The last part recommend the different philosophy interpretations, Schr?dinger's interpretation onΨfunction, the statistical interpretation of Wave mechanics, uncertainty principle, and which caused this free discussion of quantum mechanics.

文章共分为四部分:第一部分介绍了海森伯的早年生活及其创立矩阵力学的过程,阐明了慕尼黑、哥廷根、哥本哈根三地不同的学术氛围对海森伯的物理研究所产生的不同作用,并揭示了海森伯如何用数学方法建立矩阵力学方程的过程;第二部分介绍了薛定谔的大学生活、研究成果,以及波动力学的创立过程,说明了维也纳和苏黎世不同的学术气氛给薛定谔的研究工作带来的不同影响,解释了薛定谔以经典哈密顿方程为基础建立薛定谔方程的过程,并阐述了等价性所引起的物理争论;第三部分分析了两种力学的思想进路在提出问题、解决问题上的不同;最后一部分介绍了对两种力学形式不同的哲学诠释,薛定谔对Ψ函数的诠释、波函数的统计解释和测不准原理,以及由此引起的量子力学的大讨论。

Using the powerful calculation capability of MATLAB for matrix,and adopting vector ring and vector chain equation,the paper calculates and imitates the characteristic of kinematics and kinetics about equivalent force model of plane machinery.

利用MATLAB软件对矩阵强大的计算能力,采用矢量环与矢量链方程对平面机构的等效力学模型的运动学特性和动力学特性进行计算仿真,主要针对机构的速度波动特性进行了仿真和分析。

From the analysis of the spectrum of black-body radiation, the concept of quantization is introduced and the duality of matter and wave is also introduced.

从黑体辐射之频谱分析开始,引入量子化的概念;进而推出物质与波动之二象性。

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