环上六质点系统的内部振动

用直接求解微分的方程的方法,分析了一维环上六个全同质点系统的简正模问题,得到了比现有文献结果更多的一些新的内部振动模式     

用Matlab软件求单摆的运动

直接从单摆的运动微分方程出发,应用Matlab软件,求出了线性单摆阻尼振动的解析解和非线性单摆无阻尼振动、阻尼振动的数值解;画出了单摆的振动曲线和相图.     

Parametrically excited oscillation of stay cable and its control in cable-stayed bridges

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Embedding ensemble tracking in a stochastic framework for robust object tracking

We propose an algorithm of embedding ensemble tracking in a stochastic framework to achieve robust tracking performance under partial occlusion, illumination changes, and abrupt motion. It operates on likelihood images generated by the ensemble method, and combines mean shift and particle filtering in a principled way, where a better proposal distribution is designed by first propagating particles via a motion model, and then running mean shift to move towards their local peaks in the likelihood image. An observation model in the particle filter incorporates global and local information within a region, and an adaptive motion model is adopted to depict the evolution of the object state. The algorithm needs fewer particles to manage the tracking task compared with the general particle filter, and recaptures the object quickly after occlusion occurs. Experiments on two image sequences demonstrate the effectiveness and robustness of the proposed algorithm.     

Parametrically excited oscillation of stay cable and its control in cable-stayed bridges

This paper presents a nonlinear dynamic model for simulation and analysis of a kind of parametrically excited vibration of stay cable caused by support motion in cable-stayed bridges. The sag, inclination angle of the stay cable are considered in the model, based on which, the oscillation mechanism and dynamic response characteristics of this kind of vibration are analyzed through numerical, calculation. It is noted that parametrically excited oscillation of a stay cable with certain, sag, inclination angle and initial static tension force may occur in cable-stayed bridges due to deck vibration under the condition that the natural frequency of a cable approaches to about half of the, first model frequency of the bridge deck system. A new vibration control system installed on the cable anchorage is proposed as a possible damping system to suppress, the cable parametric oscillation. The numerical calculation results showed that with the use of this damping system, the cable oscillation due to the vibration of the deck and/or towers will be considerably reduced. Project supported by National Natural Science Foundation of China (No. 59978044)     

SVM颗粒运动形态及其能量耗散的预测分析

基于离散单元法建立了圆柱形颗粒阻尼器的仿真模型,研究了阻尼器内颗粒在不同激振条件下的运动形态及其能量耗散大小。为了获取两者之间的定量关系,应用基于网格搜索法(GS)的支持向量机(SVM)建立了颗粒运动形态的分类预测模型及其能量损耗的回归预测模型,对颗粒运动形态的分布及其能量损耗的大小进行了预测,并通过仿真进行了验证。结果表明:基于GS方法优化的SVM能够建立一个预测准确度很高、推广泛化能力很强的分类和回归预测模型,该预测模型不仅能够很好地揭示颗粒系统在不同运动形态下的能量耗散的变化规律,而且还能在较大的激振条件范围内确定系统能量耗散最大值及对应的运动形态。     

圆锥摆模型

由圆锥摆模型,引入同频率、同振幅、振动方向互相垂直的简谐振动的合成和简谐振动的旋转矢量表示法,化抽象的理论为形象的内容,这是学生易于接受、符合教学规律的教学方法。     

Fluid dynamics of a liquid in a U-shaped tank

Using the unsteady Bernoulli equation, we find solutions for the oscillatory motion of an incompressible and non-viscous liquid in a U-shaped tank. Alternative expressions for height-vs-time relation and the period are obtained through a transformation formula of the elliptic integral of the second kind. From the viewpoint of the mechanical energy conservation, the motion of the free surface can be interpreted as the motion of one particle in a restoring effective potential. This article provides an instructive example of the application of unsteady Bernoulli equation at an undergraduate level.     

六质点链中的质点关联

讨论了一维六质点系统在弹性内力作用下的质点—质点关联．确定出各个简正频率下系统的内部运动特征     

Large eddy simulation of a particle-laden turbulent plane jet

Gas-solid two-phase turbulent plane jet is applied to many natural situations and in engineering systems. To predict the particle dispersion in the gas jet is of great importance in industrial applications and in the designing of engineering systems. A large eddy simulation of the two-phase plane jet was conducted to investigate the particle dispersion patterns. The particles with Stokes numbers equal to 0.0028, 0.3, 2.5, 28 (corresponding to particle diameter 1 μm, 10μm, 30μm, 100μm, respectively) inRe=11 300 gas flow were studied. The simulation results of gas phase motion agreed well with previous experimental results. And the simulation results of the solid particles motion showed that particles with different Stokes number have different spatial dispersion; and that particles with intermediate Stokes number have the largest dispersion ratio. Project (No. G19990222) supported by the Special Funds for Major State Basic Research of China     

带电粒子在磁场中的运动和能量

研究了带电粒子分别在均匀磁场、均匀变化磁场中的运动和能量。     

嵌入式行星螺杆挤出机内流场混沌行为研究

基于有限体积方法,对嵌入式行星螺杆挤出机内流场进行了三维等温数值模拟。通过简化的物理模型来模拟螺杆的几何结构,使用用户自定义程序设定了行星螺杆运动的边界条件。分析了挤出机螺槽内压力和速度的分布;使用粒子追踪技术观察了螺杆内流体运动轨迹和粒子分布规律;对粒子在螺杆内的停留时间分布进行了统计。结果表明行星螺杆对流体运动产生了周期性扰动。初始位置在一起的两个粒子,终点位置却相距很远。示踪粒子的具有对初始敏感的混沌特性,粒子的运动轨迹具有无序性,说明流体存在着混沌效应。     

Gaussian particle filter based pose and motion estimation

Determination of relative three-dimensional (3D) position, orientation, and relative motion between two reference frames is an important problem in robotic guidance, manipulation, and assembly as well as in other fields such as photogrammetry. A solution to pose and motion estimation problem that uses two-dimensional (2D) intensity images from a single camera is de- sirable for real-time applications. The difficulty in performing this measurement is that the process of projecting 3D object features to 2D images is a nonlinear transformation. In this paper, the 3D transformation is modeled as a nonlinear stochastic system with the state estimation providing six degrees-of-freedom motion and position values, using line features in image plane as measuring inputs and dual quaternion to represent both rotation and translation in a unified notation. A filtering method called the Gaussian particle filter (GPF) based on the particle filtering concept is presented for 3D pose and motion estimation of a moving target from monocular image sequences. The method has been implemented with simulated data, and simulation results are provided along with comparisons to the extended Kalman filter (EKF) and the unscented Kalman filter (UKF) to show the relative advantages of the GPF. Simulation results showed that GPF is a superior alternative to EKF and UKF.     

关于一类受非线性非完整约束航天器的运动

应用动能定理建立了常速率运动航天器的数学模型并求出两组稳态解.首先将动能定理推广到受非线性非完整约束系统.对于受速率为常数约束的运动质点,可以应用动能定理建立其运动微分方程.最后得到该方程的两组特解.     

质点运动的描述

指出了绝对静止系，绝对匀速运动系，绝对加速运动系，惯性系，非惯性系并不存在，确定了相对静止系，相对匀速运动系，相对加速运动系的概念，用位于参照系中的线位置矢量，运动方程，运动轨道描述了质点的运动。     

转动系统的微幅振荡

由力学积分变分原理导出了第二类拉格朗日方程，得出了转动系统微幅振荡的运动微分方程组，求出了系统相对平衡状态应满足的条件，且讨论了微弱转动对正则振型的型态和频率的影响，得到了频率修正表达式．     

对一维平面转动系中质点运动的分析

通过对一维平面转动系中质点运动的一个问题的讨论,分析了平面转动系与极坐标系之间的关系,得到了极坐标系中加速度各项的“物理意义”.     

通过带有调节器量子线的光场辅助隧穿

The paper studies photon-associated transmission through a quantum wire with a side-coupled stub tuner,to which an external microwave field applies,in terms of the approach developed by Cai.The inelastic scattering of an incoming electron and thd photon field lead to photon-electronic transmission though quantum wier.It is found that single photon absorbing (emitting) of the incoming electron in the stub can bring about antiresonant transmission in the quantum wire.The influence of the feedback mechanism from inelastic scattering process on elastic channel transmission is also examined.Total transmission coefficient as a function of photon energy exhibits non-periodic oscillation peaks.With the increasing of photon-electron coupling constant,the amplitude of these oscillation peaks enhances.     

带电粒子在均匀恒定正交电磁场中的运动

根据运动方程 ,讨论带电粒子在均匀恒定正交电磁场中的运动 ,并通过简明的物理分析 ,理解粒子的运动规律及其轨迹的形成     

基于物理属性和粒子系统的自然景物建模方法实践

In virtual environment construction of natural scenes, high realism of the scenes and real time control to the objects in the scene are needed. With a modeling method based on physical properties and a particle system, together with a mipmapping texture technique, good integration between realism and real time control of the natural scenes such as clouds and smoke can be obtained. This paper briefly introduces the basic theory of particle system first, and then describes the construction method of a cloud and smoke particle system. By changing the values of physical properties in the particle system, different shapes and motion status of cloud and smoke result. With a mipmapping technique, real time control and variety of the scenes are improved. Finally an example showing implementation of this method is presented.