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动力学条件

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The loca l bifurcation characteristic near by codimension two bifurcation point is discus sed,which testifies that the local dynamical behavior of map fmay be known under the condition of cod.

通过分析范式在余维二分岔点附近的局部分岔行为,可以了解映射f在余维二分岔条件下的局部动力学行

In chapter 4, employing the molecular dynamics simulations, we study the melt-ing transitions in driven vortex lattices with commensurability between arrays ofvortices and defects.

在第四章中,采用分子动力学模拟,研究了在涡旋与钉扎缺陷之间匹配条件下的驱动涡旋晶格的融熔转变。

They include the fundamental concepts of jet bundle geometry needed in describing time-dependent mechanical systems, decomposition of jet bundles into a direct sum according to the constraints, horizontal distributions on constraint mainifolds, the global formulation of D'Alembert-Lagrange's equations and Chaplygin's equations, and nonholonomic mechanics on a Riemann-Cartan manifold. Meanwhile, the geometric significance of Chetaev's conditions and $\rd$-$\delta$ commutation relation are discussed in depth.

本文主要综述非完整约束系统几何动力学的外附型和内禀型Lagrange理论,包括非定常力学系统所需要的射丛几何学的基本概念、射丛按约束的直和分解、约束流形上的水平分布、 D'Alembert-Lagrange方程与Chaplygin方程的整体描述、以及Riemann-Cartan流形上的非完整力学,文中对Chetaev条件和d-δ交换关系的几何意义作了深入讨论。

As compared with the existing work in this field, the results given in this paper is simple, and suitable for any robotic manipulators with unknown dynamics nonlinearities.(3) The proposed control scheme excludes the assumption that is often used in the existing literature, i.e., the robot states are assumed to be within a compact set.

与现有方法比较,本文给出的结果比较简单,适合于任何动力学非线性未知机械手的控制;提出的设计方法,克服了现有机械手神经网络控制应用中所需要的假设条件,即假设机械手的状态量严格位于某一紧集中。

It"s considered that the algae blooms control function in the algae"s growth dynamics model is influenced mostly by the water temperature, sun illumination, water flow speed and the concentration of the nutriment in water. A function including the four elements was built. By using cell mapping algorithm and contacting with the practical water condition of the Wujiang river and the Hanjiang river we analyzed and computed the algae blooms in the two areas and found the result was very near to the practical result. And we found that the ascend of water temperature and the descend of the water flow speed will contribute to the growth of algae and the nutriment is the substance basis of the algae blooms but not the only element. It must be under the condition of condign water temperature, enough sun illumination, slow water flow and abundant nutriment that algae blooms may break out unexpectedly.

本文认为藻类生长营养动力学模型中的水华爆发控制函数主要受水温、光照强度、水流速和营养盐浓度的影响,构建了包含水温、光照强度、水流速和营养盐浓度的水华爆发控制函数,通过对乌江、汉江的水华爆发进行胞映射分析,得到的计算结果与实际监测非常吻合,并认为水温升高和水流速下降将有利于藻类生长,营养盐是水华爆发的物质基础,但不是唯一因素,必须在适宜的水温、光照、缓慢的水流和充足的营养盐条件下,藻类才可能出现突发式的"疯长",即水华爆发。

By analyzing the characteristics of seismic rupture process and considering the three hypothetical conditions of similarity satisfied by earthquake,i e geometrical, stress environment and dynamic similarities of fault planes, the authous have studied the scaling analysis of similarity between earthquakes with various magnitudes and set up the scaling relation between sou.

本文根据Heaskel二维矩形地震破裂模式,导出了以ω立方的波谱衰减,在分析地震破裂过程特征、考虑三个主要的相似性假定基础上,即假定地震满足断层面几何相似、应力环境相似和动力学相似条件,研究了大小地震相似性问题的标度分析,建立了地震破裂和源参数之间的标定律关系。

Considering enough first integrals,such as conservation of energy and angular momentum,the system is integrable by Liouville's theorem.

利用能量积分,根据惠特克定理对系统的动力学方程进行降阶,并根据旋转数给出系统作周期或准周期运动的判别条件。

According to the principle of mass conservation, the dynamic model of SCF-CO_2 is set up on differential extraction base on determining the extracted conditions.

在确定了最佳工艺条件的基础上,根据质量守恒原理,建立了基于微分床萃取的超临界流体萃取动力学模型,从理论上分析了超临界流体萃取过程中各因素对提取率的影响情况,并对模型中的主要参数进行了讨论。

The structure feature of the sensor was described in comparison with the classical Stewart platform-based six-component force sensor.By using the finite element method,the elastic dynamics theoretical model of the sensor was established based on the conditions of displacement consistency and force balance.According to this model,the numerical analysis was carried out,and the variety relationship curves between the natural frequencies and the structural parameters are plotted.

描述了该传感器相对于经典Stewart平台六维力传感器所具有的结构特点;利用有限元法,采用位移协调和力平衡条件建立了传感器弹性动力学理论模型,依此模型进行数值分析,绘制了固有频率与各结构参数间变化关系曲线;并利用ANSYS软件建立了传感器有限元模型,进行了振动模态分析,得到其固有频率和振型。

Based on the equilibrium equation of an arch element the cubic nonlinear dynamic model with second order is established and the nonlinear differential dynamic system without constant term is obtained through a transfer process of T=U+b. Hence three fixed points and the homoclinic orbits are found. The critical condition of the chaotic vibration of the elastic arch is given by using the method of Melnikov function. The numerical results of the stationary and chaotic motion are given and discussed.

首先利用拱的单元平衡方程建立了拱的二阶三次非线性动力学模型;然后通过变换使方程转化为不含常数项的非线性微分动力系统,并由此得到无扰动系统的3个不动点与同宿轨道;再用Melnikov函数法给出了发生混沌的临界条件;最后给出了该系统出现定常运动和混沌运动的数值结果。

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