Piecewise analysis of oblique vibro-impacting systems

A great number of studies have shown the complex nonlinear dynamics of mechanical systems with repeated normal impacts. An oblique frictional impact introduces even more complicated dynamics such as stick-slip motions to those systems. Hence, the dynamics of oblique vibro-impacting systems with possible sliding motion is an open problem. Based on a hybrid analysis of vibro-impact dynamics, kinematics and complementary conditions, a piecewise analysis method is developed in the paper to describe the sliding motion during an oblique impact. Thereby, a parametrically excited planar pendulum between two parallel rigid walls is studied as an illustrative example. The example, together with the corresponding numerical results, shows that the sliding impacts occur in such a system with a set of properly selected parameters. The project supported by the National Natural Science Foundation of China (59905010) and by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, Ministry of Education, China     

有限长Timoshenko梁弹性碰撞接触瞬间的动态特性

给出了质点与有限长Timoshenko梁横向弹性碰撞接触问题的半解析解,分析了该碰撞问题在碰撞接触瞬间的动态响应特性：揭示了其中的波传播现象．     

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简述了多刚体系统接触及碰撞动力学的研究方法，详细回顾了考虑库仑摩擦的多刚 体系统的能量不协调、Painlev\'{e}疑难及碰撞恢复系数等该领域中难点问题的研 究进展，探讨了解决该难点问题的研究思路，指出了未来该领域的研究方向.     

陈宗基先生简介

<正> 陈宗基先生1922年9月15日出生于印尼,祖籍福建安溪.1941年至1942年在印尼万隆工学院就学,1946年留学荷兰德尔夫特科技大学,1949年毕业并获工学士学位,1954年获优秀技术科学博士学位.陈先生1955年响应周总理号召回国参加祖国社     

三维动力学分析软件MSC／DYTRAN功能及其应用

简要介绍了三维动力学分析软件ＭＳＣ／ＤＹＴＲＡＮ的功能，基本特征，以及在数值计算领域如：浅滩水下爆破，弹丸高速碰撞，成型装药等问题中的应用，并给出了部分算例。     

高速液—固碰撞时固体弹性和液体可压缩性对撞击压力的影响

本文联立求解可压缩平面液体撞击弹性固体表面时液体激波面及液固相界面上的物理过程控制方程组,导出了激波速度、撞击压力和固体表面变形速度的计算公式.导出的公式中包括了表征液体可压缩性的撞击马赫数M_0和表征固体弹性的液固声阻抗比Γ.通过计算液体撞击PMMA,钙钠玻璃、ZnSe和1Cr13时的撞击压力,本文具体分析了M_0和Γ对撞击压力产生的综合影响。     

含纳米粒子溶液对单晶硅表面的冲蚀磨损损伤实验研究

利用高分辨透射电子显微镜和原子力显微镜观察了含纳米颗粒溶液冲蚀硅片表面损伤行为,考察了纳米颗粒碰撞单晶硅片所导致的微观物理损伤.结果表明:冲蚀30 s后,在高分辨透射电子显微镜下可见硅片表面呈现方向性损伤,并可观察到大量非均匀的晶格缺陷;当冲蚀10 min时,硅片表面出现微观划痕和凹坑,在划痕一端可见原子堆积,亚表面可观察到镶嵌晶粒的非晶损伤层;继续延长冲蚀时间将加剧其表面损伤.     

轴对称高速碰撞问题的拉格朗日无结构网格有限体积法的并行计算

给出计算轴对称高速碰撞问题的拉格朗日无结构三角形网格有限体积法的并行格式，并给出以小巨型机ＡｌｉａｎｔＦＸ／４０为目标计算机的算例数值模拟结果和效率分析     

汽车碰撞砼护拦过程的数值模拟

将汽车与砼护拦简化为刚体，给出了描述碰撞过程中车辆三维空间运动的Ｅｕｌｅｒ－Ｌａｇｒａｎｇｅ方程－微分代数方程组，采用半显式外插方法求解上述方程组。数值计算得出的车辆各方向上的最大平均加速度、最大侧倾角、最大俯仰角、车轮沿护拦面的最大爬升值及车辆脱离护拦时的弹出角等结果是从乘员风险和车辆轨迹等多角全面评估砼护拦的安全性能的重要依据。针对美国ＮｅｗＪｅｒｃｙ型砼护拦的实际算例与文献结果吻合较好。     

Hopf-flip bifurcation of high dimensional maps and application to vibro-impact systems

This paper addresses the problem of Hopf-flip bifurcation of high dimensional maps. Using the center manifold theorem, we obtain a three dimensional reduced map through the projection technique. The reduced map is further transformed into its normal form whose coefficients are determined by that of the original system. The dynamics of the map near the Hopf-flip bifurcation point is approximated by a so called ‘‘time-2τ² map’’ of a planar autonomous differential equation. It is shown that high dimensional maps may result in cycles of period two, tori T¹ (Hopf invariant circles), tori 2T¹ and tori 2T² depending both on how the critical eigenvalues pass the unit circle and on the signs of resonant terms’ coefficients. A two-degree-of-freedom vibro-impact system is given as an example to show how the procedure of this paper works. It reveals that through Hopf-flip bifurcations, periodic motions may lead directly to different types of motion, such as subharmonic motions, quasi-periodic motions, motions on high dimensional tori and even to chaotic motions depending both on change in direction of the parameter vector and on the nonlinear terms of the first three orders.The project supported by the National Natural Science Foundation of China (10472096)The English text was polished by Ron Marshall.