裂纹转子分岔、混沌行为研究

分析非线性涡动中裂纹转子在裂纹存在和裂纹扩展两种情形下的典型非线性动力学行为－－混沌和分岔现象。在2／3倍临界转速区，裂纹深度浅于R／2的裂纹转子有分岔和拟周期响应出现；深度超过R／2的裂纹转子会出现分岔及混沌现象。裂纹角β对这些非线性动力学行为有很大影响。     

纳米-Al2O3陶瓷粉末的预热爆炸压实实验研究

对纳米-Al2O3陶瓷粉末在预热温度为0.5Tm的条件下,以不同的爆炸压实压力实施了烧结实验。通过X射线衍射分析了烧结体的晶型,并用高分辨率扫描电子显微镜进行了微观组织观察。实验结果表明,纳米-Al2O3陶瓷粉末在爆炸压力为13.1 GPa时可得到晶粒间结合致密且晶粒度在100 nm左右的-Al2O3烧结体;而在爆炸冲击压力为9.35 GPa以下时,烧结体的晶型没有发生转变,仍然是-Al2O3晶型。     

聚氨酯在磨粒侵蚀条件下的表面化学效应

在工程实际中，由于高分材料的抗磨粒侵蚀性能都比较而得到了广泛的应用，然而载至目前，所见这类材料在磨粒侵蚀磨损机理方面的研究报道相当之少，而且仅局限于物理过程的考察。因此，对聚氨酯在磨粒侵蚀条件下的表面化学效应进行了试验研究。利用扫描电子显微镜、Ｘ射线光电子能谱仪和傅立叶表面红外分析仪，对这种高分子材料在磨粒侵蚀磨损前后表面的微观形貌、元素组成、结合能和官能闭进行了分析。     

On averaged and normal form equations

The method of ayeraging has long been an important method for the analysis of nonlinear systems. One method using normal forms has more recently become a tool in applied mathematics. Both methods convert systems of ordinary differential equations to simpler equations by using a sequence of change of variables. This study can be interpreted as a local analysis in that it treats equations that are nonlinear perturbations of linear equations. We show that the two methods are essentially equivalent.This work has been supported by the National Science Foundation, Grant No. NSF/MEA 8310966. Deceased.     

一类多自由度强非线性振动系统主共振的渐近解法

提出一种渐近方法用来处理一类多自由度强非线性自治振动系统，它是新渐近方法￣［１］的推广。本方法适用于主共振情形，我们建立了振幅和相位所满足的方程。文末用两个例子说明本方法的有效性。     

梁的动力稳定性分析的有限元方法

提出了对梁进行动力学稳定性分析的有限元方法──给出了单元质量矩阵，抗弯刚度矩阵，几何刚度矩阵及相应的Ｍａｔｈｉｅｕ方程，通过坐标变换消除了方程的动力与静力耦合，然后说明了由这种具有参数激励耦合的多自由度系统的Ｍａｔｈｉｅｕ方程求得系统一般参数共振及组合参数共振的过渡曲线的约束参数方法与多尺度方法。最后作为算例求出了均匀简支梁受简谐轴向力作用时的过渡曲线。     

Chaotic Oscillation of Saddle Form Cable-Suspended Roofs under Vertical Excitation Action

The purpose of this paper is to investigate the dynamic behaviour of saddle form cable-suspended roofs under vertical excitation action. The governing equations of this problem are system of nonlinear partial differential and integral equations. We first establish a spectral equation, and then consider a model with one coefficient, i.e., a perturbed Duffing equation. The analytical solution is derived for the Duffing equation. Successive approximation solutions can be obtained in likely way for each time to only one new unknown function of time. Numerical results are given for our analytical solution. By using the Melnikov method, it is shown that the spectral system has chaotic solutions and subharmonic solutions under determined parametric conditions.     

侧柱对串列双柱脉动压力的干扰

研究了串列双圆柱旁加上一个等直径的圆柱，组成一个等边三角形排列的三圆柱的脉动压力分布．着重研究侧柱对串列双圆柱脉动压力分布的影响．研究的结果表明，绕流等边三角形排列的三圆柱，受影响最严重的是后柱．脉动压力分布出现了严重的不对称，外侧的压力脉动极其强烈，内侧的压力脉动较弱，与时均压力分布，很好的对应关系．另外，侧柱对于串列双圆柱是否达到超过临界间距的绕流流态，有很大的影响     

多孔饱和半空间上刚体垂直振动的轴对称混合边值问题

研究圆柱形刚体在多孔饱和半空间上的垂直振动．首先应用Ｈａｎｋｅｌ变换求解多孔饱和固体的动力基本方程———Ｂｉｏｔ波动方程．然后按混合边值条件建立多孔饱和半空间上刚体垂直振动的对偶积分方程，用Ａｂｅｌ变换化对偶积分方程为第二类Ｆｒｅｄｈｏｌｍ积分方程．文末给出了多孔饱和半空间表面动力柔度系数的计算曲线．     

Shock waves from an open-ended shock tube with different shapes

A new method for decreasing the attenuation of a shock wave emerging from an open-ended shock tube exit into a large free space has been developed to improve the shock wave technique for cleaning deposits on the surfaces in industrial equipments by changing the tube exit geometry. Three tube exits (the simple tube exit, a tube exit with ring and a coaxial tube exit) were used to study the propagation processes of the shock waves. The detailed flow features were experimentally investigated by use of a two-dimensional color schlieren method and by pressure measurements. By comparing the results for different tube exits, it is shown that the expansion of the shock waves near the mouth can be restricted by using the tube exit with ring or the coaxial tube exit. Thus, the attenuation of the shock waves is reduced. The time histories of overpressure have illustrated that the best results are obtained for the coaxial tube exit. But the pressure signals for the tube exit with ring showed comparable results with the advantage of a relatively simple geometry. The flow structures of diffracting shock waves have also been simulated by using an upwind finite volume scheme based on a high order extension of Godunov's method as well as an adaptive unstructured triangular mesh refinement/unrefinement algorithm. The numberical results agree remarkably with the experimental ones.