破片撞击起爆柱面带壳装药的临界速度修正判据

为获得适用于柱面带壳装药的冲击起爆修正判据,以Picatinny工程判据为基础加入修正项进行修正。采用AUTODYN-3D软件对破片撞击柱面带钢壳的B炸药进行数值计算,获得了破片入射角、装药曲率半径对炸药临界起爆速度的影响规律;通过拟合得到修正项表达式,建立了考虑破片入射角、柱壳装药形状函数的炸药起爆临界速度修正判据。判据计算值与实验数据和数值计算值吻合较好,该判据能较好的预测柱形带壳装药的冲击起爆条件。     

热力学变化过程方向的完整判据

目前物理化学教科书中的自发过程方向与限度判据,只能对常见自发过程作判断,不能对含有非体积功的各类过程做出判断。笔者从热力学第二定律的理论基础克劳修斯不等式入手,通过自发变化熵判据的演绎过程,找到了3个判据不完整性的原因所在,给出了完整方向性判据的解决方案。应用表明,完整的方向与限度判据可适用于各类热力学变化过程。     

关于活性聚合判据的讨论

活性聚合尤其是活性聚合的判据是高分子化学课程中重要的教学内容。本文对活性聚合的判据进行了全面的总结,并深入分析了每种判据的来源,这些教学内容可作为现有教材的补充,有助于学生深刻理解活性聚合的内涵和外延。     

LPS＇S CRITERION FOR INCOMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS

In this paper we derive LPS's criterion for the breakdown of classical solutions to the incompressible nematic liquid crystal flow, a simplified version of Ericksen-Leslie system modeling the hydrodynamic evolution of nematic liquid crystals in R3. We show that if0 T +∞ is the maximal time interval for the unique smooth solution u ∈ C∞([0, T), R3),then |u| + |▽d| /∈ Lq([0, T ], Lp(R3)), where p and q safisfy the Ladyzhenskaya-Prodi-Serrin's condition:3p+2q= 1 and p ∈(3, +∞].     

夏季东亚副热带反气旋进退活动的非线性机理讨论

采用三维强迫耗散非线性动力学模式,结合夏季东亚副热带地区实际的环流结构和天气特征,对东亚上空副热带反气旋的活动进行了研究和探讨,导出了系统稳定性的位涡拟能判据并据此进行了分析和讨论·所得判据可为分析和预报夏季东亚上空副热带高压的进退变化及相应的东亚天气提供参考依据·     

Generalized reduced-order synchronization of chaotic system based on fast slide mode

A new kind of generalized reduced-order synchronization of different chaotic systems is proposed in this paper. It is shown that dynamical evolution of third-order oscillator can be synchronized with the canonical projection of a fourth-order chaotic system generated through nonsingular states transformation from a cell neural net chaotic system. In this sense, it is said that generalized synchronization is achieved in reduced-order. The synchronization discussed here expands the scope of reduced-order synchronization studied in relevant literatures. In this way, we can achieve generalized reduced-order synchronization between many famous chaotic systems such as the second-order D\"{u}ffing system and the third-order Lorenz system by designing a fast slide mode controller. Simulation results are provided to verify the operation of the designed synchronization.     

线性中立型单延迟系统李代数稳定性判据

研究了线性中立型单延迟微分系统的稳定性.从矩阵李代数可解性角度,推导出新的简单的延迟独立稳定性判据.该新判据的重要意义和优越性在于首次突破了以往大多数相关文献的稳定性判据在应用上受条件‖C‖<1,ρ(|C|)<1或ρ(|N|)<1的限制,从而首次成功确定了在‖C‖≥,ρ(|C|)≥1和ρ(|N|)≥1的情形下中立型延迟微分系统渐近稳定性.最后,通过两个例子显示了新判据的优越性.