丹东月亮岛大桥稳定性分析

丹东月亮岛大桥是宽跨比为1／22．44的下承式钢管混凝土系杆拱桥,采用单片桁架式X形拱肋,利用桥面板内张拉钢铰线作为拱的系杆,以实际工程为背景,通过空间有限元法对其稳定性进行了研究,结果表明：拱肋的最优内倾角度与横撑的刚度、型式和布置位置等因素有关,最终与拱的整体横向刚度有关;在满足行车净空的要求下K撑应该尽量靠近拱脚位置,其对拱桥的横向稳定性起到比较重要的作用。     

竖向地震加速度对堤坝抗震性能影响分析

将堤坝地震动力响应的有限元效值分析方法与坝坡地震滑移量的Newmark估算方法相结合,通过效值计算探讨了水平与竖向加速度组合作用下堤坝的抗震稳定性．首先以堤坝地震动力响应的二维平面应变有限元分析为基础,按照Makdisi与Seed所建议的计算方法估算堤坝安全系效的变化过程,依此对地震过程中堤坝的瞬态稳定性进行评价．对瞬时安全系效小于1的时段,采用Newmark方法估算滑坡体的可能滑移量,进而由此评判堤坝的抗震安全性．最后,针对一座高度为100m的堤坝,分别采用正弦波和实际El-Centro地震加速度记录作为激励,通过具体效值计算讨论了竖向地震加速度对堤坝抗震稳定性的影响．研究表明竖向加速度对堤坝瞬态稳定性及地震滑移量均具有显著影响,在堤坝抗震设计中应合理地予以考虑．     

变时滞Hopfield神经网络的全局吸引性和全局指数稳定性

对一类具时滞的Hopfeild型神经网络模型,在非线性神经元激励函数只要求满足Lipschitz连续的条件下,利用推广的Halanay时延微分析不等式、Dini导数以及泛函微分析技术,给出了这类模型的平衡点全局指数稳定性和全局吸引性的充分条件,这些条件易于检验,且改进和推广了前人的结论.此外,此文给出了研究神经网络模型的全局吸引性的微分不等式比较方法.     

具有饱和项的互惠系统的分歧与稳定性

运用谱分析和分歧理论的方法,在齐次Dirichlet边界条件下,对具有饱和项的互惠系统的非负定态解的分歧及其稳定性进行研究.一方面,分别以生长率作为分歧参数,讨论了发自半平凡解的分歧;另一方面,以两物种的生长率作为分歧参数,利用Liapunov-Schmidt过程,研究了在二重特征值处的分歧;同时判定了这些分歧解的稳定性.     

Beddington-DeAngelis型捕食-食饵动力系统的正平衡点及其稳定性

A class of Beddington-DeAngelis' type predator-prey dynamic system with prey and predator both having linear density restriction is considered. By using the qualitative methods of ODE, the existence and uniqueness of positive equilibrium and its global asymptotic stability are analyzed. The direct criterions for local stability of positive equilibrium and existence of limit cycle are also established when inference parameter of predator is small.     

具有反馈控制的非自治Logistic模型的正周期解

A nonautonomous delayed logistic model with linear feedback regulation is pro- posed in this paper.Sufficient conditions are derived for the existence,uniqueness and global asymptotic stability of positive periodic solution of the model.     

Alkaline Stable Anion Exchange Membranes Based on Cross-Linked Poly(arylene ether sulfone) Bearing Dual Quaternary Piperidines for Enhanced Anion Conductivity at Low Water Uptake

Alkaline stable anion exchange membranes based on the cross-linked poly(arylene ether sulfone) grafted with dual quaternary piperidine (XPAES-DP) units were synthesized. The chemical structure of the synthesized PAES-DP was validated using ¹H-NMR and FT-IR spectroscopy. The physicochemical, thermal, and mechanical properties of XPAES-DP membranes were compared with those of two linear PAES based membranes grafted with single piperidine (PAES-P) unit and conventional trimethyl amine (PAES-TM). XPAES-DP membrane showed the ionic conductivity of 0.021 S cm⁻¹ at 40 °C which was much higher than that of PAES-P and PAES-TM because of the possession of more quaternary ammonium groups in the cross-linked structure. This cross-linked structure of the XPAES-DP membrane resulted in a higher tensile strength of 18.11 MPa than that of PAES-P, 17.09 MPa. In addition, as the XPAES-DP membrane shows consistency in the ionic conductivity even after 96 h in 3 M KOH solution with a minor change, its chemical stability was assured for the application of anion exchange membrane fuel cell. The single-cell assembled with XPAES-DP membrane displayed a power density of 109 mWcm⁻² at 80 °C under 100% relative humidity.     

解四阶抛物型方程的若干新的差分格式

利用加耗散项的方法,提出解四阶抛物型方程的若干新的差分格式,研究它们的局部截断误差阶及稳定性.数值例子表明,格式是有效的.     

多面体不确定线性系统的鲁棒D-稳定研究

针对一类多面体不确定线性系统给出一种新的鲁棒D-稳定的充分条件,该条件可以由一族线性矩阵不等式(LM Is)的可行解得到,而这族LM Is可以由多面体的顶点描述。通过引入参数相关Lyapunov函数使得该条件的保守性降低,与其他条件相比这个条件具有更广泛的适用性,推广并改进了现有成果。     

一类时滞捕食系统的持续生存与全局稳定性

讨论了具有HollingⅡ型功能性反应的一捕食者有两食饵的时滞系统,得到了系统的一致持续生存与系统平衡点全局渐近稳定的充分条件.