一类具有食物偏好的三种群生物模型的动力学分析

利用Kolmogorov定理和Lyapunov稳定性定理对一种带有食物偏好的生物种群模型的稳定性进行了分析,得到了平衡点和极限环稳定的充分条件.而后利用分岔图、Poincaré映射图及相图等数值方法研究了系统复杂的动力学行为,发现了系统经由两种非常规周期倍化分岔——"混沌泡"和"周期泡",进入混沌的道路.最后,利用Floquet理论数值验证了系统的倍周期分岔行为.     

基于源数估计的船舶振源盲识别研究

针对船舶等复杂设备的多传感器监测与诊断过程中振动源识别,提出一种基于源数估计的船舶振源盲识别方法。该方法首先采用盖尔圆理论确定系统振动源数目,运用信号盲源分离算法提取相对独立的主要源信号,进而运用所提出的谱相关系数分析方法确定所提取信号来自哪个设备。仿真分析与实际的某船舶的模型振动实验均证实该方法的有效性。     

基于学习的统计推理方法

介绍了一种新的关于统计推理的理论即学习理论。阐述了学习问题的研究背景、数学模型、研究的基本问题以及国内外的研究现状。     

考虑流体静压时充液圆柱壳的输入能量流特性

研究了内部流体静压力对充液圆柱壳的受迫振动能量流的影响。静压力作为预应力计入壳体振动方程当中,壳体和流体分别采用Fliigge方程和Helmholtz波动方程。分析了耦合系统在周向线分布余弦载荷下的动态响应．用傅立叶变换和反变换实现空间域与波数域之间的相互转换,采用留数定理求取系统的响应并得到耦合系统的输入能量流。结果表明,周向模态数n=0时,静压力对耦合系统的输入能量流影响很小;n较大时,在中低频下静压力使输入能量流曲线沿频率轴右移,由于输入能量流的峰值点处的频率对应于频散曲线中各支传播波的截止频率,对应传播波的截止频率升高,高频时则基本无影响。随着静压力以及周向模态数的增大,输入能量流受到的影响程度也增大。     

基于接触理论与数值分析下复合墙体抵抗冲击力研究

在建筑复合隔墙墙体正常使用的过程中通常会受到外界物体的偶然碰撞,相互碰撞后所产生的冲击力会使墙体发生局部变形或产生应力集中现象从而影响墙体的整体稳定性、耐久性和使用性能.由于目前建筑复合隔墙墙体在抗冲击方面缺乏结构层面的计算方法,因此,为研究复合墙体在低速碰撞下抗冲击问题并分析该类型墙体在受到碰撞所产生的冲击力对其性能...     

贝叶斯网络对隧道施工风险评价研究

为提高地铁隧道施工中风险评价的准确性,完善现有风险评估方法在处理不确定性分析方面的不足,运用贝叶斯定理对深圳市某地铁项目进行风险评价。首先通过构建风险拓扑结构模型,预测各种情况下地铁施工风险的发生概率,然后利用反推法分析事故风险的机理,最后采用互信息理论完成风险评价,找出致险因子。结果表明,该隧道工程施工风险概率为3.24%,地铁施工安全隐患是该工程最大的致险因子。     

Formulating the within-day dynamic stochastic traffic assignment problem from a Bayesian perspective

This study proposes a formulation of the within-day dynamic stochastic traffic assignment problem. Considering the stochastic nature of route choice behavior, we treat the solution to the assignment problem as the conditional joint distribution of route traffic, given that the network is in dynamic stochastic user equilibrium. We acquire the conditional joint probability distribution using Bayes’ theorem. A Metropolis–Hastings sampling scheme is developed to estimate the characteristics (e.g., mean and variance) of the route traffic. The proposed formulation has no special requirements for the traffic flow models and user behavior models, and so is easily implemented.     

Numerical weight function method for the structural analysis of ships: a speedy direct calculation with condensed structural information

The weight function method was originally derived for crack problems to calculate stress intensity factors for arbitrary loading conditions. In this article, a numerical weight function method has been extended to formulate the structural response analyses of two-dimensional elasticity, plate-bending, and three-dimensional plate-structures by using the finite-element method. The solution procedure is based on the well-known Maxwell–Betti reciprocal theorem, which is applied to the original and properly defined auxiliary problems. The present numerical weight function may be considered as a finite-element version of a Green’s function in an integral equation solution scheme. Although ship structures are certainly analysed by the finite-element method in a practical design procedure, the weight function approach has not yet been realized. The method is very useful for the analysis of structures subjected to a vast range of loading conditions, because structural responses can simply be calculated by the inner product of the universal weight function and load vectors. The validity and convergence characteristics of the present method are investigated by two-dimensional elastic and plate-bending problems, respectively. Finally, the method is applied to the calculation of the response amplitude operator of a stress component at a critical structural detail of a double-hull tanker, and the speed and efficiency of the method are quantitatively discussed based on the practical results.     

二阶泛函微分方程无界非振动解的存在性

获得了一类非线性二阶泛函微分方程无界非振动解存在的充分条件.作为特例,包含了文[5]中结论.     

曲柄滑块机构中连杆加速度瞬心位置的确定

提出了确定曲柄滑块机构中连杆加速度瞬心位置的方法,从而可直接求解连杆上任意点的加速度问题。