水电站混凝土蜗壳三维有限元分析

结合某河床式水电站,建立了混凝土蜗壳三维有限元整体模型,用ANSYS有限元软件的钢筋混凝土非线性分析模块对混凝土蜗壳进行了三维线弹性和钢筋混凝土非线性计算.根据线弹性计算结果并结合工程实际,对混凝土蜗壳进行了配筋,并对该配筋方案进行了裂缝开展区、钢筋应力、最大裂缝宽度的验算和蜗壳位移分析.     

旋转薄壁圆柱壳非线性波动振动分析

基于Donnell’s简化壳理论,考虑阻尼和几何非线性,建立旋转薄壁圆柱壳在法向激振力作用下的波动振动方程,并利用Galerkin方法将波动振动方程转换到模态坐标上,其中考虑到一端自由一端固支的边界条件,节径数和轴向半波数分别取为6和1,得到2个相互耦合的非线性微分方程,用数值方法研究了各模态变量的时间响应和非线性幅频特性,并讨论了振动响应的稳定性和激振力对系统非线性的影响.     

Analysis and design of discrete-time linear systems with nested actuator saturations

This paper is concerned with the analysis and design of discrete-time linear systems subject to nested saturation functions. By utilizing a new compact convex hull representation of the saturation nonlinearity, a linear matrix inequalities (LMIs) based condition is obtained for testing the local and global stability of the considered nonlinear system. The estimation of the domain of attraction and the design of feedback gains such that the estimation of the domain of attraction for the resulting closed-loop system is maximized are then converted into some LMIs based optimization problems. Compared with the existing results on the same problems, the proposed solutions are less conservative as more slack variables are introduced into the conditions. A couple of numerical examples are worked out to validate the effectiveness of the proposed approach.     

基于代数正规型构造的代数免疫最优布尔函数

现有代数免疫最优布尔函数的构造方法大多基于支撑集,通过代数正规型直接构造的方法研究较少.为此,利用代数正规型的多项式表示构造一类代数免疫性质优的布尔函数,研究其代数次数、代数免疫阶、函数重量、非线性度等性质,分析采用这种方法构造的代数免疫最优布尔函数的性质及计数等结果.由构造方法可以得到代数免疫最优的布尔函数,其中包含一些已有的特殊构造结果,表明该方法更具有一般性,包含更多具有最优代数免疫阶的函数.     

All-pole phase-locked loops: calculating lock-in range by using Evan's root-locus

The dynamics of a phase-locked loop (PLL), an essential component for the electronic synchronization processes, is described by an ordinary nonlinear differential equation with an order equal to 1 plus the order of its internal linear low-pass filter. Literature contains several results mainly concerned to the second-order loops giving expressions for lock-in range and transient response specifying a linear equivalent second-order system. However, in some applications, more accurate transient responses are necessary and the PLL performance can be improved by considering the higher-order filters resulting in the nonlinear loops with order greater than 2. Such systems, due to high order and nonlinear terms, depending on the parameters combination can present some undesirable behaviors, resulting from bifurcations, as error oscillation and chaos, decreasing the synchronization ranges. Implication to engineering design is that some regions of the parameter space become forbidden limiting the circuit options. This work is a contribution on establishing the lock-in range for a PLL of generic order n?+?1, considering that the filter is all-pole linear stable low-pass of order n. Analysis is performed by detecting a Hopf bifurcation on the synchronous state by using the root-locus method combined with the dynamical system theory. The lock-in range is calculated by applying the classical control tools defining an equivalent feedback control system.     

无侧向支撑钢结构变电构架的二阶效应分析

针对无侧向支撑的两跨人字形钢结构变电构架,进行了考虑结构二阶效应的受力性能分析。分析中考虑了构架柱的初始几何缺陷,加载过程分别考虑了几何非线性、材料非线性以及两种非线性因素共同存在对变电构架受力性能的影响。通过分析对比斜向、水平及竖向荷载作用下的二阶弹性、一阶弹塑性和二阶弹塑性3条荷载—位移曲线,得到了这种变电构架的二阶效应特点及影响因素:在斜向和水平荷载作用下,虽然受材料非线性的影响更大,但受到二阶效应的影响较早;在竖向荷载作用下,则受二阶效应的影响更大,而塑性效应的影响不很明显。     

用胞映射法计算摩擦对齿轮吸引域的影响

针对计及摩擦的单对齿轮传动系统的时变非线性模型,应用胞映射方法对系统进行了吸引域计算,得到了在不同的摩擦系数、时变刚度和激励频率参数下系统的吸引域和全局特性,分析了这些参数变化时系统吸引子吸引域的演变规律.研究表明,系统的竞争吸引子是互相缠绕的,摩擦能改变周期运动吸引子的性态,也能降低混沌时的Lypunov指数,有利于提高系统的全局稳定性.