一类时变动力系统的高余维分岔及其控制

研究了一类时变动力系统的高余维分岔及其控制问题,首先利用新方法对时变分岔方程的两个方向的分岔转迁和跃迁现象进行分析,分别通过慢变解的线性化近似和量级平衡估计分岔转迁值,然后研究这类时变分岔方程的线性反蚀控制问题,通过分析相应的二维高次自治系统的Hopf分岔,在适当的条件下得到了稳定的动态滞后环,研究揭示出脉冲振动产生的机理是分岔参数随时间周期变化经过定常分岔值时所发生的分岔转迁的滞后和跃迁现象。     

Monte carlo simulation of magnetization and coercivity of free magnetic clusters

Based on Monte Carlo method, the oscillatory behaviour of the average magnetic moment as a function of the cluster sizes and the temperature dependences of magnetic moment with different sizes have been studied. It is found that the oscillations superimposed on the decreasing moment are associated with not only the geometrical structure effects but also the thermal fluctuation. The hystereses and thermal coercivities for free clusters with zero and finite uniaxial anisotropies have been calculated. The simulated thermal dependence of the coercivity is consistent with the experimental result, but does not fit the T^α law in the whole temperature range. It is evident that an easy magnetization direction and an anisotropy resulting from the spin configurations exist in the free clusters with the pure exchange interaction, which is also proved by the natural angle and energy distribution of clusters. A systematic theoretical analysis is also made to establish the relationship between natural angle and coercivity.     

热弹性马氏体相变连续介质热力学研究

介绍形状记忆合金热弹性马氏体相变连续介质热力学研究方法和最新进展, 着重分析了在推广的非线性弹性力学的框架下, 应用变分方法研究热弹性马氏体相变的理论和方法、存在的问题及发展趋势. 首先介绍如何计算马氏体相变24种变体的变形梯度, 然后拓展非线性弹性力学, 引入描述相变的多阱非凸弹性势能, 进而讨论了界面能和非局部能对相变微结构和相变过程的影响的相关研究理论方法和进展.      

带式输送机弯曲变形阻力理论研究

为了减小带式输送机的弯曲阻力,基于黏弹性材料在动载荷下的能耗理 论,对输送带运行时的弯曲变形能耗机理进行了分析,推导出输送带弯曲变形阻力系数的近似理 论公式,并通过试验验证了公式的正确性. 利用公式对各因素对弯曲阻力系数 的影响规律进行了探讨,结果表明可以通过选配合适的输送带橡胶材料获得合适的 输送带黏弹性参数,并结合调整输送带、输送机的结构参数达到降低输送机弯曲阻力的目的.     

Lag synchronization for fuzzy chaotic system based on fuzzy observer

A new fuzzy observer for lag synchronization is given in this paper. By investi- gating synchronization of chaotic systems, the structure of drive-response lag synchronization for fuzzy chaos system based on fuzzy observer is proposed. A new lag synchronization criterion is derived using the Lyapunov stability theorem, in which control gains are obtained under the LMI condition. The proposed approach is applied to the well-known Chen＇s systems. A simulation example is presented to illustrate its effectiveness.     

孤立煤柱非线性蠕变失稳滞后时间的研究

为了明确描述煤矿冲击地压的发生具有时间滞后特性,基于冲击地压失稳理论,采用解析分析的方法研究孤立煤柱非线性蠕变失稳,得到了孤立煤柱冲击地压蠕变失稳条件;采用幂次关系、分数-线性关系两种非线性蠕变模型,推导出了孤立煤柱冲击地压非线性蠕变失稳滞后时间的理论公式;并结合工程实际,与两种蠕变模型条件下孤立煤柱冲击地压滞后时间理论值进行了对比。分析发现:3107工作面上顺槽保护煤柱处发生冲击地压的滞后时间实际为8.5d;采用分数-线性关系模型得到孤立煤柱冲击地压滞后时间为9.10d;采用幂次关系模型得到冲击地压滞后时间为10.45d。结果表明分数-线性关系模型与工程实际符合更好。     

Response analysis of randomly excited nonlinear systems with symmetric weighting Preisach hysteresis

An approximate method for analyzing the response of nonlinear systems with the Preisach hysteresis of the non-local memory under a stationary Gaussian excitation is presented based on the covariance and switching probability analysis. The covariance matrix equation of the Preisach hysteretic system response is derived. The cross correlation function of the Preisach hysteretic force and response in the covariance equation is evaluated by the switching probability analysis and the Gaussian approximation to the response process. Then an explicit expression of the correlation function is given for the case of symmetric Preisach weighting functions. The numerical result obtained is in good agreement with that from the digital simulation. The project supported by the National Natural Science Foundation of China (19972059) and Zhejiang Provincial Natural Science Foundation (101046)     

集中弯矩作用下箱梁剪力滞效应的解析解

以承受集中弯矩的简支梁结构为对象,基于能量变分法,获得了剪力滞效应计算的解析解通式.分别对仅跨内承受集中弯矩和单侧梁端承受集中弯矩简支梁,以及两侧梁端承受相反弯矩的纯弯梁,提出了剪力滞效应计算的理论公式,揭示了该类型结构的剪力滞规律.通过简支箱梁算例,研究了3种集中弯矩工况下的剪力滞效应,并和有限元板壳数值解进行对比分析.研究表明,该解析方法可以有效计算简支梁承受集中弯矩时的剪力滞效应.简支梁在集中弯矩作用部位存在较为突出的剪力滞效应.     

网络化非周期采样控制系统的主动时间滞后控制: 随机脉冲切换系统方法

研究了一类带有随机丢包的非周期采样网络化控制系统的镇定问题.不同于传统观点往往将时滞看作系统稳定性的消极因素,考虑时间滞后对系统稳定性的积极影响, 并提出一个新颖的主动时间滞后控制方法来镇定该系统.为了分析时间滞后控制的积极作用并获得较低保守性的结论,首先把带随机丢包的非周期采样系统建模为带固定切换率的随机脉冲切换系统, 并在均方意义下提出一个新的分离引理用于分析随机脉冲切换系统的稳定性.然后,基于环 泛函方法和所提的分离引理,以线性矩阵不等式形式给出随机脉冲切换系统的均方稳定性判据.进一步,利用区间分割技术得到改进的均方稳定性判据.最后,利用一个经典的数值例子来验证所得稳定判据的有效性和所提方法的优势.     

一种滞弹簧耗能的新型离散元滚动阻力模型研究

颗粒间滚动阻力对颗粒体系的稳定性起着重要作用. 在传统的离散元法中, 滚动阻力模型通常由转动弹簧、转动黏壶和摩擦元件表达, 颗粒滚动动能由黏滞力(矩)和摩擦力做功耗散. 由于黏滞力(矩)与滚动速度相关, 临近静止状态的颗粒滚动速度变小, 动能耗散减弱, 传统的离散元模拟得到颗粒由滚动到静止耗费的时间比试验观测的结果要长. 为解决这一问题, 基于摩擦学理论分析了滚动阻力产生的材料滞弹性机理, 将其引入离散元滚动阻力模型, 提出了一种速度无关型动能耗散的滞弹簧, 给出了滞弹簧的弹性恢复力计算公式, 建立了一种新型的离散元滞弹性滚动阻力模型(HDEM). 为验证新型滚动阻力模型的正确性, 通过一个光学物理试验对单个圆形颗粒试件的自由滚动过程进行了测量, 将测量数据与新型的滞弹型离散元模型和传统离散元模型计算结果进行了对比. 结果显示, 基于滞弹性滚动阻力模型HDEM计算结果与试验数据吻合程度更高, 而且模拟得到的颗粒摆动频率更符合试验现象.