仿射非线性控制系统基于精确线性化下的多重子空间迭代解法

研究仿射非线性控制系统的最优控制问题．基于微分几何理论,在反馈精确线性化后,利用计算结构力学与最优控制之间模拟关系,沿用多重子结构法来解决线性化后的最优控制问题,最终实现对原非线性系统的求解．相比于经典的Taylor展开线性化方法,减小了误差会随使用区域的扩大而扩大的弊端．     

微系统动力学中的若干非线性问题

微系统是近十多年迅速发展的新兴交叉学科领域.微系统动力学是微系统科学中的重要组成部分.微系统一般具有固有的非线性.本文从建模、分析、设计、控制、实验、测试、材料及制造等几方面归纳了微系统动力学中的若干非线性问题,并对今后的研究方向进行了展望.      

多段翼型粘性绕流多块网格数值模拟

采用多块结构网格和分区求解技术对多段翼型绕流进行雷诺平均NS方程数值模拟,并将计算的压力分布与实验进行了比较.     

Complete synchronization between two bi-directionally coupled chaotic systems via an adaptive feedback controller

In this paper, we apply a simple adaptive feedback control scheme to synchronize two bi-directionally coupled chaotic systems. Based on the invariance principle of differential equations, sufficient conditions for the global asymptotic synchronization between two bi-directionally coupled chaotic systems via an adaptive feedback controller are given. Unlike other control schemes for bi-directionally coupled systems, this scheme is very simple to implement in practice and need not consider coupling terms. As examples, the autonomous hyperchaotic Chen systems and the new non-autonomous 4D systems are illustrated. Numerical simulations show that the proposed method is effective and robust against the effect of weak noise.     

高气压预电离短脉冲XeCl准分子激光产生研究

研究了在高气压、大体积、泵浦功率1.395 9 MW·cm-3抽运下,产生的XeCl*准分子激光光谱,波段307.7～308.5 nm,结果显示有两个谱线峰值307.98和308.19 nm,谱线最强的跃迁是B—X跃迁,脉冲宽度11.13 ns。在气体配比HCl∶Xe∶He=0.1%∶1%∶98.9%下,采用预电离初始电子,产生稳定辉光放电过程,获得了0.5～5 Hz,单脉冲能量450 mJ,束散角3 mrad, 短脉冲的准分子激光。     

多台系统可靠性增长试验方法研究

提出了一种解决多台系统同步投试、同步停止试验和同步改进问题的新模型——指数模型．该模型充分考虑了增长过程中的各种可得信息,包括各改进阶段的失效数、未失效数和失效时间等数据．如果多台系统经过多次同步改进,并且单台系统的可靠性增长符合AMSAA模型,就可以合理地认为在每两个相邻的改进时刻之间,每台系统的失效时间服从指数分布．采用非参数方法得到多台系统在各同步停止试验时刻的可靠度,并利用最小二乘法拟合求得该模型中参数a和b的点估计值,以及参数b的置信限．通过在工程实例中对所提模型和几种已有模型计算结果的比较,说明了所提模型在解决多台系统同步可靠性增长问题中的合理性．     

On plastic anisotropy of constitutive model for rate-dependent single crystal

An algorithm for single crystals was developed and implemented to simulate plastic anisotropy using a rate-dependent slip model. The proposed procedure was a slightly modified form of single crystal constitutive model of Sarma and Zacharia. Modified Euler method, together with Newton-Raphson method was used to integrate this equation which was stable and efficient. The model together with the developed algorithm was used to study three problems. First, plastic anisotropy was examined by simulating the crystal deformation in tension and plane strain compression, respectively. Secondly, the orientation effect of some material parameters in the model and applied strain rate on plastic anisotropy for single crystal also is investigated. Thirdly, the influence of loading direction on the active slip system was discussed.     

Configuration controllability for non-zero potential mechanical control systems with dissipation

Introduction Mechanicalcontrolsystemspresentachallengingandpromisingresearchareabetweenthe studyofclassicalmechanicsandmodernnonlineargeometriccontroltheory.Forthestudyof mechanicalcontrolsystems,therichresultshavebeenproducedwithintheHamiltonian frameworkandLagrangianframework,respectively[1,2].FromtheLagrangianperspective,itis worthwhiletomentiontheconfigurationcontrollabilitynotions,recentlyintroducedbyLewisandMurray[3,4]forsimplemechanicalcontrolsystemswhoseLagrangianiskineticenergy minu…     

Error estimate for influence of model reduction of nonlinear dissipative autonomous dynamical system on long-term behaviours

Introduction Forsomenonlineardynamicalsystems,especiallyincomplexmechanicalvibrationand fluid structureinteractionsystems,thefiniteelementmethodisoftenusedtoapproachthe solutionofthegoverningequationduetothedifficultyofdescribingsysteminanalyticalform.Asa…     

率相关晶体塑性模型的塑性各向异性分析

在Sarma和Zacharia的工作基础上,改进了单晶晶体弹粘塑性本构模型的积分算法,并采用改进的欧拉法结合迭代方法求解,特点是稳定性好计算效率较高．然后用上述模型及算法研究了:1）在单向拉伸和平面应变压缩变形下单晶塑性各向异性的特点;2）晶体模型中的主要材料参数（应变率敏感指数m和潜硬化比率q）和加载应变率对单晶塑性各向异性的影响;3）沿不同的晶体方向加载对滑移系启动的影响．