Protostellar Disk Formation and Early Evolution

This contribution describes the formation of circumstellar disks and their earliest evolutionary phases when self-gravity in the disk plays a crucial role in eliciting the transport of mass and angular momentum. We first discuss the formation of protostellar disks within the context of analytic infall-collapse solutions. We then discuss our efforts to understand the behavior of the newly formed disks. Our specific approach consists of performing a detailed analysis of a simplified model disk which is susceptible to the growth of a spiral instability. Using a combination of numerical simulation and semi-analytic analysis, we show how the dramatic early phase of mass and angular momentum transport in the disk can be explained by a second-order nonlinear process involving self-interaction of a dominant two-armed spiral mode. This revised version was published online in June 2006 with corrections to the Cover Date.     

套齿连接转子简化建模及动力特性分析

在进行转子和整机计算时建立套齿结构接触模型会增加计算量，降低计算效率，直接将套齿结构省略又无法体现其刚 度特性变化对转子动力特性的影响。针对该问题，基于航空发动机单圆柱面套齿连接的结构和力学特征，建立了考虑构件间界面 接触状态的力学特征分析模型，提出了考虑套齿结构刚度随参数变化的简化建模方法，并与套齿接触模型进行了对比分析。建立 了单圆柱面套齿连接结构转子简化模型，开展了相应的转子动力特性试验，对比分析了拧紧力矩对转子模态频率的影响。结果表 明：转子简化模型与试验模型最大计算误差小于5%，证明套齿结构简化建模方法具有较高的可靠性和准确性，可为工程实践中高 效开展含套齿结构转子及整机动力学准确计算分析提供方法与参考。     

驾驶员诱发振荡的抑制方法

对电传操纵系统驾驶员诱发振荡（ＰＩＯ）的现象进行了分析，指出了舵回路速率饱和是造成ＰＩＯ的主要原因，并有针对对给出了一种非常规的用于解决饱和非线性问题的程序控制方法。这种方法主要是通过舵回路反馈的状态信息来改变驾驶杆输入信号的放大系数，从而达到有效抑制ＰＩＯ的目的，同时用Ｈｕｒｗｉｔｚ稳定判据进行了机理分析，最后给出了仿真验证结果，证明该方法是简单而有效的。     

高速加工HSK工具系统的力学模型

根据HSK工具系统的结构和工作机理建立了HSK工具系统的力学模型,分析了影响工具系统刚度的主要因素和载荷与加工质量之间的关系,揭示出HSK工具系统刚度变化的基本规律,理论分析结果与实验结果吻合.在此基础上,提出评估工具系统的性能不仅要考虑工具系统的静刚度,而且要进一步考虑工具系统的动刚度.最后,给出了HSK工具系统型号的选择原则,并建立了相应的优化操作条件.     

射流伺服阀用放大型超磁致伸缩执行器建模及分析

为提高射流伺服阀的动态性能,设计了采用桥式微位移放大机构的射流伺服阀用放大型超磁致伸缩执行器(AGMA)。建立了计输入位移损失的放大机构模型以及非线性位移输出理论模型,并采用有限元法对所建放大机构模型进行了对比验证,结果表明:放大机构的输入刚度模型最大误差0.78N/μm,放大倍数模型最大误差0.22,放大倍数受输入位移影响较小。最后,试验研究了AGMA的静动态特性,结果显示:控制电流在-0.5A到0.5A缓慢变化时,AGMA输出位移约为78μm;当控制电流从-0.5A跃变到0.5A时,其峰值位移约为71μm,峰值时间约为0.014s,调节时间小于0.1s;当控制电流幅值为0.5A时,其输出位移幅频宽40Hz,谐振频率约为30Hz。     

Adaptive Gaussian sum squared-root cubature Kalman filter with split-merge scheme for state estimation

The paper deals with state estimation problem of nonlinear non-Gaussian discrete dynamic systems for improvement of accuracy and consistency. An efficient new algorithm called the adaptive Gaussian-sum square-root cubature Kalman filter（AGSSCKF） with a split-merge scheme is proposed. It is developed based on the squared-root extension of newly introduced cubature Kalman filter（SCKF） and is built within a Gaussian-sum framework. Based on the condition that the probability density functions of process noises and initial state are denoted by a Gaussian sum using optimization method, a bank of SCKF are used as the sub-filters to estimate state of system with the corresponding weights respectively, which is adaptively updated. The new algorithm consists of an adaptive splitting and merging procedure according to a proposed split-decision model based on the nonlinearity degree of measurement. The results of two simulation scenarios（one-dimensional state estimation and bearings-only tracking） show that the proposed filter demonstrates comparable performance to the particle filter with significantly reduced computational cost.     

A practical nonlinear robust control approach of electro-hydraulic load simulator

This paper studies a nonlinear robust control algorithm of the electro-hydraulic load simulator （EHLS）. The tracking performance of the EHLS is mainly limited by the actuator＇s motion disturbance, flow nonlinearity, and friction, etc. The developed controller is developed based on the nonlinear motion loading model. The problems of the actuator＇s disturbance and flow nonlinearity are considered. To address the friction problem, the friction model of the loading motor is identified experimentally. The friction disturbance is compensated using the obtained friction model. Therefore, this paper considers the main three factors comprehensively. The developed algorithm is easy to apply since the controller can be obtained just with one step back-stepping design. The stability of the developed algorithm is proven via Lyapunov analysis. Both co-simulation and experiments are performed to verify the effectiveness of this method.     

复合材料开口结构参数化建模技术研究

基于MSC.Patran软件,运用PCL语言编写了参数化建模程序,实现了多种开口形式和加强形式的复合材料开口结构二维模型快速化、自动化建立。运用刚度等效原理将复合材料任意截面形式的筋条等效成各向同性矩形实心筋条,解决了目前有限元软件中没有提供复合材料一维梁单元的问题。结合复合材料开口结构刚度计算与优化设计实例,验证了建模方法的准确性与实用性。     

中层大气受迫Rossby波包的非线性相互作用：Ⅱ.数值计算

本文对中层大气受迫Ｒｏｓｓｂｙ波包的非线性三波相互作用问题作了进一步的数值分析，结果表明，三个波包随时间演化达到的平衡态与文献［１］的理论结果完全一致，而且仅当系统中只有中等波长波包不受外源强迫时，系统运动有可能出现两个稳定平衡态，在一定外源强度范围内，平衡态会产生尖点突变，平衡态随外源的变化有滞后分岔的特征，系统运动最终达到的平衡态不仅与外源强度的变化方式有关，而且依赖于初始状态。     

FET振荡器注入锁相伏特拉级数分析

应用伏特拉级数法分析了电容耦合ＦＥＴ振荡系统在外加信号下的注入锁定现象，推导出输出信号和注入锁定带宽表达式。与一般非线性系统分析方法相比，伏特拉级数法在建立好系统模型后只需进行代数运算，从而避开了求解非线性，非齐次高阶微分方程的复杂过程。