A novel formulation of material nonlinear analysis in structural mechanics

This article demonstrates a novel approach for material nonlinear analysis. This analysis procedure eliminates tedious and lengthy step by step incremental and then iterative procedure adopted classically and gives direct results in the linear as well as in nonlinear range of the material behavior. Use of elastic moduli is eliminated. Instead, stress and strain functions are used as the material input in the analysis procedure. These stress and strain functions are directly derived from the stress-strain behavior of the material by the method of curve fitting. This way, the whole stress-strain diagram is utilized in the analysis which naturally exposes the response of structure when loading is in nonlinear range of the material behavior. It is found that it is an excellent computational procedure adopted so far for material nonlinear analysis which gives very accurate results, easy to adopt and simple in calculations. The method eliminates all types of linearity assumptions in basic derivations of equations and hence, eliminates all types of possibility of errors in the analysis procedure as well. As it is required to know stress distribution in the structural body by proper modelling and structural idealization, the proposed analysis approach can be regarded as stress-based analysis procedure. Basic problems such as uniaxial problem, beam bending, and torsion problems are solved. It is found that approach is very suitable for solving the problems of fracture mechanics. Energy release rate for plate with center crack and double cantilever beam specimen is also evaluated. The approach solves the fracture problem with relative ease in strength of material style calculations. For all problems, results are compared with the classical displacement-based liner theory.     

坦克稳定器的神经滑模控制方法

针对坦克稳定器这一类非线性和不确定性的复杂控制对象,提出一种神经滑模控制方法。该方法将滑模控制与神经网络相结合,解决了控制系统跟踪性能和鲁棒性能之间的矛盾。系统中的滑模控制器保证了系统的快速跟踪性能;而神经网络具有很强的自学习功能,通过学习能够保证系统的稳定性,同时可对扰动和参数变化进行有效的抑制补偿,从而在不牺牲系统鲁棒性的同时达到削弱抖振的目的。从理论上证明了滑动平面的稳定性,并且通过仿真验证了该结果。仿真结果表明该设计方法优于经典设计,为实际设计提供了一种可行的新方法。     

Optimal maintenance policies for serial,multi‐machine systems with non‐instantaneous repairs

We study optimal age‐replacement policies for machines in series with non‐instantaneous repair times by formulating two nonlinear programs: one that minimizes total cost‐rate subject to a steady‐state throughput requirement and another that maximizes steady‐state throughput subject to a cost‐rate budget constraint. Under reasonable assumptions, the single‐machine cost‐optimal and throughput‐optimal solutions are unique and orderable, and the multi‐machine optimal solutions have appealing structure. Furthermore, we establish equivalence between the two formulations and provide an illustrative numerical example. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

一类非线性时滞双曲型偏微分方程的振动性

研究一类非线性时滞双曲型偏泛函微分方程解的振动性,利用微分不等式方法和广义Riccati变换,获得了该类方程在第一类边值条件下振动的新的充分条件,所得结果通过实例加以阐明.     

仿生偏振光导航传感器量测模型研究

仿生偏振导航传感器仿照昆虫利用天空偏振光进行导航的原理,测量载体的姿态和方位,具有精度高、功耗低等优势,是一种新型的导航传感器．根据偏振导航的原理分析偏振导航传感器的测量参考矢量和导航能力,根据其参考矢量的数量及性质,对偏振导航传感器使用在不同性质载体上的测量进行建模,并提出其对载体进行定姿的条件．     

临近空间拦截弹非线性控制系统性能研究

针对临近空间高超声速拦截弹执行机构非线性特性影响控制系统响应,提出基于次优控制理论及bang-bang控制理论对该问题进行研究.针对舵偏角速率饱和影响控制系统响应,通过改进正定阵P,Q来确保系统响应特性;针对舵偏角饱和影响控制系统响应,通过建立bang-bang开关曲线,分析推导出开关切换次数及最优时间表达式;最后仿真结果表明临近空间拦截弹的舵偏角饱和严重影响飞行控制系统的快速性.     

基于ANSYS的油罐拱顶稳定性分析

针对加肋拱顶稳定性十分复杂的问题,基于ANSYS建立了加肋拱顶油罐的三维有限元模型,对加肋拱顶的结构稳定性进行了数值模拟。对加肋拱顶在外压作用下的线性与非线性临界屈曲载荷进行了对比分析,利用弧长法获得了拱顶在加肋情况下径向、环向、轴向的载荷-位移曲线。结果表明:数值模拟的加肋拱顶屈曲方向和屈曲区域与实际失稳结果相一致,可以为加肋拱顶设计和稳定性分析提供一定参考。     

基于双滑模变结构的旋转靶弹双通道控制

针对旋转靶弹低空飞行姿态难以快速调整以及参数摄动的问题,基于内外环的双滑模变结构方法,设计了旋转靶弹的双通道控制器。基于非线性模型,对靶弹快速变化的攻角和侧滑角以及慢速变化的高度和偏航距离分别设计了一种积分型滑模面,并采用指数趋近律减轻系统的抖振,利用Lyapunov稳定理论证明其稳定性。非线性仿真结果表明,该设计控制方法能快速准确响应控制指令,且在参数摄动时表现出较强的鲁棒性。     

基于小波网络的非线性系统辨识研究

小波网络为非线性系统辨识研究提供了一种有效的方法,但目前用于小波网络学习的进化算法易陷入局部极小等缺陷.结合生物免疫系统的概念和理论,在非线性系统辨识中引入基于免疫算法的小波网络.该算法中抗体通过浓度相互作用的机制来促进或抑制抗体的生成,借此保持抗体的多样性,并产生了高亲和力的抗体对种群进行不断的更新,提高了算法的全局搜索能力和收敛速度.最后,把基于免疫算法的小波网络用于一个非线性系统辨识的标准实例中,仿真结果验证了该算法的有效性.     

液体火箭发动机非线性燃烧不稳定过程的并行仿真

采用计算燃烧学方法对火箭发动机非线性燃烧不稳定工作过程进行了并行数值模拟。气相控制方程组用欧拉坐标系下的Navier Stokes方程组描述 ,液相控制方程组在Lagrangian坐标系下进行描述。气、液两相作用通过方程组的源项互相耦合。编制了串行和并行程序 ,并在并行计算环境下进行了测试。从计算结果可以看出并行计算的效率较高。