一类非线性控制系统模型的数学分析

采用非线性分析的方法,研究了一类非线性控制系统模型,得到解的整体存在性。     

非线性动态系统的渐近滑态控制概述

总结和推广了非线性动态系统渐近滑态（ＡＳＭ）控制方法的若干理论成果。在相当一般的假设条件下,我们指出了可以采用连续（乃至光滑）的控制方案,将系统的状态驱往给定的滑动流形上。此外,我们还引入了基于Ｈａｍｉｌｔｏｎ－Ｊａｃｏｂｉ方程的理论方法,统一了先前得到的关于闭环系统鲁棒性分析的结果。最后我们列举了一些应用例子和研究建议。     

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.     

一类脉冲时滞抛物型方程解的振动准则

讨论了一类含脉冲的时滞抛物型方程解的振动性,利用格林公式以及Jensen不等式,得出了该方程在一类边界条件下解的振动准则。     

新型PBL键外包钢-混凝土组合梁抗弯承载力简化计算

基于理论分析,建立了新型PBL键外包钢-混凝土组合梁抗弯承载力计算的基本假定和计算模型,推导出组合梁抗弯承载力的简化计算公式,并采用有限元分析软件ANSYS14.5对组合梁进行了非线性有限元分析.对比分析表明:新型PBL键外包钢混凝土组合梁抗弯承载力的试验值、简化计算值和模拟分析值吻合较好.     

模糊时滞系统控制器依赖于状态时滞的H∞控制

针对一类非线性时滞系统,研究了该系统基于T—S模糊模型的H∞控制器设计问题。采用线性矩阵不等式LMI的方法,设计一个依赖于状态时滞的模糊控制器,得到了系统存在模糊控制器的充分条件,此充分条件等价于一类线性矩阵不等式的可解性,最后通过仿真说明了控制器的有效性。     

基于非线性模型预测的翼伞系统控制研究

翼伞系统在飞行过程中,受外界不确定因素的影响呈现出非线性特性和耦合性．应用非线性模型预测控制理论对翼伞系统飞行控制进行了研究,提出基于非线性模型预测控制的翼伞系统控制律设计方法,并推导出控制律解析式．仿真研究表明,合理地选择泰勒展开级数和预测周期,通过泰勒级数展开并截尾后的翼伞非线性控制系统可以表现出良好的控制性能．     

两栖型指控车非线性横摇安全盆侵蚀研究

采用单自由度系统研究了两栖型指控车在规则波激励下的非线性横摇和倾覆,非线性横摇控制方程应用四阶龙格库塔法进行数值积分;以波浪扰动力矩的幅值和波浪的频率作为变量,研究了两栖型指控车的安全盆侵蚀问题。以波浪扰动力矩的幅值为变量的安全盆侵蚀研究结果表明:当波浪扰动力矩大于0.01时,安全盆开始出现侵蚀现象,当波浪扰动力矩大于1.84时,安全盆的安全域已经变成了几个离散的点,随着波浪扰动力矩继续增大,安全盆的安全域将继续严重侵蚀,直到消失为止。以波浪频率为变量的安全盆侵蚀研究结果表明:两栖型指控车的安全盆侵蚀对波浪的频率敏感,安全盆出现明显的侵蚀;随着频率的增大,安全盆侵蚀将不会发生,表明两栖型指控车对高频波浪是安全的。     

临近空间大型柔性充气囊体结构特性分析

以临近空间平流层飞艇柔性充气囊体为研究对象,根据充气结构设计理论对充气囊体结构的最小压差和应力进行计算,建立平流层飞艇充气囊体结构有限元模型。在模型验证的基础上,采用非线性有限元方法对平流层飞艇充气囊体结构特性进行仿真分析,得到了囊体结构在不同压差和吊舱载荷作用下应力和变形分布及变化规律,并分析了结构加强配置对囊体应力和变形的影响,为平流层飞艇结构设计提供技术支撑和参考依据。