一类非线性动力系统的时滞反馈分叉控制

对时滞控制作用下的参数激励van der Pol-Duffing方程进行了研究,着重研究了时滞参数对该类参数激励系统的1/2亚谐共振-主参数共振分叉响应控制。首先采用摄动法从理论上推导出时滞动力系统的分叉响应方程,再采用数值模拟的方法研究了时滞参数对系统分叉响应的影响。研究结果表明,适当选取时滞参数,不仅可以改变分叉响应曲线的拓扑形态,还可以平移分叉响应曲线,即使其分叉提前或滞后,还能同时满足这两种要求。     

确定重构相空间维数的方法

计算混沌统计特征量前必须先获得重构相空间的维数,因此给出了最大特征值不变法、几何不变量法、虚假邻点法、预测误差最小法、最小Shannon熵法、经验赋值法六种确定方法,得出了应用最大特征值不变法和最小Shannon熵法的工程案例计算结果。     

临近空间对地观测平台的矢量化建模及稳定性分析

研究了临近空间对地观测平台的矢量化建模和稳定性问题.定义了描述观测平台空间运动的坐标系及运动参数;在受力分析的基础上,根据Newton-Euler方程建立了矢量形式的六自由度非线性数学模型;基于此模型,应用Lyapunov稳定性理论对观测平台的稳定性进行了分析.研究结果表明:对于给定的未扰运动,观测平台是渐近稳定的;纵...     

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。     

逆系统空空导弹控制器设计(英文)

利用非线性控制的逆系统方法,设计了导弹质心运动动力学系统的控制器。该控制器通过对弹道坐标系下导弹的切向过载和法向过载的控制,使导弹在控制系统中的速度、弹道倾角和弹道偏角输出信息渐近跟踪制导指令,以实现空空导弹对攻击目标的打击。仿真结果表明,导弹的质心运动参数以较高的精度快速跟踪制导指令,系统性能良好。     

重力势能锁止型外骨骼设计及其效能评价

现存的被动式外骨骼存在助力效果不明显等缺陷。基于人体步态特征,提出了将人体行走过程中的重力势能转化为人体抬腿过程中动能的原理,通过弹簧、曲柄滑块机构、棘轮棘爪机构以及链传动机构的组合,设计了一款被动式下肢机械外骨骼,并通过外骨骼动力学分析和生理消耗指数实验测试的方法进行了外骨骼性能评价。动力学分析结果表明,穿戴外骨骼后髋关节峰力矩总量降低了23.43%,髋关节做功总量降低了30.59%,初步验证了外骨骼的有效性。生理消耗指数实验测试结果表明, 穿戴外骨骼对于短距离动作转换未产生显著效果,但在长距离行走和上坡行走中分别降低了8.1%和10.4%的能量消耗。因此,该下肢外骨骼助力性能得到了验证,为相关领域的研究提供了实例化参考。     

Mechanical properties and thermal conductivity of pristine andfunctionalized carbon nanotube reinforced metallic glass composites:A molecular dynamics approach

This work uses the molecular dynamics approach to study the effects of functionalization of carbon nanotubes (CNTs) on the mechanical properties of Cu64Zr36 metallic glass (MG). Three types of functional groups, carboxylic, vinyl and ester were used. The effect of CNT volume fraction (Vf) and the number of functional groups attached to CNT, on the mechanical properties and thermal conductivity of CNT-MG composites was analysed using Biovia Materials Studio. At lower values of Vf (from 0 to 5％), the per-centage increase in Young's modulus was approximately 66％. As the value of Vf was increased further (from 5 to 12％), the rate of increase in Young's modulus was reduced to 16％. The thermal conductivity was found to increase from 1.52 W/mK at Vf=0％to 5.88 W/mK at Vf=12％, thus giving an increase of approximately 286％. Functionalization of SWCNT reduced the thermal conductivity of the SWCNT-MG composites.     

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。     

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.