Periodic Orbits and Invariant Tori from a Semistable Limit Cycle in the Fast Dynamics

IntroductionIn the paper,the bifurcations of periodic or-bits and invariant tori of the following system wasstudied:x。=f(x,y) εh(t,x,y,ε)∈R2y。=εg(t,x,y,ε)∈R,0≤ε1(1)where h(t,x,y,ε)and g(t,x,y,ε)are T-periodicin t.For simplicity,the functions f,g and h areassumed to be sufficiently smooth in their argu-ments throughout this paper.In Ref.[1],Wiggins and Holmes called thesystems of form Eq.(1)as slowly varying oscilla-tors and pointed out that the systems taking theform occur as mo…     

Application of H infinite control to ship steering system

1Introduction Whensailinginwaves,thestateofshipsteeringisina constantdirectionmostly.Intheconditionofexisting thedisturbanceofwave,windandflow,theship shouldkeepacertainheadingprecisionunderthecon trolofauto pilot.Alongwiththevariationofshipload condition…     

输入扰动对波动鳍推进性能影响的研究

输入扰动对波动鳍推进性能影响是一个新兴的研究领域。本文分析了高频率、小幅度和短波长的正弦波形叠加于波动鳍上时对波动鳍推进力的影响。建立运动学模型,利用四面体网格对计算区域进行划分,采用非耦合隐式求解器求解非定常不可压缩N-S方程和连续性方程。给出计算条件,并对算法给予验证。比较等波幅和变波幅两种正弦扰动波形下,波动鳍的无量纲阻力系数、阻力系数均值以及涡量场随周期(0.05 s、0.1 s、0.3 s、0.5 s、0.8 s)、幅度(0.0008 m、0.001 m、0.0015 m)和波长(0.002 m、0.008 m、0.012 m)的变化情况,从涡动力学角度对该影响进行解释。结果显示:输入扰动不仅影响了波动鳍前缘涡的传递,并对波动鳍周边及尾迹区域漩涡数量和强度产生了改变。除在特定条件外,输入扰动对波动鳍推进力产生负面影响,变波幅扰动的影响要大于等波幅情况。该研究可为波动鳍选择合适参数的输入扰动以提高推进力提供参考。     

Singular perturbation composite control of a free-floating flexible dual-arm space robot

The Free-floating Flexible Dual-arm Space Robot is a highly nonlinear and coupled dynamics system. In this paper, the dynamic model is derived of a Free-floating Flexible Dual-arm Space Robot holding a rigid payload. Furthermore, according to the singular perturbation method, the system is separated into a slow subsystem representing rigid body motion of the robot and a fast subsystem representing the flexible link dynamics. For the slow subsystem, based on the second method of Lyapunov, using simple quantitative bounds on the model uncertainties, a robust tracking controller design is used during the trajectory tracking phase. The optimal control method is designed in the fast subsystem to guarantee the exponential stability. With the combination of the two above, the system can track the expected trajectory accurately, even though with uncertainty in model parameters, and its flexible vibration gets suppressed, too. Finally, some simulation tests have been conducted to verify the effectiveness of the proposed methods.     

船用光伏发电系统最大功率跟踪及自动跟踪控制研究

太阳能是一种新型的可再生清洁能源,资源丰富,对环境无任何污染,被越来越多的用在船舶上。搭载光伏发电系统的船舶具有经济性好、噪音低、振动小、安全性好及无污染等优点,已经得到了初步应用。为研究光伏发电系统在船舶上的应用,针对如何提高光伏发电系统输出功率,提高光伏发电系统的发电效率展开研究,重点对最大功率跟踪控制及自动跟踪控制技术的实现进行研究与分析。     

三阶非线性边值问题的奇摄动

利用微分不等式技巧和Volterra型积分算子，研究了一类三阶非线性奇摄动边值问题解的存在和渐近估计。     

渗透球壳流固耦合问题的位移及内力解

在弹性薄壳的线性(非线性)理论和流体力学基本方程的基础上,在小雷诺数的情况下应用相容欧拉-拉格朗日法建立了渗透球壳在流体中流固耦合的基本方程及关系式,并通过摄动法求解了渗透球壳在粘性流体中的流函数从而进一步解出其位移及内力解.通过具体算例,给出了壳的位移变形及内力图,并对有关参数进行讨论,绘出相关曲线.得出渗透系数k和流速越大的情况下,壳体位移也就越大,相应的内力也变大;球壳在三个角度处位移为零.文章能为过滤器问题提供指导.     

倒立摆的H∞控制仿真与实验

建立了一级倒立摆的奇异摄动模型,在此基础上给出了H∞最优控制,与倒立摆一般模型的H∞最优效果进行了仿真比较。同时根据对实际系统调试结果和仿真结果的比对,进一步证明了仿真得到的结论的正确性。并对所得仿真、实验结果进行分析。     

奇摄动三阶非线性边值问题

利用微分不等式技巧和Volterra型积分算子，研究了三阶非线性奇摄动边值问题εx^(3)=f(t,x,x′,w(ε）x^(3)，ε），g（x′（0），x″（0）=0，x（1）=A，x′（1）=B的存在性及渐近估计。     

运用二阶摄动方法预测焊接点疲劳微弯裂纹的路径发展

利用二阶摄动方法分析研究了轻微弯曲疲劳裂纹尖端应力强度因子的变化幅度,进一步得到了在循环载荷下直线裂纹微弯延伸尖端应力强度因子变化幅值的近似表达式.以匹配渐进扩张的形式考虑了远区域边界条件的效果,研究了裂尖附近的渐进应力场.利用Irwin公式计算出了由于裂纹发展而引起的应变能释放率变化幅值.预测了在具有非均匀断裂韧度的物质中裂纹的延伸.考虑了循环载荷、残余应力,以及由于焊接而引起的物质衰变等因素,利用了二阶摄动方法预测了沿着焊接点传播的弹脆性裂纹路径.