一类具有分布时滞和离散时滞中立型积分微分方程周期解

考虑了具有分布和离散时滞的方程tt dd t x(t)(-)B(t,s)x(s)ds =C(t,s)x(s)ds +i=l(t,x(t -(t)))+b(t) ∫-∞ A(t,x(t))x(t)+ ∫-∞ ∑giτi周期解的存在性问题。文章通过利用线性系统的指数二分性和 Krasnoselskii不动点定理得到了1上述方程周期解存在唯一的充分条件,结论推广和改进了已有文献的结果,并通过一个例子说明该结果的优越性。     

一类Nicholson''''s blowflies模型的全局吸引性

研究了nicholson's blowflies动态模型N(t)＝-δN(t)+∫.p(s)N(t-τ(s))e-N(t-τ(x))ds的全局吸引性,获得了该方程的正平衡解为全局稳定的充分条件.     

根据遥测空间目标温度数据测算其热特性参数

空间目标存在着与热环境条件相对应的平衡温度（Te)。本文推导了计算Te的简化公式；参照对应状态定律，引入了对比温度τ=（T／Te)及其特征函数f(τ）=（arcth(τ）/2（当τ＜1即T＜Te时）或f(τ)=(arcth(τ)-arctg（τ）/2(当τ＞1即T＞Te时），推导出无内热源空间目标在Te恒定的条件下，其f(τ)与时间和t成正比的结论，其斜率为目标特性参数的组合εσTe^3/(MC/A),截距（f(τ0)取决于初温（T0），并用空间气球目标的T（t)实例予以验证。因此，可根据遥测空间目标的T（t)数据来测算其热特性参数。     

用多重网格法生成随时间变化的贴体网格

 一、基本理论 为了能够准确地计算绕弹性体,特别是跨音速范围的非定常气动力,有必要建立一种快速生成的随时间变化的贴体计算网格,即通过变换ζ=ζ(x,y,t),η=η(x,y,t),ζ=ζ(x,y,t),τ=t (1)将边界形状随时间变化的物理流场(x,y,z)变换到便于计算的矩形计算空间(ζ,η,ζ)内。这样,与计算空间内计算节点相对应的流场节点的位置是随时间改变的。因此在进行流场计算时,不仅要确定流场内每一时刻计算节点的位置,同时还应确定其随时间的变化速率(x_?,y_?,z_?)。在此主要以二维问题进行讨论。     

ADAPTIVE MULTIPLE MODEL FILTER USING IMM AND STF

Consider a discrete- time stochastic hybridsystem　 x( k 1 ) =f( k, ( k) ,x( k) ,m( k 1 ) ) ζ( k,m( k 1 ) ) q( k) ( 1 )　 z( k 1 ) =h( k 1 ,x( k 1 ) ,m( k 1 ) ) v( k 1 ,m( k 1 ) ) ( 2 )where state x∈ Rn;measurement z∈ Rm;input∈ Rp;modeling noise q( k)∈ Rqis a zero- mean,Gaussian white noise with covariance Q( k) ;measurement noise v( k 1 )∈ Rm is also a zero-mean,Gaussian white noise with covariance R( k 1 ) ;q( k) and v( k) are statistically indepen-dent. Th…     

一类具有时滞的细胞繁殖模型的正周期解的存在性

研究了一类血红细胞生存模型的时滞微分方程y（t）=-a（t）y（t）＋6（t）e^-r（t）y（r-τ（t））,t≥0的正周期解的存在性,给出其存在的充分条件。     

四阶非线性常微分方程四点边值问题解的存在性、唯一性

本文利用格林函数、Banach空间中的压缩映象原理及Schauder不动点定理证明了四阶方程y( 4 ) =f(t,y ,y′,y″,y ) ( 1 )满足下列四点边界条件y(i) ( t1) =a1,y(j) ( t2 ) =a2 ,y(k) ( t3) =a3,y(l) ( t4 ) =a4 ( 2 )的边值问题解的存在性和唯一性。其中 t1, t2 , t3, t4 ,∈ {t1,t2 ,t3,t4 }且互不相同 ,a 相似文献   

二分图中哈密顿[k,k+1]因子

主要研究了在均衡二分图G中哈密顿[k,k 1]因子的存在性.设G=(X,Y,E),|X|=1Y1=2/n≥4(k-2)-3,k≥2且n≥2,δ(G)≥k,若G中每一对不相邻的顶点u,v有max{dG(x),dG(x)}≥4/n 2,则G有包含哈密顿圈C的[k,k 1]因子.在此基础上,进一步给出结论:二分图G=(X、Y、E),|x|=|Y|=2/n≥4(k-2)且n≥2,δ(G)≥k,若G中每一对不相邻的顶点u,v有dG(v)≥2/n 4,则G有包含哈密顿圈C的[k,k 1]因子.结论在很大程度上改进了已有的包含哈密顿圈的度条件,进一步完善了包含哈密顿圈的因子理论.     

一类中立型高维周期微分系统的周期解

文中利用指数型二分法,结合不动点定理考虑如下形式的中立型高维周期系统: 苦d/dt[x(t)+cx1]=A(t,x(t))x(t)+f(t,x1),得到其T-周期解存在的充分性条件,所得结论改进或推广了早先文献中周期解存在的相应结论。     

二阶非线性时滞微分方程解的振动性和渐进性

主要研究非线性时滞微分方程[a(t)h(x(t))x'(t)]'+p(t)x'(t)+q(t)f(x(σ(t)))=0,t≥T_0和[a(t)h(x(t))x'(t)]'+p(t)x'(t)+q(t)f(x(σ(t)))=e(t),t≥T_0解的振动性和渐进性。     

A comparative study on acoustic damping induced by half-wave, quarter-wave, and Helmholtz resonators

The damping characteristics of three-type resonators, a half-wave, a quarter-wave, and a Helmholtz resonator are studied experimentally by adopting linear acoustic test. A quantitative acoustic property of sound absorption coefficient in a model enclosure with the resonators is measured and thereby, the acoustic-damping capacity of a resonator is characterized. For a comparative study on acoustic damping, the damping capacity of a half-wave resonator is compared with that of the other resonators. A half-wave and a quarter-wave resonators have the same damping mechanism, but a quarter-wave resonator has much larger damping capacity than a half-wave resonator with the same diameter of a single resonator. It is found that shorter length of a resonator has the advantage of longer one with respect to the damping capacity. The damping capacity of a Helmholtz resonator increases with cavity volume and does as the orifice length decreases. A Helmholtz resonator has the highest damping capacity of three-type resonators and a half-wave resonator has the lowest. Besides, a Helmholtz resonator requires the smallest number of resonators for optimal damping. The design criterion of each resonator on the optimal damping is provided by the normalized parameter of open-area ratio and the similarity behavior for the optimal damping is observed for various enclosure diameters.     

大小叶片轴流级反问题设计及数值模拟

 在常规轴流级流线曲率法通流设计和任意中弧线叶型造型方法的基础上,引入了适合于大小叶片的当量扩散因子叶型损失模型,发展了用Miller-Lewis-Hartmann(M-L-H)模型分别计算大叶片和小叶片激波损失的复合激波模型,制定了大小叶片装配方法,建立了大小叶片通流反问题设计系统。用该系统对某级增压比为2.20的单级高负荷后掠风扇进行了后掠和前掠大小叶片改型设计。经计算流体力学(CFD)检验,维持后掠造型的改型,在不提高设计点增压比的条件下,级绝热效率相当,流量和失速裕度都得到了提高;而大小叶片结合前掠的改型,当考虑单排静子的最大载荷将设计级增压比提高至2.31时,级绝热效率略微降低约0.3%,流量略减,失速裕度则显著提高。算例也表明通流反问题设计系统适合于大小叶片轴流级的设计。     

液体冲压发动机控制系统半实物仿真

运用小偏离线性化理论和Willoh方法，建立了液体冲压发动机和弹体动态数学模型。动态数学模型在微型计算上一体化运行，形成液体冲压发动机／弹体一体化实时数字仿真器。实时数字仿真器通过输入输出接口与液体冲压发动机的实际控制系统进行联接，组成液体冲压发动机、弹性和发动机控制系统半实物仿真系统。对冲压发动机飞行马赫数和控制 系统供油量的半实物仿真结果表明，系统能满足研制工作的需要。     

Determination of a suitable set of loss models for centrifugal compressor performance prediction

Performance prediction in preliminary design stages of several turbomachinery components is a critical task in order to bring the design processes of these devices to a successful conclusion.In this paper,a review and analysis of the major loss mechanisms and loss models,used to determine the efficiency of a single stage centrifugal compressor,and a subsequent examination to determine an appropriate loss correlation set for estimating the isentropic efficiency in preliminary design stages of centrifugal compressors,were developed.Several semi-empirical correlations,commonly used to predict the efficiency of centrifugal compressors,were implemented in FORTRAN code and then were compared with experimental results in order to establish a loss correlation set to determine,with good approximation,the isentropic efficiency of single stage compressor.The aim of this study is to provide a suitable loss correlation set for determining the isentropic efficiency of a single stage centrifugal compressor,because,with a large amount of loss mechanisms and correlations available in the literature,it is difficult to ascertain how many and which correlations to employ for the correct prediction of the efficiency in the preliminary stage design of a centrifugal compressor.As a result of this study,a set of correlations composed by nine loss mechanisms for single stage centrifugal compressors,conformed by a rotor and a diffuser,are specified.     

止裂孔尺寸对止裂效果影响的研究

当航空器结构在航线使用过程中出现疲劳裂纹损伤时,通常在裂纹尖端打止裂孔进行临时性修理。通过理论分析和计算及试验分析,研究了止裂孔尺寸对止裂效果的影响。结果表明,当航空器结构出现疲劳裂纹损伤时,采用5.57～7.14mm直径的止裂孔进行止裂修理,止裂效果较好;当止裂孔直径为6.35mm时,止裂效果最好。     

局部凹槽对高超声速边界层中第二模态扰动演化的影响

采用直接数值模拟方法研究了局部矩形凹槽对来流马赫数为6.0的高超声速平板边界层中第二模态扰动演化的影响。引入了透射系数(定义为凹槽下游与上游扰动渐近幅值的比率)来量化凹槽的局部散射效应。数值结果表明:对于较浅的凹槽,频率较低的第二模态扰动被促进,而高频扰动的规律相反。对于大多数情况,凹槽深度的增加使得透射系数减小,这表明凹槽对扰动的促进作用减弱或抑制作用增强。当凹槽的深度超过某一临界值时,透射系数与凹槽深度的关系变为正相关,这表明了另一机制的出现。临界深度受扰动的频率影响:频率越低,临界深度越大。      

非线性刚性转子系统振动的主动控制

基于转子系统的非线性振动理论,提出了一种通过控制支承刚性的非线性“软”、“硬”特性减少转子通过临界转速时振动的方法。计算和实验结果均表明该方法可大大地减少转子通过临界转速时的振动。     

Composite control method for stabilizing spacecraft attitude in terms of Rodrigues parameters

In this paper, the attitude stabilization problem of a rigid spacecraft described by Rodrigues parameters is investigated via a composite control strategy, which combines a feedback control law designed by a finite time control technique with a feedforward compensator based on a linear disturbance observer (DOB) method. By choosing a suitable coordinate transformation, the spacecraft dynamics can be divided into three second-order subsystems. Each subsystem includes a certain part and an uncertain part. By using the finite time control technique, a continuous finite time controller is designed for the certain part. The uncertain part is considered to be a lumped disturbance, which is estimated by a DOB, and a corresponding feedforward design is then implemented to compensate the disturbance. Simulation results are employed to confirm the effectiveness of the proposed approach.     

利用二次优化实现柔性冗余度机器人关节力矩最小化研究

对基于振动抑制的柔性冗余度机器人关节力矩的最小化进行了研究。通过分析影响柔性机器人弹性动力响应的因素,得出了在结构参数不变的情况下可以通过适当调整关节运动参数来提高机器人动态性能的结论。在此基础上,通过对柔性冗余度机器人的关节运动进行研究,提出了通过自运动的适当选取从而抑制机器人柔性振动的方法。通过对满足抑振要求的自运动的选取进行分析,指出柔性冗余度机器人在实现振动抑制的基础上还具有二次优化的能力,并且利用这种二次优化的能力得出了基于振动抑制的最小化关节力矩的方法。数值仿真验证了该方法的有效性。     

导弹运动方程的逆解析解

针对在采用反馈线性化理论设计导弹飞行控制系统时控制器算法对导弹逆模型的要求 ,推导了导弹运动方程的逆解析解 ,包括导弹质心运动的运动学方程及其动力学方程的逆解析解、姿态运动的运动学方程及其动力学方程的逆解析解 ,详细给出了逆模型的求解过程 ,为一类飞行控制系统运用全局线性化设计奠定了基础。最后 ,结合工程应用进行了仿真计算 ,仿真结果表明逆解析解的推导是正确的