NEW TIME-EXPLICIT ASYMPTOTIC METHOD FOR THE SOLUTION OF AN EXACT CONTROLLABILITY PROBLEM OF SCATTERING WAVES

In this paper a new time-explicit asymptotic method is presented through introducing an auxiliary parameter for the solution of an exact controllability problem of scattering waves. Based on an exact control function, the asymptotic iteration is controlled by the auxiliary parameter and the optimal auxiliary parameter is updated during the iteration based on the existing or current iterated solutions of the wave equation. The numerical results show that the new method presented has a significant advantage over the purely asymptotic method in the history of convergence and has the ability to solve the scattering by the multi-bodies.     

Geometrically exact nonlinear analysis of pre-twisted composite rotor blades

Modeling of pre-twisted composite rotor blades is very complicated not only because of the geometric non-linearity, but also because of the cross-sectional warping and the transverse shear deformation caused by the anisotropic material properties. In this paper, the geometrically exact nonlinear modeling of a generalized Timoshenko beam with arbitrary cross-sectional shape, generally anisotropic material behavior and large deflections has been presented based on Hodges’ method. The concept of decomposition of rotation tensor was used to express the strain in the beam. The variational asymptotic method was used to determine the arbitrary warping of the beam cross section. The generalized Timoshenko strain energy was derived from the equilibrium equations and the second-order asymptotically correct strain energy. The geometrically exact nonlinear equations of motion were established by Hamilton’s principle. The established modeling was used for the static and dynamic analysis of pre-twisted composite rotor blades, and the analytical results were validated based on experimental data. The influences of the transverse shear deformation on the pre-twisted composite rotor blade were investigated. The results indicate that the influences of the transverse shear deformation on the static deformation and the natural frequencies of the pre-twisted composite rotor blade are related to the length to chord ratio of the blade.     

四边简支压电热弹性体层合开口壳的精确解

根据压电热弹性体的本构关系和热传导关系的相似性,通过增维方式将热传导关系写进压电热弹性体的本构关系中,直接得到了一个新的增维的压电热弹性体本构关系。依据此增维的本构关系,结合压电热弹性体平衡方程和热平衡方程,成功地导出了压电热弹性体层合开口壳机、电、热耦合问题的齐次状态方程。这类方法大大简化了人们在分析压电热弹性体耦合问题时通常要求解的非齐次微分方程和关于温度的平衡方程和导热方程的二阶微分方程的繁琐方法,同时,齐次状态方程的提出大大减少了数值计算的工作量。     

机动再入体的带落角约束扩展比例导引律设计

传统的各种制导律都是以获得最小脱靶量为最终目标,没有考虑到导弹击中目标时刻的末端落角.为了保证非自旋再入体完成精确打击目标的任务,针对非自旋再入体垂直打击目标的制导问题,设计了一种带落角约束的扩展比例导引律.仿真研究表明,所设计的末制导律能够保证非自旋再入体命中目标时的脱靶量和末端落角都能满足要求,可以为开展近空间非自旋再入体制导问题的研究提供测试平台.     

带收益的车辆路径问题研究综述

车辆路径问题是企业实现物流配送的关键环节,对带收益的车辆路径问题的研究进行了综述。根据目前该问题的研究进展,对相关的研究进行了分类;分析了该类问题的特点,探讨了相应的0-1整数规划模型及集划分模型,总结了求解该问题的精确算法与启发式算法。介绍了该问题在实际中的应用,展望了其研究前景,为相关研究指出了方向。     

RBFE人工神经网络在四组分络合滴定中的应用

本文用非线性的方法来解决多组分金属离子体系同时测定的问题。在此我们用MATLABv5 .3编写了BP网络和RBFE网络并比较了它们在校正时的情况 ,发现在此体系中RBFE网络优于BP网络。络合滴定是在不加缓冲液的情况下直接滴加入EGTA ,并讨论了滴定体积V与溶液的pH值和溶液中金属离子的初始浓度C0M之间的关系 .最后 ,我们将RBFE网络应用于四组分金属离子CuZnPbCd的同时测定     

电液复合调节作动器的精确线性化建模与控制

针对经典泵控电液作动器固有频率低的问题,对原系统增加了一个新设计的总压力控制阀,它可保证作动筒两个工作腔的压力之和始终为一常数并使两腔压力可控,从而使泵控系统达到和阀控系统相当的固有频率.这种改进型作动器称为EHCA(Electro-Hydraulic Compound regulating integrated Actuator).针对存在的相乘非线性控制问题,通过分析EHCA和总压力控制阀的工作原理,设计了基于精确线性化方法的滑模控制器,并分析了电机转速和变量泵排量在不同工况下的控制量大小配合问题.分析和仿真证明,该设计思想是有效实现高效率、节能和快响应的电液组合作动器方案.     

强厚度叠层连续闭口圆柱壳的精确解

 引入δ—函数,对连续闭口圆柱壳建立状态方程。给出薄的、中厚的和强厚的叠层连续闭口圆柱壳统一的精确解。数值结果和ＳＡＰ５有限元解进行了对比。     

Nk-投射半模及其性质

主要引进了Nκ-投射半模的概念，并结合环中投射模与半环中投射半模的性质，得到了关于Nκ-投射半模的一些性质，这些性质是投射模与投射半模性质的推广。     

一类非线性微分方程极限环的唯二性和唯n性

本文给出微分方程n＝ψ（y)-F(x)恰好y=g(x)存在n个极限环的充分条件定理。本文是在更广泛条件下－－F(x）为n级拟奇可微函数的情形进行讨论。定理的给出的条件,更充分地体现存在n个极限环方程的实际背景的物理意义。