一类柔性梁系统的谱分析和半群生成

讨论了一类双臂三关节柔性梁系统的分析问题．首先,建立了一个与柔性梁的偏微分方程组及初值边值条件相应的希尔伯特空间中的一阶发展系统．接着讨论系统算子的谱性质和半群性质．最后借助系统算子的谱性质和半群性质提出并证明了柔性梁系统的指数稳定性．     

弹性振动点观测反馈控制古典解的存在性

本文运用有界线性算子的积分半群理论证明弹性振动点观测反馈控制方程古典解的存在性     

带参数悬臂梁问题的单增正解

讨论了带有参数的悬臂梁方程u(4)(t)=λf(t,u(t)),0相似文献   

柔性梁内平衡模型降阶与主动控制的实验研究

内平衡降阶方法能够有效地解决柔性结构的模型降阶问题,尤其是对于频率密集结构．然而由于存在如何从物理传感器测量中提取内平衡模态坐标的问题,目前关于内平衡降阶方法的研究大多是在理论上进行探索,少有实验研究和工程应用报道．该文以柔性梁为对象,开展内平衡降阶方法的理论与实验研究,并且基于降阶模型进行主动控制的设计．文中介绍了一个基于DSP TMS320F2812芯片的实验系统,提出了一个从物理传感器测量中提取内平衡模态坐标的近似方法,并且通过仿真与实验验证了该方法的可行性和有效性,基于降阶模型的控制设计能够有效地抑制梁的弹性振动．     

非线性悬臂梁方程的正解存在定理

研究了非线性悬臂梁方程u^（4）（t）=f（t,u（t）,u′（t））,0相似文献   

广义Hamilton弹性梁控制系统的几何结构与数值解

基于广义Hamilton控制系统的几何结构,给出了适用于点测量,点控制计算与模拟的Euler- Bernoulli梁方程的广义Hamilton典则方程,并且对于一端加剪切力反馈的受控Euler-Bernoulli梁方程在周期初始条件下运用Euler中点公式进行了数值模拟.     

On Periodic Solutions of a Beam Vibration Equation

We prove a theorem on the existence of countably many periodic solutions of a quasilinear vibration equation for a freely supported I-beam.     

Asymptotic Stabilization of a Flexible Beam with Attached Mass

Ukrainian Mathematical Journal - We consider a mathematical model of a simply supported Euler–Bernoulli beam with an attached springmass system. The model is controlled by distributed...     

Feedforward Control for a Non-Uniform Euler-Bernoulli Beam

Flatness-based motion planning is considered for an Euler-Bernoulli beam with viscous damping by introducing a systematic spectral approach, which is based on the Riesz spectral properties of the system operator. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

发汗冷却控制系统的参数辨识问题

研究发汗冷却控制系统中气动加热热流密度的参数辨识问题．证明了该参数辨识的存在及唯一性,给出了参数辨识所满足的充分必要条件,最后,根据得到的充分必要条件,尝试直接构造极小化序列,进而给出该系统参数辨识的算法．     

梁振动方程的一种新解法

本文运用广义差分法建立了梁振动方程一种新解法,并对其稳定性进行了讨论     

中厚悬臂板的固有振动和稳定

本文由设定两个位移函数，应用最小二乘法和能量法，得到中厚悬臂矩形板固有振动和稳定的Ｒｅｉｓｓｎｅｒ近似解。     

饱和多孔弹性Timoshenko悬臂梁的动、静力弯曲

在经典单相Timoshenko梁变形和孔隙流体仅沿饱和多孔弹性梁轴向运动的假定下,基于不可压饱和多孔介质的三维Gurtin型变分原理,首先建立了饱和多孔弹性Timoshenko悬臂梁动力响应的一维数学模型．在若干特殊情形下,该模型可分别退化为饱和多孔弹性梁的Euler-Bernoulli模型、Rayleigh模型和Shear模型等．其次,利用Laplace变换,分析了固定端不可渗透、自由端可渗透的饱和多孔弹性Timoshenko悬臂梁在自由端阶梯载荷作用下的动静力响应,给出了梁自由端处挠度随时间的响应曲线,考察了固相与流相相互作用系数、梁长细比等参数对悬臂梁动静力行为的影响．结果表明:饱和多孔弹性梁的拟静态挠度具有与粘弹性梁挠度类似的蠕变特征．在动力响应中,随着梁长细比的增大,自由端挠度的振动周期和幅值增大,且趋于稳态值的时间增长,而随着两相相互作用系数的增大,梁挠度振动衰减加快,并最终趋于经典单相弹性Timoshenko梁的静态挠度．     

一类非线性悬臂梁方程正解的存在性与多解性

研究了非线性四阶常微分方程u(4)(t)=f(t,u(t),u'(t)),t ∈[0,1]\E在边界条件u(0)=u'(0)=u"(1)=u"'(1)=0下的正解,其中E(∩)[0,1]是一个零测度的闭集,而非线性项,(t,u,u)可以在t∈E时奇异.通过构造适当的积分方程并利用锥上的不动点定理证明了这个方程在满足与n有关的条件下存在n个正解,其中n是某个自然数.     

线性分布载荷作用下功能梯度各向异性悬臂梁的解析解

对功能梯度各向异性弹性悬臂梁在线性分布载荷作用下的弯曲问题进行了研究．从平面应力问题的基本方程出发,假定应力函数为梁长度方向的多项式形式,由应力函数求导给出应力,利用协调方程和边界条件可完全确定应力函数．将解析解与有限元数值方法的结果进行了对比,两者吻合良好．     

Queueing Models for Optimizing System Availability of a Flexible Manufacturing System

This research investigates two maintenance float models in a flexible manufacturing system (FMS). We use classical queueing theory to study the characteristics of the fractional utilization of the system. A mathematical program is constructed to determine the optimal number of floats of an important module used in the FMS and the optimal capacity of the repair station.     

Metaheuristics for a Flexible Assembly System Design Problem

Flexibility has become an important priority in the formulation and implementation of manufacturing strategies. This in turn has opened up a new class of design problems for such systems. Flexible assembly systems (FAS), consisting of a variety of processors and operations, provide the opportunity for improving product manufacturing flexibility, hence gaining competitive advantages. This paper considers a particular design decision problem for FAS. A matrix-based, polynomial-time lower bound algorithm is presented. Simulated annealing and tabu search metaheuristics are formulated to address the problems. Computational experience with these metaheuristics is reported.     

Stabilizing a Flexible Beam on a Cart: A Distributed Port-Hamiltonian Approach

Motion planning and stabilization of the inverted pendulum on a cart is a much-studied problem in the control community. We focus our attention on asymptotically stabilizing a vertically upright flexible beam fixed on a moving cart. The flexibility of the beam is restricted only to the direction along the traverse of the cart. The control objective is to attenuate the effect of disturbances on the vertically upright profile of the beam. The control action available is the motion of the cart. By regulating this motion, we seek to regulate the shape of the beam. The problem presents a combination of a system described by a partial differential equation (PDE) and a cart modeled as an ordinary differential equation (ODE) as well as a controller which we restrict to an ODE. We set our problem in the port-controlled Hamiltonian framework. The interconnection of the flexible beam to the cart is viewed as a power-conserving interconnection of an infinite-dimensional system to a finite-dimensional system. The energy-Casimir method is employed to obtain the controller. In this method, we look for some constants of motion that are invariant of the choice of controller Hamiltonian. These Casimirs relate the controller states to the states of the system. We finally prove the stability of the equilibrium configuration of the closed-loop system.     

基于组合智能控制的柔性臂微机控制系统研究

针对难以控制的柔性机械臂，设计了强鲁棒性、强自适应能力的模糊滑模控制策略；并针对控制对象与控制算法的复杂性，设计了基于DSP＋FPGA的控制系统，保证了系统的实时性和精确度。