作大范围运动弹性结构振动频率及模态的摄动解

根据参数摄动理论，建立了作大范围运动弹性结构特征频率与模态的摄动理论，推导了作大范围运动弹性结构的特征频率与模态的1阶、2阶摄动方程．以作大范围运动弹性梁为例，求解了作大范围转动弹性梁振动频率与模态的1阶、2阶摄动近似解，并与结构动力学意义下的频率与模态进行了比较．该方法解决了在柔性多体系统中大范围运动对柔性体变形运动的振动频率与模态的影响这类刚-柔耦合问题，同时为任意柔性多体系统刚-柔耦合动力学程式化建模提供了高效、精确的离散方法．     

考虑身管柔性的火炮多体动力学方法

本文将火炮身管考虑为有限元梁单元，引入分析力学的拉格朗日方程推导系统动力学方程。提出了一种考虑身管柔性的刚－柔耦合多体系统动力学方法。     

动力刚化系统动力学建模方法的研究

具有大范围、高速运动的柔性体，即使在小变形范围内，运动和变形的耦合将产生动力刚化现象，本文提出一种研究动力刚化系统新的方法，建立了求解动力刚化系统逆问题的数学模型，拓宽了动力刚化问题的研究范围，该项研究对以柔性体为代表的航天器中的构件、机器人和高速机构等机械诉设计、动力学仿真和减振控制，具有重要意义。     

考虑身管柔性的火炮多体动力学方法

本文将火炮身管考虑为有限元梁单元，引入分析力学的拉朗日方程推导系统动力学方程。提出了一种考虑身管柔性的刚－柔耦合多体系统动力学方法。     

打纬机构钢筘的柔性动力学分析

为研究共轭凸轮打纬机构中钢筘的柔性变形问题,基于有限元法对钢筘进行离散化,应用Lagrange方程建立柔性钢筘系统的动力学方程;利用ANSYS软件对钢筘进行网格划分,分析柔性钢筘的模态和振型等振动特性;在ADAMS中建立打纬机构刚-柔耦合模型,在考虑打纬阻力的情况下进行动力学仿真,并对钢筘进行应力分析。结果表明:建立的柔性钢筘动力学方程与仿真结果一致,验证了方程的正确性;钢筘在打纬机构运动过程中出现共振变形的可能性很小;施加打纬阻力时,刚-柔耦合模型的动力学性能相比刚性体时波动增大,并且打纬阻力变化对打纬机构加速度影响明显;钢筘在打纬过程中应力主要集中于下端附近。此结论可为打纬机构的优化设计提供依据。     

并联机器人多柔体系统协同建模与动力学仿真

基于协同的思想,提出了一种对机构的多柔体动力学进行建模和仿真的方法．以多体系统动力学为基础,建立了柔性机构的空间动力学方程．利用多体动力学仿真软件ADAMS和有限元分析软件ANSYS建立了3-TPT型并联机器人的多柔体动力学仿真模型,并对所建立的模型进行了动力学仿真研究．为了更加准确地说明分析结果,分别将刚性体和柔性体仿真结果进行对比,结果表明：由于杆件的柔性特点,其受力表现出了高度的非线性,这与实际相符．多柔体系统的仿真结果能更真实、准确地反映出并联机器人的实际运动特性,能够更准确地预测机构性能．这种方法为并联机器人的设计和优化提供了一种有效的分析方法．     

一般柔性体连续系统的动力学建模方法

基于Ｈａｍｉｌｔｏｎ原理,建立了考虑刚弹耦合作用的一般柔性体连续系统的动力学模型,并针对在水平面内作大范围回转运动的柔性梁,在Ｅｕｌｅｒ－Ｂｅｒｎｏｕｌｉ梁模型的假设前提下,根据轴向不可伸长的柔性梁的几何约束条件,采用假设模态法,推导出柔性梁有限维离散化动力学方程。研究表明,作大范围回转运动的柔性梁,由于运动和变形的耦合将产生动力刚化现象。文中最后给出了仿真算例,验证了该方法的有效性。     

基于小变形的柔性多体系统运动学分析

多体系统中柔性体运动一般分为体参考系的范围运动和变形运动。在多数场合,柔性体的变形运动是较小的,可以用对变形广义坐标线性化的动力学方程描述系统动力学行为。但是,目前通用的一些动力学建模方法用于柔性体动力学建模时,存在过早线性化缺陷,导致最终的动力学方程遗失了一些重要的刚柔耦合项。本文采用非线性变形场描述,计及含有变形广义坐标及其导数的二阶小量项,将这种非线性保留到求出偏速度后,再线性化,建立了柔性     

柔性机械手动力学研究

以多体系统动力学为基础，建立了柔性机械手最为普遍的动力学方程：所建立的方程综合考虑了大规模刚体运动与小变形弹性运动的影响，如刚弯耦合、刚扭耦合、弯扭耦合的影响。新的动力学模型思路清晰。推导简捷，使柔性机械手的动力学计算大大简化。     

柔性机械臂的动力学模型及PD控制

应用模态控制理论，对柔性机械臂的主动控制问题中的动力学模型进行了研究，在小变形假设的前提下，考虑由于横向变形而引起的轴向位移的影响，采用拉格朗日方程建立了计及动力刚化项的动力学模型，并将ＰＤ控制理论和方法应用于该模型。最后，对一单杆柔性机械臂的振动控制进行了计算机仿真。     

有大范围运动的柔性矩形板系统动力学建模

柔性矩形板是航天器上广泛应用的典型构件.用有限元法对柔性矩形板进行离散化处理,得到了体坐标系下的结点位移.在给定系统的大范围运动时,得到了柔性矩形板上任意点的速度和加速度,进而,依据Kane方程建立了含有结构阻尼的矩形板系统动力学方程.根据系统动力学方程,给出了数值仿真结果,同时提出了减小柔性体变形的方法.     

Dynamic modeling and simulation for the rigid flexible coupling system with a non-tip mass

The rigid flexible coupling system with a mass at non-tip position of the flexible beam is studied in this paper. Using the theory about mechanics problems in a non-inertial coordinate system, the dynamic equations of the rigid flexible coupling system with dynamic stiffening are established. It is clearly elucidated for the first time that, dynamic stiffening is produced by the coupling effect of the centrifugal inertial load distributed on the beam and the transverse vibration deformation of the beam. The modeling approach in this paper successfully solves problems of popular modeling methods nowadays: the derivation process is too complex by using only one dynamic principle; a clearly theoretical mechanism for dynamic stiffening can't be offered. First, the mass at non-tip position is incorporated into the continuous dynamic equations of the system by use of the Dirac function and the Heaviside function. Then, based on the conclusions of orthogonalization about the normal constrained modes, the finite dimensional state space equations suitable for controller design are obtained. The numerical simulation results show that: dynamic stiffening is included in the first-order model established in this paper, which indicates the dynamic responses of the rigid flexible coupling system with large overall motion accurately. The results also show that the mass has a softening effect on the dynamic behavior of the flexible beam, and the effect would be more obvious when the mass has a larger mass, or lies closer to the tip of the beam.     

多柔体系统刚柔耦合动力学有限单元法

传统的多柔体系统动力学建模理论,往往基于小变形线性动力学的基本假定,采用线性的Cauchy应变理论描述应变—位移关系。但是,对于具有刚性旋转的位移场来说,Cauchy应变理论并不适用。本文采用Green-Lagrange应变理论,描述有大位移运动的梁单元的非线性位移—应变关系,通过对应变能的分析和线性化处理,建立起相对变形坐标一阶精确的一致线性化的多柔体系统有限元模型,仿真算例的结果验证了该方法的有效性和结构中的几何非线性对系统动力学响应的重要作用。     

Dynamic modeling and simulation for the flexible spacecraft with dynamic stiffening

A rigid flexible coupling physical model which can represent a flexible spacecraft is investigated in this paper. By applying the mechanics theory in a non-inertial coordinate system, the rigid flexible coupling dynamic model with dynamic stiffening is established via the subsystem modeling framework. It is clearly elucidated for the first time that, dynamic stiffening is produced by the coupling effect of the centrifugal inertial load distributed on the beam and the transverse vibration deformation of the beam. The modeling approach in this paper successfully avoids problems which are caused by other popular modeling methods nowadays: the derivation process is too complex by using only one dynamic principle; a clearly theoretical explanation for dynamic stiffening can't be provided. First, the continuous dynamic models of the flexible beam and the central rigid body are established via structural dynamics and angular momentum theory respectively. Then, based on the conclusions of orthogonalization about the normal constrained modes, the finite dimensional dynamic model suitable for controller design is obtained. The numerical simulation validations show that: dynamic stiffening is successfully incorporated into the dynamic characteristics of the first-order model established in this paper, which can indicate the dynamic responses of the rigid flexible coupling system with large overall motion accurately, and has a clear modeling mechanism, concise expressions and a good convergence.     

柔性航天器大角度姿态机动的变论域分形控制

针对具有开环树状拓扑结构的柔性多体航天器,基于真一伪坐标形式的拉格朗日方程,建立柔性多体航天器的动力学模型,充分考虑了柔性航天器的时变与不确定性的动力学特征,设计了改进的变论域分形模糊控制器,并对该系统进行了仿真验证．仿真结果表明,该方案回避了实时计算收缩因子所导致的论域范围实时收缩的缺点,实现了对柔性多体航天器大角度...     

Complete geometric nonlinear formulation for rigid-flexible coupling dynamics

A complete geometric nonlinear formulation for rigid-flexible coupling dynamics of a flexible beam undergoing large overall motion was proposed based on virtual work principle, in which all the high-order terms related to coupling deformation were included in dynamic equations. Simulation examples of the flexible beam with prescribed rotation and free rotation were investigated. Numerical results show that the use of the first-order approximation coupling (FOAC) model may lead to a significant error when the flexible beam experiences large deformation or large deformation velocity. However, the correct solutions can always be obtained by using the present complete model. The difference in essence between this model and the FOAC model is revealed. These coupling high-order terms, which are ignored in FOAC model, have a remarkable effect on the dynamic behavior of the flexible body. Therefore, these terms should be included for the rigid-flexible dynamic modeling and analysis of flexible body undergoing motions with high speed. Foundation item: Project(10772113) supported by the National Natural Science Foundation of China     

Extremum response surface method of reliability analysis on two-link flexible robot manipulator

In order to present a new method for analyzing the reliability of a two-link flexible robot manipulator, Lagrange dynamics differential equations of the two-link flexible robot manipulator were established by using the integrated modal method and the multi-body system dynamics method. By using the Monte Carlo method, the random sample values of the dynamic parameters were obtained and Lagrange dynamics differential equations were solved for each random sample value which revealed their displacement, speed and acceleration. On this basis, dynamic stresses and deformations were obtained. By taking the maximum values of the stresses and the deformations as output responses and the random sample values of dynamic parameters as input quantities, extremum response surface functions were established. A number of random samples were then obtained by using the Monte Carlo method and then the reliability was analyzed by using the extremum response surface method. The results show that the extremum response surface method is an efficient and fast reliability analysis method with high-accuracy for the two-link flexible robot manipulator.     

柔性航天器的模态综合-混合坐标动力学建模

针对由中心体和柔性附件组成的柔性航天器，采用混合坐标法，通过伪坐标形式的拉格朗日方程，建立了全柔性航天器的混合坐标动力学方程。建模中采用模态综合理论的方法，由航天器结构的弹性正则模态和静变形模态组成的模态集表示结构变形，以便更有效的将结构变形的影响引入到航天器的动力学模型中。文中用由盒形中心体和两帆板组成的假想航天器系统为例，以此系统的有限元动力学模型为基准，比较了采用弹性正则模态和静变形模态的模态综合建模和单纯采用弹性正则模态的常规建模时得到的系统特征频率，表明引入了静变形模态以后，所得到的动力学模型能更好反映柔性航天器的动力学特性。