大范围运动柔性机械臂斜碰撞动力学分析

对作大范围运动柔性机械臂系统,进行斜碰撞动力学分析.基于柔性多体系统刚柔耦合动力学理论,计入耦合变形项,全面考虑大范围刚体运动与弹性小变形运动的耦合,建立系统连续动力学方程.引入斜碰撞力学模型,将法向和切向碰撞力以广义力的形式加入动力学方程中,对系统进行斜碰撞动力学建模分析.法向碰撞模型选取基于连续接触力法的非线性弹簧阻尼模型,切向碰撞模型选取一种修正Coulomb摩擦模型,对切向摩擦力进行统一描述.给出接触、分离判据,实现不同状态的动力学模型转换与求解.对斜碰撞全局动力学进行了仿真验证,分析了柔性机械臂全局过程的动力学特性变化以及碰撞对大范围运动和小变形运动的作用,并对比了不同碰撞方向对大范围运动、变形、机械能、碰撞力等动力学参数的影响.     

太阳电池阵展开与锁定过程的多体动力学分析

柔性太阳电池阵展开动力学分析一般将板间的铰链视为理想铰,展开到位时施加与角度相关的撞击力矩模拟锁定过程.本文采用多体动力学方法,在动力学建模时将板间铰链视为物体,考虑太阳电池阵的刚柔耦合效应,基于Hertz接触理论,建立锁销和锁槽的碰撞模型.然后实现了太阳电池阵展开锁定全过程的动力学数值仿真,并研究了碰撞模型中参数的选取对仿真结果的影响.研究结果表明,碰撞参数的选取不仅影响铰间碰撞力的大小,还会影响整个系统锁定后的频率响应.最后给出了如何选取碰撞参数进行太阳电池阵展开与锁定动力学仿真的策略.     

柔性液压挖掘机械的动力学仿真

一、前言 Recur Dyn 软件是韩国FunctionBay公司的旗舰产品,是新一代的多体动力学仿真分析软件,它采用全新的运动方程理论和完全递归算法,计算极其快速稳定,非常适合于求解大规模的多体系统动力学问题,尤其是接触问题和柔性多体动力学问题.RecurDyn为用户提供许多方便使用的功能(如亲切的用户界面、丰富的函数库、子系统建模、图形分层等),建模快捷、方便、直观、准确.     

基于Mechanism/Pro的汽车悬架系统运动仿真

为了解决多体动力学分析仿真过程中困扰仿真人员的模型建立和修改问题,以汽车独立悬架为研究对象,提出机械系统仿真一种比较理想的方法.首先应用多体动力学求解理论,从悬架物理模型中提取多体动力学求解模型.针对ADAMS/View建模能力较弱,通过三维建模软件Pro/E建模,采用Mechanism/Pro模块定义刚体、添加约束和驱动、调用ADAMS/Solver求解.可以很方便地建立复杂机械系统模型,并根据仿真结果及时对模型进行修改,实现机械系统多体动力学仿真的前处理、求解以及后处理均集成在Pro/E环境中.     

多柔体系统动力学研究进展与挑战

首先回顾多体系统动力学的学科发展和学术交流情况,然后系统概述了多柔体系统动力学方程数值算法、多柔体系统接触/碰撞动力学与柔性空间结构展开动力学三个方面的研究进展及值得关注的若干问题,最后给出了开展多柔体系统动力学研究的若干建议.     

柔性航天器动力学建模及模型降阶研究

针对柔性航天器振动影响飞行器姿态稳定性和精度.为了解决上述问题,提出了多柔体航天器的动力学建模.首先,根据工程实现的假设振型法,采用拟坐标拉格朗日方程,推导出带有刚体模态的二阶系统刚柔耦合动力学模型,其中,为了减少模型计算量,通过坐标变换将刚体模态和柔性模态解耦,利用一种刚体模态解耦的二阶不稳定系统的模型降阶方法,并对航天器多柔体系统动力学方程进行了仿真分析,结果飞行姿态稳定,满足了精度要求,表明了动力学建模与模型降阶法的有效性和正确性.     

基于接触碰撞理论的锭子动力学仿真研究及实践

为减小锭杆顶端振幅对纺纱质量的影响，分析了基于接触碰撞理论的锭子动力学仿真中的分离－接触－碰撞三状态，建立了非变形经典碰撞模型和接触变形模型。建立切换点判定方程计算状态切换点，求解动力学微分方程以获得接触力和碰撞冲量作为失空输入求得模态振型和不平衡响应。比较两类多体动力学仿真结果，提出用碰撞耗能来研究锭子振动控制问题的方法。     

土壤碰撞问题的刚-散耦合动力学分析

本文以探测器着陆行星土壤为背景,对土壤碰撞问题进行刚-散耦合动力学建模与仿真分析研究.结合离散元方法和多体动力学方法,对半球壳装置土壤跌落问题进行耦合动力学仿真.通过与实验结果及有限元仿真结果对比,验证所采用离散元方法的有效性.分析了颗粒场中颗粒尺寸、恢复系数、静摩擦系数等参数,对碰撞中物体和颗粒场的碰撞加速度、碰撞持续时间、振动波形等动力学响应的影响.本研究将拓展对刚-散耦合动力学问题的理论认识,为探测器着陆系统的设计提供技术支持.     

人体运动仿真建模方法研究

为了研究人体在运动过程中的力学行为,探讨人体运动仿真的建模方法,运用多体系统动力学的建模方法建立了17刚体,55自由度的人体动力学模型,模型对人体颈部和下躯干的柔性效应给予了充分考虑,基于第一类Lagrange方程推导了系统的动力学方程,并以某人体为例,利用该模型对人体的行走过程进行了仿真计算,计算结果表明:采用所建立的人体动力学模型进行人体步态仿真、碰撞仿真等研究是现实可行的,最后结合对人体运动仿真的未来发展趋势的展望,说明人体动力学模型有待进一步完善.     

柔性关节柔性连杆机械臂的动力学建模

柔性关节柔性连杆机械臂是典型的非线性、强耦合、欠驱动系统,其控制难度高.对于这类系统,选择合适的动力学模型进行控制器设计对于提高控制性能是非常有帮助的.为此,研究了具有柔性关节柔性连杆机械臂的动力学建模问题,并提出了一种改进的建模方法.在该方法中,连接柔性连杆的柔性关节首先被简化为刚性关节和柔性连杆的弹性约束边界.然后,根据结构动力学理论、哈密顿原理和假设模态法建立系统的刚柔耦合动力学方程.相较于将柔性关节简化为刚性关节和扭簧的传统处理方式,所采用的简化方式一方面可以降低系统的自由度,另一方面可以得到更适合控制器设计的动力学模型.最后,通过数值仿真验证了本文方法的有效性和优势.     

Erratum to: New efficient method for dynamic modeling and simulation of flexible multibody systems moving in plane

Efficient, precise dynamic analysis for general flexible multibody systems has become a research focus in the field of flexible multibody dynamics. In this paper, the finite element method and component mode synthesis are introduced to describe the deformations of the flexible components, and the dynamic equations of flexible bodies moving in plane are deduced. By combining the discrete time transfer matrix method of multibody system with these dynamic equations of flexible component, the transfer equations and transfer matrices of flexible bodies moving in plane are developed. Finally, a high-efficient dynamic modeling method and its algorithm are presented for high-speed computation of general flexible multibody dynamics. Compared with the ordinary dynamics methods, the proposed method combines the strengths of the transfer matrix method and finite element method. It does not need the global dynamic equations of system and has the low order of system matrix and high computational efficiency. This method can be applied to solve the dynamics problems of flexible multibody systems containing irregularly shaped flexible components. It has advantages for dynamic design of complex flexible multibody systems. Formulations as well as a numerical example of a multi-rigid-flexible-body system containing irregularly shaped flexible components are given to validate the method.     

New efficient method for dynamic modeling and simulation of flexible multibody systems moving in plane

Efficient, precise dynamic analysis for general flexible multibody systems has become a research focus in the field of flexible multibody dynamics. In this paper, the finite element method and component mode synthesis are introduced to describe the deformations of the flexible components, and the dynamic equations of flexible bodies moving in plane are deduced. By combining the discrete time transfer matrix method of multibody system with these dynamic equations of flexible component, the transfer equations and transfer matrices of flexible bodies moving in plane are developed. Finally, a high-efficient dynamic modeling method and its algorithm are presented for high-speed computation of general flexible multibody dynamics. Compared with the ordinary dynamics methods, the proposed method combines the strengths of the transfer matrix method and finite element method. It does not need the global dynamic equations of system and has the low order of system matrix and high computational efficiency. This method can be applied to solve the dynamics problems of flexible multibody systems containing irregularly shaped flexible components. It has advantages for dynamic design of complex flexible multibody systems. Formulations as well as a numerical example of a multi-rigid-flexible-body system containing irregularly shaped flexible components are given to validate the method.     

Geometric nonlinear effects on the planar dynamics of a pivoted flexible beam encountering a point-surface impact

Flexible-body modeling with geometric nonlinearities remains a hot topic of research by applications in multibody system dynamics undergoing large overall motions. However, the geometric nonlinear effects on the impact dynamics of flexible multibody systems have attracted significantly less attention. In this paper, a point-surface impact problem between a rigid ball and a pivoted flexible beam is investigated. The Hertzian contact law is used to describe the impact process, and the dynamic equations are formulated in the floating frame of reference using the assumed mode method. The two important geometric nonlinear effects of the flexible beam are taken into account, i.e., the longitudinal foreshortening effect due to the transverse deformation, and the stress stiffness effect due to the axial force. The simulation results show that good consistency can be obtained with the nonlinear finite element program ABAQUS/Explicit if proper geometric nonlinearities are included in the floating frame formulation. Specifically, only the foreshortening effect should be considered in a pure transverse impact for efficiency, while the stress stiffness effect should be further considered in an oblique case with much more computational effort. It also implies that the geometric nonlinear effects should be considered properly in the impact dynamic analysis of more general flexible multibody systems.     

Multibody System Dynamics: Roots and Perspectives

The paper reviews the roots, the state-of-the-art and perspectives of multibody system dynamics. Some historical remarks show that multibody system dynamics is based on classical mechanics and its engineering applications ranging from mechanisms, gyroscopes, satellites and robots to biomechanics. The state-of-the-art in rigid multibody systems is presented with reference to textbooks and proceedings. Multibody system dynamics is characterized by algorithms or formalisms, respectively, ready for computer implementation. As a result simulation and animation are most important. The state-of-the-art in flexible multibody systems is considered in a companion review by Shabana.Future research fields in multibody dynamics are identified as standardization of data, coupling with CAD systems, parameter identification, real-time animation, contact and impact problems, extension to control and mechatronic systems, optimal system design, strength analysis and interaction with fluids. Further, there is a strong interest on multibody systems in analytical and numerical mathematics resulting in reduction methods for rigorous treatment of simple models and special integration codes for ODE and DAE representations supporting the numerical efficiency. New software engineering tools with modular approaches promise improved efficiency still required for the more demanding needs in biomechanics, robotics and vehicle dynamics.     

Non-linear dynamics of flexible multibody systems

In this work we set to examine several important issues pertinent to currently very active research area of the finite element modeling of flexible multibody system dynamics. To that end, we first briefly introduce three different model problems in non-linear dynamics of flexible 3D solid, a rigid body and 3D geometrically exact beam, which covers the vast majority of representative models for the particular components of a multibody system. The finite element semi-discretization for these models is presented along with the time-discretization performed by the mid-point scheme. In extending the proposed methodology to modeling of flexible multibody systems, we also present how to build a systematic representation of any kind of joint connecting two multibody components, a typical case of holonomic contraint, as a linear superposition of elementary constraints. We also indicate by a chosen model of rolling contact, an example of non-holonomic constraint, that the latter can also be included within the proposed framework. An important aspect regarding the reduction of computational cost while retaining the consistency of the model is also addressed in terms of systematic use of the rigid component hypothesis, mass lumping and the appropriate application of the explicit-implicit time-integration scheme to the problem on hand. Several numerical simulations dealing with non-linear dynamics of flexible multibody systems undergoing large overall motion are presented to further illustrate the potential of presented methodology. Closing remarks are given to summarize the recent achievements and point out several directions for future research.     

Flexible Multibody Dynamics: Review of Past and Recent Developments

In this paper, a review of past and recent developments in the dynamics of flexible multibody systems is presented. The objective is to review some of the basic approaches used in the computer aided kinematic and dynamic analysis of flexible mechanical systems, and to identify future directions in this research area. Among the formulations reviewed in this paper are the floating frame of reference formulation, the finite element incremental methods, large rotation vector formulations, the finite segment method, and the linear theory of elastodynamics. Linearization of the flexible multibody equations that results from the use of the incremental finite element formulations is discussed. Because of space limitations, it is impossible to list all the contributions made in this important area. The reader, however, can find more references by consulting the list of articles and books cited at the end of the paper. Furthermore, the numerical procedures used for solving the differential and algebraic equations of flexible multibody systems are not discussed in this paper since these procedures are similar to the techniques used in rigid body dynamics. More details about these numerical procedures as well as the roots and perspectives of multibody system dynamics are discussed in a companion review by Schiehlen [79]. Future research areas in flexible multibody dynamics are identified as establishing the relationship between different formulations, contact and impact dynamics, control-structure interaction, use of modal identification and experimental methods in flexible multibody simulations, application of flexible multibody techniques to computer graphics, numerical issues, and large deformation problem. Establishing the relationship between different flexible multibody formulations is an important issue since there is a need to clearly define the assumptions and approximations underlying each formulation. This will allow us to establish guidelines and criteria that define the limitations of each approach used in flexible multibody dynamics. This task can now be accomplished by using the absolute nodal coordinate formulation which was recently introduced for the large deformation analysis of flexible multibody systems.     

First order sensitivity analysis of flexible multibody systems using absolute nodal coordinate formulation

Design sensitivity analysis of flexible multibody systems is important in optimizing the performance of mechanical systems. The choice of coordinates to describe the motion of multibody systems has a great influence on the efficiency and accuracy of both the dynamic and sensitivity analysis. In the flexible multibody system dynamics, both the floating frame of reference formulation (FFRF) and absolute nodal coordinate formulation (ANCF) are frequently utilized to describe flexibility, however, only the former has been used in design sensitivity analysis. In this article, ANCF, which has been recently developed and focuses on modeling of beams and plates in large deformation problems, is extended into design sensitivity analysis of flexible multibody systems. The Motion equations of a constrained flexible multibody system are expressed as a set of index-3 differential algebraic equations (DAEs), in which the element elastic forces are defined using nonlinear strain-displacement relations. Both the direct differentiation method and adjoint variable method are performed to do sensitivity analysis and the related dynamic and sensitivity equations are integrated with HHT-I3 algorithm. In this paper, a new method to deduce system sensitivity equations is proposed. With this approach, the system sensitivity equations are constructed by assembling the element sensitivity equations with the help of invariant matrices, which results in the advantage that the complex symbolic differentiation of the dynamic equations is avoided when the flexible multibody system model is changed. Besides that, the dynamic and sensitivity equations formed with the proposed method can be efficiently integrated using HHT-I3 method, which makes the efficiency of the direct differentiation method comparable to that of the adjoint variable method when the number of design variables is not extremely large. All these improvements greatly enhance the application value of the direct differentiation method in the engineering optimization of the ANCF-based flexible multibody systems.