STUDY ON DYNAMICS, STABILITY AND CONTROL OF MULTI-BODY FLEXIBLE STRUCTURE SYSTEM IN FUNCTIONAL SPACE

The dynamics, stability and control problem of a kind of infinite dimensional system are studied in the functional space with the method of modern Mathematics. First, the dynamical control model of the distributed parameter system with multi-body flexible and multi-topological structure was established which has damping, gyroscopic parts and constrained damping. Secondly, the necessary and sufficient condition of controllability and observability, the stability theory and asymptotic property of the system were obtained. These results expand the theory of the field about the dynamics and control of the system with multi-body flexible structure, and have important engineering significance.

Articulated Lifting System Modeling Based on Dynamics of Flexible Multi-Body Systems

In lifting sub-system of deep-sea mining system, spherical joint is used to connect lifting pipes to replace fixed joint. Based on Dynamics of Flexible Multi-body systems, the mechanics model of articulated lifting system is established. Under the four-grade and six-grade oceanic condition, dynamic responses of lifting system are simulated and experiment verified. The simulation results are consistent with experimental ones. The maximum moment of flexion is 322 kN-m on the first pipe under six-grade sea condition. It is seen that the articulated connection can reduce the moment of flexion. The bending deformation of pipe center is researched, and the maximum is 0. 000479 m on the first pipe. Deformation has a little effect on the motion of system. It is feasible to analyze articulated lifting system by applying the theory of flexible multi-body dynamics. The articulated lifting system is obviously better than the fixed one.

Multi-Body Dynamics Modeling and Simulation Analysis of a Vehicle Suspension Based on Graph Theory

Multi-body dynamics,relative coordinates and graph theory are combined to analyze the structure of a vehicle suspension.The dynamic equations of the left front suspension system are derived for modeling.First,The pure tire theory model is used as the input criteria of the suspension multibody system dynamic model in order to simulate the suspension K&C characteristics test.Then,it is important to verify the accuracy of this model by comparing and analyzing the experimental data and simulation results.The results show that the model has high precision and can predict the performance of the vehicle.It also provides a new solution for the vehicle dynamic modeling.

THE COUPLING DYNAMICAL MODELING THEORY OF FLEXIBLE MULTIBODY SYSTEM

Based on the deformation theory of elastic beams, the coupling effect between the coupling displacements of a point on the middle line of beam and large overall motion is presented. The 'coupling matrix library' and Jourdain's variation principle and single direction recursive formulation method are used to establish the general coupling dynamical equations of flexible multibody system. Two typical examples show the coupling effect between coupling displacements and large overall motion on the dynamics of flexible multibody system consisting of beams.

Fluid-structure interaction simulation for multi-body flexible morphing structures

The multi-body flexible morphing airfoil can improve the aerodynamic characteristics based on different flight missions continuously.Recently researches have focused on the unsteady aerodynamic characteristics of flexible wings under passive actuation.However,the unsteady aerodynamic characteristics with the fluid-structure interaction effects in the multi-body active actuation process of morphing airfoil deserve further investigation.In this paper,a fluid-structure coupled simulation method for multi-body flexible morphing airfoil with active actuation subsystem was investigated,and the aerodynamic characteristics during deformation were compared with different skin flexibility,flow field environment,actuation mode and actuation time.The numerical results show that for the steady aerodynamic,the skin flexibility can improve the stability efficiency.In the unsteady process,the change trend of the transient lift coefficient and pitching moment are consistent with those of the active drive characteristics,while the instantaneous lift-drag ratio coefficient is greatly affected by the driving mode and can be improved by increasing the driving duration.

Quasi-variational principles of single flexible body dynamics and their applications

The reasons for studying single flexible body dynamics are that on one hand,it is the basis of flexible multi-body dynamics.If the theory of the single flexible body dynamics has been deeply studied,the theory of flexible multi-body dynamics will be researched easily.On the other hand,it has its unique and important applications.Quasi-variational principle of non-conservative single flexible body dynamics is established under the cross-link of particle rigid body mechanics and deformable body mechanics.Taking the interceptor as an example,this paper has explained the physical meaning of the quasi-stationary value condition of the quasi-variational principle in non-conservative single flexible body dynamics.Taking the launch of rocket as an example,it has illustrated the features of"one force for two effects"in a single flexible body dynamics.With an example of the extending flexible beam coupled with the spacecraft attitude,it has shown the transition from the single flexible body dynamics to the flexible multi-body dynamics.Finally,a number of related problems are discussed.

DYNAMIC BEHAVIOR OF THIN RECTANGULAR PLATE ATTACHED TO MOVING RIGID

A nonlinear dynamic model of a thin rectangular plate attached to a moving rigid was established by employing the general Hamilton＇s variational principle. Based on the new model, it is proved theoretically that both phenomena of dynamic stiffening and dynamic softening can occur in the plate when the rigid undergoes different large overall motions including overall translational and rotary motions. It was also proved that dynamic softening effect even can make the trivial equilibrium of the plate lose its stability through bifurcation. Assumed modes method was employed to validate the theoretical result and analyze the approximately critical bifurcation value and the postbuckling equilibria.

考虑电力-交通耦合网动态协调的EV集群灵活性挖掘与优化调度

电动汽车(EV)作为兼具交通与能量双重属性的跨域主体,发挥其时空灵活性将助力电力-交通耦合网的协调运行。为此,文中考虑电力-交通耦合网综合效益,提出了EV集群调控策略。首先,基于弧阻抗函数构建了动态交通网络加载模型。其次,考虑EV用户的各特征参数存在的差异性与耦合性,构建了单体EV灵活运行域模型,并采用基于zonotope线性近似的闵可夫斯基和算法对其聚合,得到EV集群的时变灵活运行域。在此基础上,提出了动态交通流最优分配下EV集群灵活性调控的双层模型,迭代求解得到上下两层耦合变量构成的瞬时单位流量出行成本,从而引导EV的出行与充放电行为。最后,通过与最短路径引导策略进行比较,验证了所提EV集群调控策略的有效性。

链式回转弹仓刚柔耦合动力学建模及特性分析

考虑到装填系统轨道输送链具有链节大、负载大、速度大的特殊性,提出一种基于相对坐标法和板单元离散方式的刚柔耦合动力学建模方法。利用邻接体的相对运动关系推导出运动学方程及体坐标与铰坐标的转化关系,建立广义坐标为独立铰坐标的动力学方程。利用有限元方法,基于板单元理论将链节和弹筒离散化,以链节为例建立单个链节的刚柔耦合动力学方程,随后通过刚-柔运动约束形式,利用增广方程形式,建立轨道输送链系统的刚柔耦合动力学方程。基于此方法,建立某弹仓(闭式轨道输送链)轨道输送链和弹筒的刚柔耦合动力学方程,并在不同工况下将基于板单元离散的数值仿真与实验结果进行对比。基于建立的刚柔耦合动力学模型,分析弹仓传动构件支撑刚度、轨道间隙等因素对弹仓系统的影响。研究结果表明:数值仿真结果与实验结果的趋势基本一致;支撑刚度对系统动态响应的影响程度取决于动力系统的结构形式和受力形式;轨道间隙的变化对系统的动态特性具有较大的影响,在工程应用中需要合理控制间隙;上下轨道错位对弹仓动态特性影响较大,需要合理控制加工装配精度。

Capacity planning of hydro-wind-solar hybrid power systems considering hydropower forbidden zones

In the capacity planning of hydro-wind-solar power systems(CPHPS),it is crucial to use flexible hydropower to complement the variable wind-solar power.Hydropower units must be operated such that they avoid specific restricted operation zones,that is,forbidden zones(FZs),to avoid the risks associated with hydropower unit vibration.FZs cause limitations in terms of both the hydropower generation and flexible regulation in the hydro-wind-solar power systems.Therefore,it is essential to consider FZs when determining the optimal wind-solar power capacity that can be compensated by the hydropower.This study presents a mathematical model that incorporates the FZ constraints into the CPHPS problem.Firstly,the FZs of the hydropower units are converted into those of the hydropower plants based on set theory.Secondly,a mathematical model was formulated for the CPHPS,which couples the FZ constraints of hydropower plants with other operational constraints(e.g.,power balance constraints,new energy consumption limits,and hydropower generation functions).Thirdly,dynamic programming with successive approximations is employed to solve the proposed model.Lastly,case studies were conducted on the hydro-wind-solar system of the Qingshui River to demonstrate the effectiveness of the proposed model.

柔性机构变形动态响应可靠性分析方法

柔性机构中柔性构件变形的动态响应为高度非线性。为了进行柔性机构的动态可靠性分析,提出了柔性机构变形动态响应可靠性分析理论,按照多柔体系统动力学方法建立了柔性机构动态可靠性分析模型,提出了变形动态响应可靠度计算方法。利用蒙特卡罗随机模拟方法抽取少量随机变量样本数据,计算构件变形动态响应随机过程的时间截口分布特性,结合人工神经网络方法进行构件变形动态响应的随机过程分析,得到整个运动时域内变形的随机过程分布规律。通过柔性机构实例进行变形动态响应可靠度计算,结果表明该方法对柔性机构设计和分析具有理论方法指导意义。

漂浮式海上风电机组动力学仿真分析

通过计算机仿真技术,分析深海漂浮式风力发电机组的动力学特性。首先分别建立海上浮式平台的水动力学模型和基于动态入流理论的风轮空气动力学数值模型,然后将其施加到由"风轮-机舱-塔筒-系泊系统"组成的多柔体系统动力学模型上,并由Fortran语言编程计算,将分析模型和结果导入到ADAMS进行可视化及后处理。最后,以美国NREL基本型5 MW风电机组数据为基础,对漂浮式风力机系统和近海的定桩式风力机系统进行动力学分析对比。研究结果表明:漂浮式海上风电机组在运行过程中,其浮式平台承受水动力而产生摇荡运动,气动载荷与水动力相互耦合对整机结构动力响应及功率波动有着明显影响。

风力机组整机多体动力学建模与动态特性研究（英文）

选取某MW级风力发电机组为研究对象,设计了机组运动拓扑结构图,构建了风机整机的刚柔耦合多体动力学分析模型,并与气动力计算软件Aero Dyn和控制求解器通过接口力元实现联合仿真。模态分析计算得到了整机前6阶固有频率和模态振型,分析可知机组与关键转速区间激振频率不发生共振。动态仿真计算得到了3种不同工况下风机塔架迎风方向的位移、加速度动响应以及叶片三坐标方向的叶尖挠度,分析发现阵风期间塔架位移突然增大且瞬时波动剧烈;叶片的x方向叶尖挠度值最大,可能使叶片和塔架发生碰撞。

风力发电机在地震-风力作用下的载荷计算

为了对风力发电机在地震-风力作用下的受力情况进行仿真计算,采用多柔体系统动力学理论建立了风力发电机结构动力学分析模型,并在FORTRAN下编程实现;采用动态入流理论进行气动载荷计算,用Euro code 8生成地震谱。以某企业开发的大型风力机为对象,应用该方法,首先进行了模态分析和地震载荷谱计算,同权威计算软件GH Bladed计算结果的比较表明,建立的计算模型正确可行;然后,对该风力机在地震-风力联合作用下的载荷进行了计算,结果显示,此时风力机所受载荷比正常情况下高出许多。

柔性多体系统动力学研究现状与展望

对柔性多体系统动力学的研究现状进行了概括和总结,主要从柔性体建模方法、刚柔耦合动力学、接触碰撞问题、多物理场耦合、微分代数方程求解技术、控制方法、设计优化及软件开发和实验研究等几个研究方向进行总结,并对未来的研究方向做了展望。

地震作用下的风电机组振动仿真分析

应用基于多柔体动力学的联合仿真技术对地震作用下的风力发电机振动响应进行了研究。首先采用GDW理论进行风力机气动载荷计算分析,在Fortran下建立风力发电"叶轮—机舱—塔架"整机的多柔体系统动力学模型,将该系统模型转化为ADAMS分析模型。然后通过动态链接文件和根据Eurocode8编写的地震载荷谱,在ADAMS中进行地震作用下的风力机系统联合仿真。仿真数据同Bladed软件结果比较表明,该联合仿真方法可较好的模拟风力机在地震作用下的振动响应。该文为研究地震对风力发电机的影响进行了一次有益的探索。

加速工况下传动系统扭转振动分析

传动系统对整车振动和噪声有着重要的影响。作为一个复杂的多自由系统,包括齿轮啮合刚度的非线性和传动轴、半轴等柔性体。首先根据齿轮啮合传动的动力学模型,基于Hertz碰撞理论建立了变速器5档传动齿轮的啮合刚度分析模型;然后建立了车辆传动系统的多体动力学模型,包括变速器齿轮、传动轴、差速器、半轴和轮胎结构,分析得到系统固有特性;融合基于Hertz碰撞理论的变速器传动模型和基于多体动力学的刚柔动力学模型,对加速工况的强迫扭转振动进行了仿真与分析,对比了含非线性齿轮传动的刚体模型及刚柔结合模型的分析结果,最后通过实车进行了验证。

基于空间变形梁的柔性机械臂刚-柔耦合动力学模型研究

针对作大范围空间运动的机械臂,提出了基于变形旋量理论的工业机器人机械臂刚柔耦合动力学建模方法;研究了机械臂空间变形耦合和扭转变形对动力学特性的影响;建立了作大范围空间运动柔性机械臂的刚-柔耦合动力学理论模型,该模型将机械臂应用到空间范围,并考虑扭转变形的影响。对模型做计算仿真分析,将分析结果与传统零次模型进行比较。结果表明:作大范围运动机械臂动力学方程的建立,旋量理论的应用解决了传统数学方法只限于平面运动的局限性;大范围运动与机械臂变形之间的耦合,对于机械臂杆件和终端有一定的影响;计及变形耦合影响的机械臂动力学特性将发生变化,机械臂振动频率会提高。

柔性弹箭飞行力学建模研究

结合传统弹箭刚体飞行动力学理论,基于大运动弹性体浮动框架建模方法,采用混合坐标建立了飞行力学模型,该模型考虑了柔性弹箭惯量矩阵时变效应,通过小参数摄动法确定了柔性变形引起的空气动力变化.采用了合适的浮动框架———线性化Tisserand框架,使得浮动框架引出的约束方程自动满足,飞行力学求解由微分代数混合方程组化为微分方程组;通过分析变形运动方程,给出了在转速变化较慢的被动段时系统临界状态的条件和临界转速.

柔性动边界梁的弹塑性动力响应分析

实际工程中的梁结构并不是采用理想的刚性支承,而通常具有柔性动边界。该文建立了柔性动边界梁的计算模型,模型考虑了梁端有弹性支承、阻尼支承以及刚性块等情况,并利用有限差分方法对运动方程进行离散,研究分析了在动载作用下柔性动边界梁的弹塑性动力响应。研究表明:动边界对梁的变形和受力有很大的影响,与刚性支承相比,竖向弹性支承能够降低梁的振动频率,并且使梁的内力和相对位移幅值减小,从而提高结构的抗力,但提高抗力的效果与载荷作用时间的长短以及振动衰减的程度相关。