Rigid-Flexible Coupling Dynamic Analysis of Sub-Launched Vehicle During the Vertical Tube-Exit Stage

During the launching stage,hydrodynamic pressure and adapters' reaction loads can influence the vehicle's rigid motion as well as cause its structural vibration,which is a typical rigid-flexible coupling dynamic problem. This paper presents a 2-D rigid-flexible coupling model to calculate the vehicle's dynamic responses in that period.The vehicle was equivalent to a flexure beam with axial deformation. Hybrid coordinate and modal superposition methods were used to describe its large rigid displacement and small deformation. By the second Lagrange equation,the vehicle centroid's displacements,rotational angle and modal coordinates were chosen as generalized coordinates and then the vehicle 's rigid-flexible coupling dynamic equations were obtained. By numerical simulation,the results of vehicle's motion parameters and transverse internal loads were acquired.The calculation results showed that differences of the vehicle's motion parameters between the rigid-flexible coupling model and the rigid body assumption are noticeable and the peak magnitude of the vehicle's transverse internal loads in the rigid-flexible coupling model is higher remarkably than that in the rigid body assumption.

A Study of Dynamic Analysis Method for the Rigid-Flexible Coupled Bar Linkage System

In order to present a dynamic analysis method for the rigid-flexible coupled bar linkage system(RFCBLS),the flexible element motion equation was gotten by Lagrange Equation and the rigid element motion equation was gotten based on rigid constraint conditions.The multi-body system(MBS) is a complex mechanism and its components have quite different rigidities.If it is considered as a rigid MBS(RMBS) to do its dynamic analysis,elastic deformation's ignorance will lead to inaccurate analysis.If it is considered as a flexible MBS(FMBS) to establish,analyze,and solve the model,quite large system equations make it difficult to solve.The better method is as follows:the complex mechanism system is regarded as a rigid-flexible coupled system(RFCS) to make dynamic characteristic of rigid components be equivalent,system equation is established by FMBS' way,and system equation dimensions are reduced by transition matrices' introduction.A dynamic analysis method for rigid element and flexible element coupling was presented based on the FMBS.The analyzed crank slide-block mechanism results show that the dynamic analysis method for RFCBLS is quick and convenient.

Monolithic Coupling of the Pressure and Rigid Body Motion Equations in Computational Marine Hydrodynamics

In Fluid Structure Interaction(FSI) problems encountered in marine hydrodynamics, the pressure field and the velocity of the rigid body are tightly coupled. This coupling is traditionally resolved in a partitioned manner by solving the rigid body motion equations once per nonlinear correction loop, updating the position of the body and solving the fluid flow equations in the new configuration. The partitioned approach requires a large number of nonlinear iteration loops per time–step. In order to enhance the coupling, a monolithic approach is proposed in Finite Volume(FV) framework,where the pressure equation and the rigid body motion equations are solved in a single linear system. The coupling is resolved by solving the rigid body motion equations once per linear solver iteration of the pressure equation, where updated pressure field is used to calculate new forces acting on the body, and by introducing the updated rigid body boundary velocity in to the pressure equation. In this paper the monolithic coupling is validated on a simple 2D heave decay case. Additionally, the method is compared to the traditional partitioned approach(i.e. "strongly coupled" approach) in terms of computational efficiency and accuracy. The comparison is performed on a seakeeping case in regular head waves, and it shows that the monolithic approach achieves similar accuracy with fewer nonlinear correctors per time–step. Hence, significant savings in computational time can be achieved while retaining the same level of accuracy.

Dynamic analysis of spatial parallel manipulator with rigid and flexible couplings

The dynamics of spatial parallel manipulator with rigid and flexible links is explored. Firstly, a spatial beam element model for finite element analysis is established. Then, the differential equation of motion of beam element is derived based on finite element method. The kinematic constraints of parallel manipulator with rigid and flexible links are obtained by analyzing the motive parameters of moving platform and the relationships of movements of kinematic chains, and the overall kinetic equation of the parallel mechanism with rigid and flexible links is derived by assembling the differential equations of motion of components. On the basis of abovementioned analyses, the dynamic mechanical analysis of the spatial parallel manipulator with rigid and flexible links is conducted. After obtaining the method for force analysis and expressions for the calculation of dynamic stress of flexible components, the dynamic analysis and simulation of spatial parallel manipulator with rigid and flexible links is performed. The result shows that because of the elastic deformation of flexible components in the parallel mechanism with rigid and flexible links, the force on each component in the mechanism fluctuates sharply, and the change of normal stress at the root of drive components is also remarkable. This study provides references for further studies on the dynamic characteristics of parallel mechanisms with rigid and flexible links and for the optimization of the design of the mechanism.

Dynamic Study on Rigid and Flexible Coupling System for Terminally Sensitive Submunition

A kinetic model of the rigid and flexible coupling system for terminally sensitive submunition is set up with Kane's method. The parachute is considered as a flexible body, the flexible displacement is expressed with modal spread method, the position of the parachute is expressed with a hybrid coordinate method, and the kinematics of the terminally sensitive submunition is analyzed. Ten generalized coordinates relative to the attitude of the terminally sensitive submunition are chosen, and the correlative generalized active forces, the generalized inertial forces, the generalized internal forces are calculated in turn. On the base of the Kane's method, the ten degrees of freedom dynamic equations for the coupled terminally sensitive submunition are finally set up. This model can be used to expediently simulate and analyze accurately the exterior ballistic trajectory of terminally sensitive submunition, and provide the overall design of the terminally sensitive submunition with some helpful references.

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 sys- tem, the dynamic equations of the rigid flexible coupling system with dynamic stiffening are estab- lished. 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 po- sition is incorporated into the continuous dynamic equations of the system by use of the Dirac lunch tion and the Heaviside function. Then, based on the conclusions of orthogonalization about the nor- mal 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-or- der model established in this paper, which indicates the dynamic responses of the rigid flexible cou- pling system with large overall motion accurately. The results also show that the mass has a soften- ing 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.

A DYNAMIC MODEL FOR ROCKET LAUNCHER WITHCOUPLED RIGID AND FLEXIBLE MOTION

The dynamics of a coupled rigid-flexible rocket launcher is reported. The coupled rigid-flexible rocket launcher is divided into two subsystems, one is a system of rigid bodies, the other a flexible launch tube which can undergo large overall motions spatially. First, the mathematical models for these two subsystems were established respectively. Then the dynamic model for the whole system was obtained by considering the coupling effect between these two subsystems. The approach, which divides a complex system into several simple subsystems first and then obtains the dynamic model for the whole system via combining the existing dynamic models for simple subsystems, can make the modeling procedure efficient and convenient.

Rigid-flexible coupling dynamic modeling and vibration control for flexible spacecraft based on its global analytical modes

In this study, we used global analytical modeswfny(GAMs) to develop a rigid-flexible dynamic modeling approach for spacecraft with large flexible appendages(SwLFA). This approach enables the convenient and precise calculation of the natural characteristics for designing an attitude control law for the spacecraft while simultaneously suppressing the active vibration of its flexible appendages. We simplify the flexible spacecraft as a rigid-flexible coupling hub-beam system with tip mass and derive the system's governing equations of motion based on Hamilton's principle. By solving the linearized form of those equations with their associated boundary conditions, we obtain the frequencies as well as the corresponding GAMs of flexible spacecraft,which we use to discretize the equations of motion. Using this approach, we performed numerical simulations to investigate the system's global modes and assess the performance of the controller based on the GAM model. The results reveal that the GAM model can be used to directly calculate the exact global modes of SwLFAs and that the controller based on the discrete GAM model can achieve a control-index for a SwLFA in a shorter time with less input energy than other methods.

MODELING AND ANALYSIS OF A COUPLED RIGID_FLEXIBLE SYSTEM

Correct predictions of the behavior of flexible bodies undergoing large rigid-body motions and small elastic vibrations is a subject of major concern in the field of flexible multibody system dynamics. Because of failing to account for the effects of dynamic stiffening, conventional methods based on the linear theories can lead to erroneous results in many practical applications. In this paper, the idea of 'centrifugal potential field', which induced by large overall rotation is introduced, and the motion equation of a coupled rigid-flexible system by employing Hamilton's principle is established. Based on this equation, first it is proved that the elastic motion of the system has periodic property, then by using Frobenius' method its exact solution is obtained. The influences of large overall rigid motion on the elastic vibration mode shape and frequency are analysed through the numerical examples.

多簧片结构的磁保持继电器多物理场刚柔耦合仿真模型建立和实验分析

多簧片结构的磁保持继电器衔铁转动引起的触点碰撞、弹跳现象使运动过程复杂,静、动态特性理论分析和仿真模型建立困难。以某型号多簧片结构的磁保持继电器为研究对象,理论分析结构拓扑及工作机理,考虑触点间切入深度,引入狄拉克函数和赫维赛德函数,解决簧片受力分散及触点由于碰撞、弹跳引起的作用力不连续问题;将簧片等效为悬臂梁,基于欧拉-伯努利梁理论建立触簧系统三簧片分段耦合动力学模型。利用Ansys Maxwell引入基于误差的自适应网格划分方法求解电磁机构静态特性;考虑触簧系统簧片运动变形效应,通过ADAMS基于模态理论,构建刚柔耦合动力学仿真模型。基于分段动力学思想,搭建电-磁-机械运动多物理场刚柔耦合仿真模型。利用高速摄像机、电流探头等设计磁保持继电器实验方案,搭建实验平台,测试并分析磁保持继电器触点吸合运动时间、触点压力、弹跳时间、线圈电流,并分析人工装配簧片引起触点压力不同使继电器动作过程存在的不一致性问题,验证该文所提多簧片结构的磁保持继电器特性分段耦合分析方法和多物理场刚柔耦合仿真模型的有效性。

考虑磨损演化的铰链式襟翼机构动力学仿真研究

不同卡位的襟翼气动载荷差别很大,使得轴承在不同襟翼偏角下所承受载荷也存在明显差异,这导致在不同角度位置的轴承磨损深度不一致。因此,引入均匀磨损深度的方法难以适用于襟翼的动力学特性分析。为解决这一问题,提出了一种基于最小二乘法的动力学建模方法。根据襟翼翼面的连接特点利用C-B法对其进行柔性化,并采用RBE2单元建立刚柔耦合动力学模型。联合UAMP、DISP、UMESHMOTION子程序进行磨损演化仿真,获取铰链轴承的非均匀磨损数据,同时通过最小二乘拟合建立磨损深度和襟翼偏角角度以及摩擦因数的映射关系。将该映射关系以铰链轴承中心点的偏移量和轴承摩擦因数的方式更新刚柔耦合动力学模型,以获取在磨损影响下的襟翼机构动力学响应,验证了方法的适用性和有效性。结果表明,随着磨损的进行,襟翼内外侧轴承转轴同轴度逐渐降低,内外侧驱动力矩随之增加,增加幅度最大为15.08%。该方法可为襟翼机构的设计及轴承选型提供一定支持。

深水隔水管-防喷器组耦合系统动力学建模与仿真验证

在深水钻井过程中,隔水管与防喷器组系统是整个作业环节的重要一环。由于在作业过程中面临着诸多风险,因此,建立精确的隔水管-防喷器组耦合系统力学分析模型,准确分析其力学行为和性能,对指导钻井作业安全进行具有重要意义。目前大多只关注于对隔水管的独立建模而忽视防喷器组的潜在影响,这将导致所建模型与实际情况存在差异,使得隔水管系统的力学特性无法得到精确分析。提出了隔水管与防喷器组刚柔耦合概念,推导耦合系统动能、势能,采用拉格朗日方法建立理论模型,用Newmark-β直接积分法对动力学模型进行数值计算。采用ADAMS软件进行了仿真建模,开展不同工况条件下的动态响应对比分析。结果表明,理论模型得到的隔水管横向位移包络线、弯矩包络线、隔水管中部节点横向位移时程曲线和底部弯矩时程曲线与ADAMS仿真结果吻合良好,从而表明了该理论模型的重要性,可为我国隔水管的设计和分析提供参考和支持。

基于变载工况的海上风电机组主轴轴承刚柔耦合动态响应分析

针对海上风电机组主轴用三排圆柱滚子轴承在恒载工况下的仿真结果存在局限性、片面性的问题,提出了一种变载工况下的仿真分析方法,建立了轴承接触力学模型和柔性体模型并对轴承内圈、外圈、保持架进行了刚柔耦合处理。基于变载工况,分析了刚性模型与刚柔耦合模型的理论速度、仿真速度以及加速度响应,并通过刚柔耦合模型研究了三排圆柱滚子轴承内部不同接触表面的接触力特性,结果表明:刚性模型的自转误差比刚柔耦合模型大3.67~22.6倍,刚柔耦合模型的加速度趋势更加平稳且速度波动更小;近风叶轮毂端的推力滚子受力约是远端推力滚子的1.85倍,保持架的平均受力是远端保持架的1.6倍。

大跨度高速铁路桥梁端伸缩装置区段车轨动力响应

为了确保大跨度高速铁路桥梁端伸缩装置区段列车安全运营,通过建立梁端伸缩装置区段车辆-轨道刚柔耦合模型,研究了不同伸缩量、不同车辆行驶速度下梁端伸缩装置各部件动力响应变化规律,并对随机不平顺激励叠加梁端刚度不平顺下车辆运行安全性进行评估。结果表明:梁端伸缩装置各部件动力响应整体随车速增加而呈增大趋势,且各部件垂向加速度随车速变化较大;不同伸缩量下梁端伸缩装置区域钢轨及可动钢枕动力响应整体随梁缝扩大而呈增大趋势,且可动钢枕垂向位移及伸缩装置各部件垂向加速度随伸缩量变化较大;施加随机不平顺后,轮重减载率在车速420 km/h时出现超限情况,钢轨垂向位移在拉伸300~500 mm状态、车速330 km/h时出现超限情况。

织物衬垫磨损对自润滑关节轴承动力学的影响

自润滑关节轴承在服役过程中,衬垫的磨损导致自润滑关节轴承内外圈之间产生间隙,自润滑运动副间隙的存在加速了内外圈之间的碰撞以及衬垫的进一步磨损,对自润滑关节轴承的动力学特性产生较大的影响。此外,衬垫的磨损还会导致各构件非线性特性的恶化,降低自润滑关节轴承的稳定性。为研究织物衬垫磨损对自润滑关节轴承动力学响应的影响,文中建立了带间隙的自润滑关节轴承运动副矢量模型。首先,通过修正Lankarani-Nikravesh(L-N)法向接触力模型和改进的库仑摩擦力模型,对内外圈间隙处的碰撞力进行建模;然后,基于牛顿第二定律建立了含间隙的刚柔耦合动力学方程;最后,分析讨论不同织物衬垫磨损量和不同摩擦因数条件下含间隙的自润滑关节轴承传动系统的动力学特性,并利用相图和Poincare映射图分析了自润滑关节轴承的非线性特性。结果表明:随着织物衬垫磨损量的增加,自润滑关节轴承内圈和外圈的动力学行为表现出非线性特性;衬垫磨损量一定时,随着衬垫摩擦因数的增加,系统稳定性得到提高,抑制了混沌现象的发生。

考虑连杆和关节柔性的工业机器人大臂静动态性能优化

为提高工业机器人整体性能,减小其静动态性能误差,提出一种综合考虑工业机器人连杆和关节柔性的拓扑优化方法。将机器人动力学与拓扑优化相结合,以变密度法(Solid isotropic material with penalization,SIMP)为基础,通过线性加权和法建立工业机器人大臂的多目标拓扑优化函数模型,基于柔性多体动力学理论,利用有限元软件和多体动力学软件建立含关节、连杆柔性的机器人刚柔耦合动力学仿真模型,获得机器人在极限工况下大臂载荷谱,最后,利用层次分析法确定优化目标函数中各子目标的权重系数,并对函数进行求解。优化结果显示,优化后机器人大臂刚度和固有频率都得到提高,并且质量下降18.71%。通过虚拟样机技术重构机器人模型,并对其整体进行分析,结果表明,最大负载作用下,机器人最大变形量从0.208 mm降至0.188 mm,静态变形量误差减小9.62%;动态定位误差从0.777 mm降至0.687 mm,定位精度提高11.58%。上述拓扑优化方法为提升工业机器人整体静动态性能提供了有效的理论参考。

细长桁架臂卸载反弹动应力分布规律及试验

为研究细长桁架臂在卸载冲击下的动态响应变化规律,提出了基于等效梁振型函数的桁架臂动应力分布计算模型。根据等效梁振型函数,探讨了卸载后桁架臂动应力分布假设,分析了影响桁架臂卸载反弹动响应的相关参数。以装备细长桁架臂的动臂塔机为对象,建立了桁架臂精细化有限元模型和起重机刚柔耦合模型,通过仿真辨识了应力分布模型的关键参数。实施了动臂塔机系列载荷卸载冲击试验,桁架臂上主弦杆的动应力试验值与理论计算结果误差小于7%,表明动应力分布理论模型与实际相符。通过理论模型预测了极限工况下桁架臂上主弦杆动应力分布状态,发现在最大载荷卸载条件下起重臂动应力峰值超过结构承载极限,为卸载条件下起重机关键结构的优化设计提供依据。

环境温度对地铁刚性接触网弹性与弓网受流质量影响研究

近年来全国地铁大面积发生弓网异常磨耗事件,特别是冬季异常磨耗已然成为常态,2022年全国有30余条地铁线路出现此现象,经济损失达数亿元。为了研究环境温度对弓网关系的影响,文章首先建立了某地铁线路刚性接触网有限元模型,计算得到环境温度-20~20℃下接触网刚度曲线,并分析了环境温度对接触网刚度影响规律;然后,构建地铁变刚度弓网耦合动力学模型,依据EN 50119等标准验证了其准确性,并计算了环境温度(-20~20℃)、列车运行速度(40~90 km/h)、受电弓静抬升力(70~160 N)、定位线夹卡滞工况下的弓网接触力,着重分析了环境温度对弓网接触力、弓网受流质量的影响规律。结果表明:环境温度与弓网接触力、受流质量具有强正相关性,当环境温度低于0℃时,弓网受流指标将严重恶化;线夹卡滞会对弓网接触力、受流质量带来恶劣影响,而且行车速度越高影响越大。

中心刚体-形状记忆合金层合功能梯度梁的动力学特性研究

文章对中心刚体-形状记忆合金层合功能梯度梁系统在平面内作大范围运动进行动力学特性研究。SMA层采用多项式的形状记忆合金的本构模型和假设的层合部分的功能梯度分布,在考虑横向变形引起纵向变形的非线性耦合量。采用假设模态法对SMA层合FGM梁系统进行离散,运用第二类Lagrange方程推导得到系统高次刚柔耦合模型,编写软件程序进行动力学仿真。研究了形状记忆合金层的在不同功能梯度下温度对动力学特性的影响以及不同温度下增加SMA层厚度对动力学特性的影响。研究结果表明温度和SMA层厚度对系统的动力学特性影响较大。

弹性飞行器飞行动力学建模与刚柔耦合阶次分析

基于虚功率原理与混合坐标法,建立了弹性飞行器的飞行动力学模型。发现了附加在弹性结构上的部件会对飞行器姿轨运动与结构振动产生影响,从而给出了耦合系数与模态质量的修正项。定义了描述弹性变形项保留程度的刚柔耦合阶次,并以由弹性本体和刚体舵面组成的刚柔耦合多体系统为例,通过对比不同刚柔耦合阶次下动力学模型的时域响应与保守系统的动量计算结果,分析了动力学模型及动量公式中弹性变形项的保留阶次对动力学响应及动量计算精度的影响。揭示了传统模型忽略弹性变形高阶项可能导致的误差水平,为弹性飞行器动力学模型的简化与验证提供了参考。