Nonlinear Dynamic Buckling of Damaged Composite Cylindrical Shells

Based on the first order shear deformation theory(FSDT), the nonlinear dynamic equations involving transverse shear deformation and initial geometric imperfections were obtained by Hamilton's philosophy. Geometric deformation of the composite cylindrical shell was treated as the initial geometric imperfection in the dynamic equations, which were solved by the semi-analytical method in this paper. Stiffness reduction was employed for the damaged sub-layer, and the equivalent stiffness matrix was obtained for the delaminated area. By circumferential Fourier series expansions for shell displacements and loads and by using Galerkin technique, the nonlinear partial differential equations were transformed to ordinary differential equations which were finally solved by the finite difference method. The buckling was judged from shell responses by B-R criteria, and critical loads were then determined. The effect of the initial geometric deformation on the dynamic response and buckling of composite cylindrical shell was also discussed, as well as the effects of concomitant delamination and sub-layer matrix damages.     

Dynamic investigation on composite flexible multi-body system considering thermal effect

The dynamic performance of composite flexible multi-body system under the simultaneous action of thermal fields and driving constraint is analyzed. Based on strain-displacement relation of the Mindlin plate theory which includes transverse shear deformation, and considering thermal effect, variation equations of laminated plate are derived by the principle of virtual work. The finite element method is used for discretization. According to kinematics constraint relation, dynamic equations for spatial slider-crank system are established. Simulation results show that spatial deformation (torsion deformation) appears in the multi-layered composite slider-crank mechanism which is simulated with planar motions. Furthermore, the influence of coupling between thermal expansion and flexible deformations of non-symmetrical composite plates on the large overall motion under the uniform temperature field is investigated. Finally, significant change in constraint force due to the spatial deformation is shown.     

Numerical Solution for Stiff Dynamic Equations of Flexible Multibody System

A nonlinear numerical integration method, based on forward and backward Euler integration methods, is proposed for solving the stiff dynamic equations of a flexible multibody system, which are transformed from the second order to the first order by adop- ring state variables. This method is of A0 stability and infinity stability. The numerical solutions violating the constraint equations are corrected by Blajer's modification approach. Simulation results of a slider-crank mechanism by the proposed method are in good a- greement with ones from other literature.     

Nonlinear Absolute Nodal Coordinate Formulation of a Flexible Beam Considering Shear Effect

IntroductionIn the previous hybrid-coordinate formulationof an elastic beam, with the assumption of smalldeformation, the relation between the strain anddeformations is approximated to one order. Suchlinear approximated formulation fails to explain thestiffening effect for a high-speed rotating elasticbeam[1,2]. Some authors developed the systemequations of motion of flexible multibody systemsthat include stress stiffening effects[3]. A furtherimprovement in the formulation can be achieved bye…     

直齿圆柱齿轮副动力学特性分析

利用拉格朗日方程建立了含间隙直齿圆柱齿轮副的动力学模型,通过齿轮轮齿弹性变形的原理数值计算建立了时变刚度的数学模型.利用4~5阶Runge-Kutta数值积分法对系统进行了数值求解.结合Poincaré映射图、相图、FFT频谱图、系统分岔图分析了系统随激励频率和阻尼变化时的动力学行为,发现了其稳定周期运动和倍周期运动及混沌运动.通过齿轮冲击模型数值计算,找出了不同初值情况下的冲击状态.     

柔性防护系统环形拦截网分区等代模型

环形网是被动柔性防护系统中的重要结构单元,其冲击变形具有明显的多柔体非线性动力学特征,其计算模型的构建是柔性防护结构理论研究的难点与关键点. 为了建立环形网的计算模型,首先通过柔性被动网整体结构足尺冲击试验,获取了环形拦截网的区域化变形特征以及网环的典型变形状态;其次通过网环拉伸试验与数值仿真计算的方式得到了各典型变形状态下,网环的荷载位移关系,建立了分区等代计算模型;最后通过与网片顶破试验、动力冲击试验展开对比计算的方式校验了模型的准确性. 研究结果表明:环形拦截网具有明显的分区域变形特征,网环（环形网的基本单元）具有3种典型变形状态,各变形状态的网环均具有两阶段受力特征;据此采用连接于圆心、初始长度为网环半径的“X”形4桁架单元模拟单个网环,将典型变形状态下网环的荷载位移关系等效为桁架单元应力应变关系,连接对应节点形成整片网的单元模型,根据网环所处的变形区域赋予桁架单元相应的应力应变关系,建立了整片环形网的高效率分区域等代模型;通过与静力试验及动力试验的对比,模型计算误差小于10%.      

A comprehensive evaluation method for kinematic accuracy of space manipulator based on analytic hierarchy process

The kinematic accuracy of space manipulator determines whether the spacecraft performs normally or not. Problems pertaining to structural deformation have received increased attention in recent times. In the space manipulator systems, flexible arms and joints can induce drastic dynamic instabilities. In applications such as the space station, kinematic error due to structural deformation can jointly affect the performance characteristics. And it is crucial for accuracy control of space manipulator to establish a precision index. Here we analyze the dynamics characteristic of flexible space manipulator considering the hysteresis of harmonic reducer based on method of nonconstraint boundary modal. For the sake of describing the output accuracy, we integrate the method of analytic hierarchy process(AHP) to establish a comprehensive evaluation index. A numerical simulation is performed to analyze the nonlinear dynamic characteristics of space manipulator with harmonic reducer. With the analysis of accuracy assessment, the relation among the hysteresis angle, rigidity and output accuracy is revealed. Considering the elastic modulus of flexible space manipulator and the hysteresis angle of harmonic reducer, we conduct an evaluation of output characteristics of flexible space manipulator with the proposed comprehensive evaluation index. The accuracy evaluation of output characteristics based on the proposed comprehensive evaluation index is implemented in the initial stage of space manipulator’s design, which can not only solve the problems existing in the design but also save cost savings for ground tests. The results can be used in designing and optimizing future space manipulators, which may provide valuable references for design and thermal control of the space manipulator.     

Modeling Study of Planar Flexible Manipulator Undergoing Large Deformation

The planar flexible manipulator undergoing large deformation is investigated by using finite element method (FEM). Three kinds of reference frames are employed to describe the deformation of arbitrary point in the flexible manipulator, which are global frame, body-fixed frame and co-rotational frame. The rigid-flexible coupling dynamic equation of the planar flexible manipulator is derived using the Hamilton’s principle. Numerical simulations are carried out in the end of this paper to demonstrate the effectiveness of the proposed model. The simulation results indicate that the proposed model is efficient not only for small deformation but also for large deformation.     

非线性方程组求解的新方法

提出了一种求解非线性方程组的方法.将非线性方程组的求解问题转化为最优化问题,对经典BFGS变尺度法进行改进:采用高精度通用数值算法求解函数梯度,采用新的数值解析法进行一维探索,进而有效地提高了BFGS变尺度法的效率和程序通用性;对遗传算法进行了改进.将改进的BFGS变尺度法与改进的遗传算法进行混合杂交,得到一种全局优化算法,数值测试表明该算法是可靠的.     

铁路重载货车轮对弹性振动及其动态影响

为研究轮对弹性振动特性及其对重载货车动力学性能的影响，以30 t轴重重载货车为研究对象，对轮对刚、柔建模时的整车运动稳定性、曲线通过性能等进行了对比研究. 首先，给出了多体动力学中弹性体的数学建模方法；其次，建立轮对柔性体有限元模型，分析了轮对的弹性振动模态，进一步将其集成于多刚体系统中，形成重载货车刚柔耦合动力学分析模型；最后，针对货车多刚体和刚柔耦合两类建模方法，以干线不平顺叠加短波不平顺作为系统激励源，对比分析了重载货车的轮对振动响应、蛇行运动稳定性以及动态曲线通过性能的差异. 研究结果表明:相对刚性轮对而言，柔性轮对的变形能够缓和轮轨刚性冲击，同时弱化轮轨间的刚性约束能力，导致其振动幅度降低，使得车辆非线性临界速度下降约9%，通过小半径曲线时，轮轨横向力也降低了约13.7%，轮对弹性振动对重载货车动态性能的影响同样不容忽视.      

基于改进遗传算法的递归神经网络非线性系统辨识

将递归内时延神经网络应用于非线性动力学系统辨识中，描述了其动力学方程，并引入改进遗传算法作为其学习算法，通过非线性动力学SISO和MIMO系统的辨识仿真研究，验证了内时延递归网络结构和改进遗传算法的有效性。     

质量偏心对裂纹转子系统振动特性的影响研究

将叶轮转子系统简化为Jeffcott转子,在非线性油膜力和流体激振力作用下建立了带有裂纹的转子系统的动力学模型,并推导了系统的无量纲运动方程.运用数值积分法研究了系统响应的分岔特性,分析了质量偏心对裂纹转子分岔特性的影响.结果表明:质量偏心越大,对裂纹转子系统响应的影响也越大.     

Rigid-liquid-flexible dynamic formulation for a two-dimensional tank undergoing translational and rotational motion

Considering rigid-liquid-flexible coupling effect, dynamic formulation for a two-dimensional rectangular tank with liquid sloshing connected to a flexible beam is proposed. Differing from the traditional formulation which considered either the rotational motion or the translational motion of the tank, this formulation can be applied for rigid-liquid-flexible coupling dynamic analysis of tank undergoing translational and rotational motion based on the theorem of momentum and the theorem of moment of momentum. Furthermore, stiffening terms are included in the dynamics equations of the flexible beam. Firstly, the dynamic equations of the rigid-liquid coupling system and the flexible beam are derived, respectively, and then by introducing the Lagrange-multipliers, the rigid-liquid-flexible coupling equations can be combined with acceleration constraint equations. Finally, the mix differential-algebraic equations are solved to investigate the rigid-liquid-flexible coupling dynamic performance of the system.     

不同结构体系斜拉桥抗冲击动力响应

为了探讨斜拉桥抗常规武器冲击的动力响应,为重要桥梁设施工程防护和修复提供重要的理论依据,用LS-DYNA非线性动力有限元程序,针对长杆射弹冲击桥塔的危险情况,对不同结构体系———刚构体系、支承体系和漂浮体系斜拉桥抗冲击动态响应进行了数值模拟分析,比较了结构体系不同对斜拉桥抗冲击动力响应的影响.研究表明,桥塔纵桥向被撞击区域的局部变形最大,3种结构体系中漂浮体系被撞击区域的局部变形最小;刚构体系中塔抗冲击的塑性动力变形最大,冲击破坏危险性最大,其桥面系主梁的振动响应也最明显.     

京津城际高速铁路弓网动态系统有限元仿真

基于非线性有限元理论,建立了京津城际高速铁路弓网动态系统的有限元模型,采用欧拉-伯努利直梁模拟接触网各部件,采用铰链和非线性弹簧相互耦合模拟受电弓,借助MARC软件,对京津城际高速铁路弓网受流情况进行了动态仿真,并利用MARC的后处理功能显示弓网运动过程中的三维动态情况.计算得到了京津城际弓网动态系统的平均接触压力为160.68 N,接触点动态抬升量变化范围为28.5～87.0 mm.与西门子公司提供的仿真结果及京津城际现场的测试结果比较表明:有限元模型是正确和有效的,京津城际弓网动态系统具有良好的动态受流质量.     

随机齿侧间隙的齿轮系统非线性动力学分析

建立了随机齿侧间隙的单自由度齿轮系统的非线性动力学模型,利用变步长Runge-Kutta法对系统在确定齿侧间隙和随机齿侧间隙两种情况下的运动微分方程分别进行了数值求解,结合系统随量纲-间隙平均值变化的分岔图、相图及Poincaré映射图,分析了系统在确定齿侧间隙和随机齿侧间隙两种情况下的动力学特性,在此基础上研究了随机干扰对齿轮系统的动力学影响,发现随机干扰对系统的周期运动影响较大,对系统的倍化分岔过程影响显著,而对系统的混沌运动影响较小.     

金佛山混凝土面板堆石坝地震反应3-D分析

基于等效线性模型,采用三维非线性动力有限元法对拟建金佛山混凝土面板堆石坝进行了地震动力反应分析,重点研究了坝体在地震荷载作用下的加速度反应、动应力反应、地震永久变形的规律和分布。计算结果表明:坝顶附近加速度反应较大,应采取相应的抗震工程措施;坝体动应力反应较小;坝体残余变形不大;大坝整体抗震性能较好,满足给定地震下的抗震安全性要求。     

Substructuring technique for dynamics analysis of flexible beams with large deformation

In this paper, the substructuring technique is extended for the dynamics simulation of flexible beams with large deformation. The dynamics equation of a spatial straight beam undergoing large displacement and small deformation is deduced by using the Jourdain variation principle and the model synthesis method. The longitudinal shortening effect due to the transversal deformation is taken into consideration in the dynamics equation. In this way, the geometric stiffening effect, which is also called stress stiffening effect, is accounted for in the dynamics equation. The transfer equation of the flexible beam is obtained by assembling the dynamics equation and the kinematic relationship between the two connection points of the flexible beam. Treating a flexible beam with small deformation as a substructure, one can solve the dynamics of a flexible beam with large deformation by using the substructuring technique and the transfer matrix method. The dynamics simulation of a flexible beam with large deformation is carried out by using the proposed approach and the results are verified by comparing with those obtained from Abaqus software.     

非线性耦合谐振子模型的一种对角化解法

利用Wegner流方程方法研究非线性谐振子和非线性耦合谐振子系统。对非线性谐振子系统,计算出系统参数随流参数变化的一组方程及系统的能级;对耦合的非线性谐振子系统,得出系统参数随流参数变化的一组非线性方程,数值分析对角化了系统。