刚—柔耦合复合结构的动力学建模理论研究

发布时间：2018-03-22 12:34

本文选题：刚-柔耦合　切入点：动力学建模　出处：《南京理工大学》2014年博士论文　论文类型：学位论文

【摘要】：许多机械构件和航空航天结构,如风力发电机叶片、柔性机械臂、直升机旋翼、航空发动机叶片、卫星天线以及太阳能帆板等,都属于柔性附件搭载于刚性主体的刚-柔耦合结构,且都可以简化为转动的中心刚体-悬臂梁或悬臂板模型进行动力学分析。这类结构所承担的任务十分复杂,相应的柔性附件往往处在高温、高载等极端恶劣工况之下。为满足实际工程需求,新型功能复合材料以及智能材料已经逐渐取代传统材料而成为结构设计者的首选。除了实现多体系统轻质化、高速化与高精度化的发展目标外,考虑几何非线性、材料非线性以及含智能材料的柔性复合结构的动力学建模理论研究与控制设计问题也是柔性多体系统动力学领域急需解决的难题之一。本文基于柔性多体系统刚-柔耦合动力学理论,对含有功能梯度材料(FGM)、压电材料和主动约束层阻尼(ACID)等复合智能梁板结构做大范围运动的动力学问题进行了建模理论研究和数值仿真研究。本文的研究工作和成果主要有：1.对柔性多体系统动力学的研究现状、FGM、压电材料、ACLD主被动混合控制和频率转向问题的研究进展进行综述,提出了本文的研究目标和内容。2.对做大范围旋转运动的中心刚体-智能复合梁系统的刚-柔耦合动力学建模理论进行了研究,建立了材料特性沿梁厚度方向梯度分布的中心刚体-FGM梁系统的高次刚-柔耦合模型。在此基础上,将模型拓展为含压电智能材料的旋转中心刚体-FGM梁系统和中心刚体-ACLD梁系统。3.基于高次刚-柔耦合动力学建模方法,编制动力学仿真软件,分别对中心刚体-FGM梁系统和贴有压电片的旋转智能梁系统的动力学特性进行了研究,同时对中心刚体-ACLD智能复合梁系统进行了主被动混合振动控制研究。对做匀速旋转运动的中心刚体-FGM梁系统的自由振动特性进行分析,深入研究了考虑纵横振动模态耦合效应下系统的固有频率与模态特性。采用ACLD主被动混合控制技术,通过设计反馈调节增益,对中心刚体-ACLD复合梁系统实现了智能振动控制。4.以中心刚体-柔性梁(hub-beam)系统为研究对象,通过柔性梁变形倾角的描述思想,建立了另外一种hub-beam系统的刚-柔耦合动力学模型。以梁变形倾角及轴向拉伸应变为变量,采用梁中轴线弧长坐标积分来精确描述其变形场,基于Hamilton变分原理导出了系统的非线性偏微分-积分方程组和有限元离散化完整倾角模型。对梁倾角进行二次泰勒展开,建立了系统的另外三个不同层次的离散化倾角刚-柔耦合动力学模型,即四次倾角模型、二次倾角模型和无拉伸简化二次倾角模型。将二次倾角模型理论应用于中心刚体-轴向FGM楔形梁系统的动力学建模中。5.基于梁倾角变形描述的刚-柔耦合建模理论,编制相应的动力学仿真软件,对中心刚体-悬臂梁系统的动力学行为进行了研究。通过与一次近似刚-柔耦合模型和高次刚-柔耦合模型的比较,证明了所提倾角建模方法的准确性。通过对四个不同层次的离散化倾角刚-柔耦合模型算例计算结果之间的比较,说明各模型在计算效率及精度上的差异。基于高效的二次倾角模型理论,分析了材料特性沿梁轴向梯度分布的中心刚体-FGM楔形梁系统的动力学特性。6.建立了做大范围运动FGM板的刚-柔耦合模型,详细研究了做匀速定轴转动的FGM板自由振动特性,分析了系统的频率转向现象,获得了板的振型变化图及振型节线图。
[Abstract]:Many mechanical components and aerospace structures, such as wind turbine blades, flexible manipulator, helicopter rotor, engine blade, satellite antenna and solar panels, all belong to the rigid flexible coupling structure of flexible appendages mounted on the rigid body, and can be simplified as a rigid body Dynamics Analysis Center - rotating cantilever beam or cantilever plate this kind of structure model. The task is very complex, flexible attachments often in high temperature, under high load extreme conditions. In order to meet the requirement of practical engineering, advanced functional materials and intelligent materials have gradually replaced the traditional materials as the structure designers first choice. In addition to the realization of multi body system of lightweight, high speed development goals with the high precision, considering the geometric nonlinearity, material nonlinearity and dynamics of flexible structures with intelligent material modeling theory research One of the problems of the design and control problem of flexible multibody system dynamics to be solved in the domain. In this paper, the flexible multi-body system rigid flexible coupling dynamics based on the theory of containing functional gradient materials (FGM), piezoelectric materials and active constrained layer damping (ACID) dynamics of composite intelligent beam plate structure to expand the scope of movement the modeling research and numerical simulation theory. In this paper, the main research work and achievements: the status quo, research on dynamics of flexible multibody systems of the 1. pairs of FGM, piezoelectric materials, ACLD hybrid active passive control and frequency to research progress were reviewed, this paper put forward the research goal and content.2. hub to expand the range of the rotational motion of intelligent composite beam system of rigid coupled dynamical modeling theory is studied, established the material properties along the center of the beam thickness gradient distribution of rigid body -FGM High beam system of rigid flexible coupling model. On this basis, the model is extended to the piezoelectric smart materials center of rotation of the rigid body -FGM beam system and hub beam -ACLD system.3. based on high-order coupled rigid flexible dynamics modeling method, dynamic simulation software, dynamic characteristics of -FGM beam system with a central rigid body and pressure rotary piezoelectric intelligent beam system is studied, and the hub -ACLD intelligent composite beam system is studied to control the hybrid active passive vibration. Analyze the free vibration characteristics of hub beam system -FGM do uniform rotation motion, in-depth research considering the natural frequency of longitudinal and transverse vibration modal coupling system and mode characteristics. Using ACLD active passive hybrid control technology, through the design of feedback gain of a central rigid body -ACLD composite beam system realizes intelligent vibration control by.4. Flexible hub beam (hub-beam) system as the research object, through the deformation of flexible beams angle description method, established another kind of rigid flexible coupling dynamics model of hub-beam system. The beam deformation angle and axial tensile strain as the variable, the long axis arc beam coordinate integral to accurately describe its deformation, nonlinear Hamilton variational principle is derived system of Integro partial differential equations and finite element discretization. The complete angle model based on beam angle two Taylor, built three other discrete angle at different levels of the rigid flexible coupling dynamic model of the system, namely the four angle model, two angle model and no two angle tension was simplified model. Dynamic modeling application will be the two time in the center of a rigid angle model FGM axial wedge beam system in.5. based on beam angle deformation of the rigid flexible coupling joint description model The preparation of dynamics simulation software, dynamic behavior of the hub beam system are studied. Through the comparison of the rigid flexible coupling model and high-order rigid flexible coupling model and the first approximation, proved the accuracy of the proposed modeling method. Through the angle of the four different levels of the discrete angle the rigid flexible coupling model for example comparison between the calculated results and the model differences in the calculation efficiency and precision. The two angle model theory based on efficient analysis of the dynamic characteristics of.6. beam along the axial gradient distribution of the hub beam system -FGM wedge material properties established rigid flexible coupling model and range of motion the FGM board, a detailed study of the uniform rotation of the FGM plate free vibration analysis of the system, the frequency of steering phenomenon, won the mode change chart and the vibration plate section line.

【学位授予单位】：南京理工大学
【学位级别】：博士
【学位授予年份】：2014
【分类号】：TB122

【参考文献】