|
|
论文:2015,Vol:33,Issue(4):665-671 |
|
|
引用本文： |
|
|
李博, 王三民, 袁茹, 智常建. 基于剪式线性阵列可展结构对称性的动力学分析方法研究[J]. 西北工业大学学报 |
|
|
Li Bo, Wang Sanmin, Yuan Ru, Zhi Changjian. Dynamics Analysis Method Study Based on Linear Array Deployable Structure Symmetry of Scissor-Like Element[J]. Northwestern polytechnical university |
|
|
|
|
|
|
|
| 基于剪式线性阵列可展结构对称性的动力学分析方法研究 |
|
| 李博, 王三民, 袁茹, 智常建 |
|
| 西北工业大学 机电学院, 陕西 西安 710072 |
| 摘要: |
| 为了研究剪式线性对称阵列可展结构的动力学特性,基于杆系能量泛函,建立剪式单元的等效质量矩阵,继而组装得到剪式可展结构的等效质量矩阵。考虑剪式铰的基本约束关系,利用机械系统动力学方程的增广法建立了适用于任意单元个数的剪式线性阵列可展结构的动力学模型。采用一种高精确度的直接违约校正法对系统的坐标和速度进行修正,避免了数值结果的发散。最后通过多步长Runge-Kutta法完成数值仿真,获得了该机构运动过程中各节点位置、速度及加速度随时间变化的曲线。结果表明:由于剪式可展结构的几何约束以及外载的影响,导致各节点沿阵列方向其对称特性表现较好;同时,在受力一侧,各节点沿x轴动力学特性变化较明显,而非受力一侧,速度、加速度等物理量变化幅度很小。 |
| 关键词:
加速度
计算
动力学
几何学
雅克比矩阵
矩阵代数
机构
折叠机构
龙格库塔法
泰勒级数
速度
直接违约校正法
线性阵列
剪式单元
对称特性
|
|
| Dynamics Analysis Method Study Based on Linear Array Deployable Structure Symmetry of Scissor-Like Element |
|
| Li Bo, Wang Sanmin, Yuan Ru, Zhi Changjian |
|
| Department of Mechanical Engineering, Northwestern Polytechnical University, Xi'an, 710072, China |
| Abstract: |
| In order to research the dynamic characteristics of the scissor linear array deployable structure, the equivalent mass matrix of scissor unit is established based on linkage energy functional, which is assembled to obtain the equivalent mass matrix of the scissor pantographic structure. The dynamic model of scissor linear array deployable structure established is applied to any unit number using the augmented method of mechanical system dynamics equation. We use a high accuracy direct default correction method to modify the coordinates and speed of the system and avoid the divergence of numerical results. We use variable step Runge-Kutta method for numerical calculation; the laws of the structure, such as velocity and acceleration, can be obtained. The results show that the nodes of scissor deployable structure have good symmetrical performance along the array direction because of the influence of the geometric constraints and external load; meanwhile, all nodes at the side of the force, the dynamic change is obvious, without force side, however, only a small change along the x axis in speed, acceleration and other physical quantities. |
| Key words:
acceleration
calculations
dynamics
geometry
Jacobian matrices
matrix algebra
mechanisms
pantographs
Runge Kutta methods
Taylor series
velocity
direct default correction
linear array
scissor-like element (SLE)
linear array
symmetrical features
|
|
| 收稿日期: 2015-04-09
修回日期:
|
| DOI: |
| 基金项目: 国家自然科学基金(51175422)资助 |
| 通讯作者:
Email： |
| 作者简介: 李博(1986—),西北工业大学博士研究生,主要从事机构式结构的运动同步性与结构稳定性研究。
|
|
| 相关功能 |
|
|
|
|
| 作者相关文章 |
|
| 李博 在本刊中的所有文章 |
| 王三民 在本刊中的所有文章 |
| 袁茹 在本刊中的所有文章 |
| 智常建 在本刊中的所有文章 |
|
|
|
|
|
|
|
|
参考文献: |
|
|
[1] 李 博, 王三民, 袁茹. 剪式单元直线阵列可展结构的稳定性[J]. 哈尔滨工业大学学报, 2014,46(9):50-54 Li Bo, Wang Sanmin, Yuan Ru. Stability of Linear Array Deployable Structures Based on Structure of Scissor-Like Element[J]. Journal of Harbin Institute of Technology, 2014, 46(9): 50-54 (in Chinese)
[2] Pellegrino S. Deployable Structures[M]. New York, USA: Springer, 2001
[3] Gantes C J. Deployable Structures: Analysis and Design[M]. Southampton, England: Wit Press, 2001
[4] Langbecker T. Kinematic Analysis of Deployable Scissor Structures[J]. International Journal of Space Structures, 1999, 14(1): 1-15
[5] Chen Yan, You Zhong, Tarnai T. Three Fold-Symmetric Bricard Linkages for Deployable Structures[J]. International Journal of Solids and Structures, 2005, 42: 2287-2230
[6] Gan W W, Pellegrino S. Numerical Approach to the Kinematic Analysis of Deployable Structures Forming a Closed LOOP[J]. Mechanical Engineering Science,2006, 220: 1045-1056
[7] 黄铁球,吴德隆,阎绍泽. 带间隙伸展机构的非线性动力学建模[J]. 中国空间科学技术,1999,19(1): 7-12 Huang Tieqiu, Wu Delong, Yan Shaoze. Nonlinear Dynamic Modeling of Deployable Truss Structures with Clearances[J]. Chinese Space Science and Technology,1999,19(1): 7-12 (in Chinese)
[8] 陈向阳, 关富玲. 六棱柱单元可展天线结构设计[J]. 空间科学学报,2001,21(1):68-72 Chen Xiangyang, Guan Fuling. A Large Deployable Hexapld Paraboloid Antenna[J]. Chinese Journal of Space Science, 2001, 21(1): 68-72 (in Chinese)
[9] 纪斌, 王怀磊, 金栋平. 非对称平面剪铰结构的展开过程分析与仿真[J]. 工程力学, 2013: 30(7): 7-13 Ji Bin, Wang Huailei, Jin Dongping. Analysis and Simulation of the Deployment Process for Asymmetric Planar Scissor Structures. [J]. Engineering Mechanics, 2013, 30(7): 7-13 (in Chinese)
[10] Raskin I. Stiffness and Stability of Deployable Pantographic Columns[M]. University of Waterloo, 2000
[11] 于清, 洪嘉振. 受约束多体系统一种新的违约校正方法[J]. 力学学报, 1998, 30(3): 300-306 Yu Qing, Hong Jiazhen. A New Violation Correction Method for Constraint Multibody Systems[J]. Acta Mechanica Sinica, 1998, 30(3): 300-306 (in Chinese)
[12] 陈务军. 空间展开桁架结构设计原理与展开动力学分析理论研究[D]. 杭州: 浙江大学, 1998 Chen Wujun. Deployment Dynamic Analysis Theory and Design Principle Researches for Deployable Space Truss Structures[D]. Hangzhou: Zhejiang University, 1998 (in Chinese)
[13] Fraczek J, Wojtyra M. On the Unique Solvability of a Direct Dynamics Problem for Mechanisms with Redundant Constraints and Coulomb Friction in Joints[J]. Mechanism and Machine Theory, 2011, 46(3): 312-334
[14] Baumgarte J. Stabilization of Constraints and Integrals of Motion in Dynamical Systems[J]. Computer Methods in Applied Mechanics and Engineering, 1972, 1: 1-16
[15] Muvengei O, Kihiu J, Ikua B. Numerical Study of Parametric Effects on the Dynamic Response of Planar Multi-Body Systems with Differently Located Frictionless Revolute Clearance Joints[J]. Mechanism and Machine Theory, 2012, 53: 30-49 |
|
|
|
相关文献: |
|
|
1．杨立本, 章卫国, 黄得刚, 车军.欠驱动四旋翼飞行器反演模糊自适应控制[J]. 西北工业大学学报, 2015,33(3): 495-499 |
|
|
2．石帅, 宋笔锋, 裴扬, 张睿文.数据链支持下飞机敏感性评估方法研究[J]. 西北工业大学学报, 2015,33(5): 811-818 |
|
|
3．赖林, 胡永红, 史忠科.基于车头间距与前车速度的改进优化速度模型[J]. 西北工业大学学报, 2014,32(1): 118-122 |
|
|
4．史静平, 屈晓波, 毕可军.一种基于转矩可达集的操纵面组合分配设计方法[J]. 西北工业大学学报, 2014,32(1): 123-130 |
|
|
5．刘雨童, 张骏, 史忠科.汽车启动时安全距离模型的改进及其验证[J]. 西北工业大学学报, 2014,32(5): 725-729 |
|
|
6．蔡婷, 张洵安.基于DMF研究地震作用下MSCSS的控制特性[J]. 西北工业大学学报, 2014,32(6): 950-955 |
|
|
7．黄长强, 封普文, 曹林平, 黄汉桥, 程华.状态分量综合修正加速度方差的CSM算法[J]. 西北工业大学学报, 2014,32(1): 6-11 |
|
|
8．谭雁英, 许鳌, 祝小平, 周洲.小型无人机掠海飞行高度滤波系统优化设计[J]. 西北工业大学学报, 2013,31(4): 511-516 |
|
|
9．高登巍, 罗建军, 马卫华.基于Lyapunov方法的非合作目标接近与视线跟踪[J]. 西北工业大学学报, 2013,31(4): 577-583 |
|
|
10．孙宏图, 袁茹, 王三民.正方形可展机构的运动学与动力学特性研究[J]. 西北工业大学学报, 2013,31(4): 620-623 |
|
|
11．高怀, 朱战霞.常值径向推力加速度下航天器轨道运动特性研究[J]. 西北工业大学学报, 2012,30(1): 38-43 |
|
|
12．彭小波, 李林, 李佳明, 胡春波.高温超音速喷流噪声场分布特性研究[J]. 西北工业大学学报, 2012,30(5): 779-783 |
|
|
13．郭东, 徐敏, 陈士橹.基于网格速度法的非定常流场模拟和动导数计算[J]. 西北工业大学学报, 2012,30(5): 784-788 |
|
|
14．田薇, 孙秦, 范学领.某型飞机前起舱段结构几何刚度分布优化设计[J]. 西北工业大学学报, 2012,30(6): 857-861 |
|
|
15．陈浩, 徐敏, 蔡天星.高超声速机翼瞬态气动加热下热颤振分析[J]. 西北工业大学学报, 2012,30(6): 898-904 |
|
|
|
|
|
|
