發(fā)布時間：2018-07-17 21:32

【摘要】：并聯(lián)機構動力學響應是機器人動力學研究領域的一個重要方面,具有多變量、多參數耦合和形式復雜等特點,建模和求解效率直接影響機器人實時控制的靈敏度和精度。對此,本文基于序單開鏈法,結合虛功原理建立了平面和空間并聯(lián)機構的動力學響應模型,該法將方程維數降至最低,具有形式簡潔,求解效率高,通用性強,并與結構學、運動學分析高度統(tǒng)一的特點。具體內容包括以下幾個方面： 一、按照機構分解路線的耦合度K算法,將并聯(lián)機械系統(tǒng)分解為約束度大于零、等于零和小于零三種類型的單開鏈單元。通過對約束度大于零單開鏈單元的運動學參數進行虛擬賦值,并利用約束度小于零的單開鏈單元建立運動學相容性方程完成整個系統(tǒng)的運動學分析。以此建立常用單開鏈單元的運動學模型,為后續(xù)并聯(lián)機器人機構的動力學響應分析奠定基礎。 二、將序單開鏈法思想與虛功原理相結合,建立平面和空間并聯(lián)機構動力學響應方程的一般通式,其中包含兩種類型：1)不含運動副支反力動力學響應模型,通過速度和加速度分析,將各構件質心運動表達為關于廣義速度和加速度的函數,并通過線性化處理與廣義坐標特殊賦值的方法求得動力學響應方程系數矩陣中的各元素,避免對廣義坐標進行復雜的偏導運算,從而提高建模效率；2)含運動副支反力動力學響應模型,通過解除單開鏈相關運動副約束和新增廣義坐標的方法,并結合單開鏈的動態(tài)靜力分析,得出系統(tǒng)在運行過程中各運動副的受力情況,能有效地降低動力學分析約束方程的個數,降低計算的復雜度。 三、以一個平面3自由度(3-RRR)和空間4自由度(2SPS-2RPS)并聯(lián)機器人研究為例,詳細介紹了運用序單開鏈法進行動力學響應建模的一般思路和步驟。并通過Matlab編程計算得出它們的動力學響應特性曲線,以此對機構運動的動力學性能做出了簡要評估。 機構動力學分析是在結構學,運動學分析的基礎上逐步建立起來的,序單開鏈法不僅使得動力學方程的維數降至最低,而且在運動學及動力學分析時都基于統(tǒng)一單開鏈單元模型,從而形成完整、統(tǒng)一的機構學理論。
[Abstract]:The dynamic response of parallel mechanism is an important aspect in the field of robot dynamics. It has the characteristics of multi-variable, multi-parameter coupling and complex form. Modeling and solving efficiency directly affect the sensitivity and precision of robot real-time control. In this paper, the dynamic response model of planar and spatial parallel mechanisms is established based on the order single open chain method and virtual work principle. The method reduces the dimension of the equation to the lowest, and has the advantages of simple form, high efficiency, strong generality, and structural analysis. The characteristics of a high degree of unity in kinematics analysis. The specific contents include the following aspects: firstly, according to the coupling degree K algorithm of the mechanism decomposition route, the parallel mechanical system is decomposed into three types of single open chain units with constraint degree greater than zero, equal to zero and less than zero. The kinematics parameters of single open chain unit with constraint degree greater than zero are given by virtual assignment. The kinematics compatibility equation of single open chain element with constraint degree less than zero is used to complete the kinematics analysis of the whole system. The kinematics model of single open chain element is established, which lays a foundation for the dynamic response analysis of the subsequent parallel robot mechanism. Secondly, by combining the idea of order single open chain method with the principle of virtual work, a general formula for the dynamic response equations of planar and spatial parallel mechanisms is established, which includes two types: 1) the dynamic response model of reaction force without the support of motion pair. Through velocity and acceleration analysis, the motion of mass center of each component is expressed as a function of generalized velocity and acceleration, and the elements in the coefficient matrix of dynamic response equation are obtained by linearization and special assignment of generalized coordinates. In order to avoid complex partial derivative operation of generalized coordinates and improve the efficiency of modeling, the dynamic response model of reaction force with motion pair support is improved, and the method of lifting the constraint of motion pair associated with single open chain and adding generalized coordinate is adopted. Combined with the dynamic static analysis of single open chain, the force of each pair of motion pairs in the running process of the system is obtained, which can effectively reduce the number of constraint equations in dynamic analysis and reduce the computational complexity. Thirdly, taking a planar 3-RRR and space 4-DOF (2SPS-2RPS) parallel robot as an example, the general idea and steps of dynamic response modeling by using order single open chain method are introduced in detail. The dynamic response curves are calculated by Matlab programming, and the dynamic performance of the mechanism is evaluated briefly. The mechanism dynamics analysis is based on the structural and kinematic analysis. The ordered open chain method not only reduces the dimension of the dynamic equation to the minimum. Moreover, the kinematics and dynamics analysis are based on the unified single open chain element model, thus forming a complete and unified mechanism theory.
【學位授予單位】：南昌大學
【學位級別】：碩士
【學位授予年份】：2012
【分類號】：TH112

【參考文獻】

相關期刊論文 前10條

1 高洪;趙韓;;并聯(lián)機器人機構學理論研究綜述[J];安徽工程科技學院學報(自然科學版);2006年01期

2 白志富,韓先國,陳五一;基于Lagrange方程三自由度并聯(lián)機構動力學研究[J];北京航空航天大學學報;2004年01期

3 袁震;利用旋量和對偶數矩陣法的空間機構動力學分析[J];紡織基礎科學學報;1994年03期

4 孔令富,張世輝,肖文輝,李成元,黃真;基于牛頓—歐拉方法的6-PUS并聯(lián)機構剛體動力學模型[J];機器人;2004年05期

5 胡志剛,王建明;基于凱恩-休斯頓理論的機構動力學分析[J];機械設計與研究;2003年04期

6 李兵,王知行,李建生;基于凱恩方程的新型并聯(lián)機床動力學研究[J];機械科學與技術;1999年01期

7 劉延斌;韓秀英;薛玉君;賈現召;;3-RRRT并聯(lián)機器人正向動力學仿真[J];機械科學與技術;2007年03期

8 郭祖華,陳五一,陳鼎昌;6-UPS型并聯(lián)機構的剛體動力學模型[J];機械工程學報;2002年11期

9 李秦川,黃真;基于位移子群分析的3自由度移動并聯(lián)機構型綜合[J];機械工程學報;2003年06期

10 劉善增;余躍慶;劉慶波;蘇麗穎;O@國寧;;3-■RC并聯(lián)機器人動力學分析[J];機械工程學報;2009年05期

相關博士學位論文 前1條

1 石志新;基于序單開鏈單元的并聯(lián)機器人運動分析模式方法研究[D];南昌大學;2008年

相關碩士學位論文 前1條

1 程海英;并聯(lián)機器人機構創(chuàng)新設計方法研究[D];華中科技大學;2007年

，

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