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3PUS-S(P)變胞并聯(lián)機構(gòu)逆動力學(xué)分析
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國家自然科學(xué)基金資助項目(50675154、51275352)


Inverse Dynamics of 3PUS-S(P) Parallel Metamorphic Mechanism
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    摘要:

    對單變胞支鏈型3PUS-S(P)球面變胞并聯(lián)機構(gòu)進行運動學(xué)和動力學(xué)分析,。該機構(gòu)由動平臺,、靜平臺,、3個PUS支鏈和1個中間S(P)變胞支鏈組成,。完全描述該機構(gòu)動平臺的位置和姿態(tài)需要6個變量,,即動平臺上一參考點的3個位移和動平臺的3個轉(zhuǎn)角,。構(gòu)態(tài)1時機構(gòu)有3個轉(zhuǎn)動自由度,,動平臺的6個位姿變量中只有3個變量是獨立的;構(gòu)態(tài)2時機構(gòu)有1個額外的徑向移動自由度,,6個位姿變量中有4個變量是獨立的,。首先,推導(dǎo)該機構(gòu)動平臺的6個位姿參數(shù)之間的約束關(guān)系,,基于矢量代數(shù)法,,建立機構(gòu)的運動學(xué)逆解模型;其次,,運用牛頓-歐拉法建立該變胞機構(gòu)的全構(gòu)態(tài)逆動力學(xué)方程,;最后,基于實物樣機的幾何參數(shù)與物理參數(shù),,在給定動平臺運動規(guī)律和外力后,,通過動力學(xué)方程求解得出機構(gòu)所需驅(qū)動力,、動平臺所受約束力以及變胞過程中的附加作用力,所得仿真結(jié)果說明:3PUS-S(P)球面變胞并聯(lián)機構(gòu)在受到外界較大徑向作用力時,,可以通過激活中間變胞支鏈的移動副進行緩沖和能量吸收,,從而避免機構(gòu)受到損傷。

    Abstract:

    The primary goal of this paper is to analyze the kinematic and dynamics of a 3PUS-S(P) parallel spherical metamorphic mechanism. It consists of a moving platform, base platform, three PUS legs and one middle S(P) metamorphic leg. A complete description of the position and orientation of the moving platform requires six variables. Since the parallel metamorphic mechanism has three degrees of orientation freedom in 1st configuration and extra one degree of translational freedom in 2nd configuration, which implies that only three variables are independent in 1st configuration and four variables in 2nd configuration. Firstly, the constraint equations describing the six motion coordinates of moving platform are derived and kinematic equations are established based on vector algebra method. Secondly, inverse dynamics equations of this metamorphic mechanism are established based on the Newton-Euler formulation. According to geometric and physical parameters of real mechanism, required driving and constraint forces can be obtained when the motion of moving platform and working load are given by solving the inverse dynamics equations. Furthermore the simulation result illustrates that 3PUS-S(P) parallel metamorphic mechanism can avoid impact damage by activating the constrained prismatic pair in middle leg.

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暢博彥,劉艷茹,金國光.3PUS-S(P)變胞并聯(lián)機構(gòu)逆動力學(xué)分析[J].農(nóng)業(yè)機械學(xué)報,2014,45(11):317-323. Chang Boyan, Liu Yanru, Jin Guoguang. Inverse Dynamics of 3PUS-S(P) Parallel Metamorphic Mechanism[J]. Transactions of the Chinese Society for Agricultural Machinery,2014,45(11):317-323.

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  • 收稿日期:2014-06-03
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  • 在線發(fā)布日期: 2014-11-10
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