3PUS-S(P)变胞并联机构逆动力学分析
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国家自然科学基金资助项目(50675154、51275352)


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

    对单变胞支链型3PUS-S(P)球面变胞并联机构进行运动学和动力学分析。该机构由动平台、静平台、3个PUS支链和1个中间S(P)变胞支链组成。完全描述该机构动平台的位置和姿态需要6个变量,即动平台上一参考点的3个位移和动平台的3个转角。构态1时机构有3个转动自由度,动平台的6个位姿变量中只有3个变量是独立的;构态2时机构有1个额外的径向移动自由度,6个位姿变量中有4个变量是独立的。首先,推导该机构动平台的6个位姿参数之间的约束关系,基于矢量代数法,建立机构的运动学逆解模型;其次,运用牛顿-欧拉法建立该变胞机构的全构态逆动力学方程;最后,基于实物样机的几何参数与物理参数,在给定动平台运动规律和外力后,通过动力学方程求解得出机构所需驱动力、动平台所受约束力以及变胞过程中的附加作用力,所得仿真结果说明:3PUS-S(P)球面变胞并联机构在受到外界较大径向作用力时,可以通过激活中间变胞支链的移动副进行缓冲和能量吸收,从而避免机构受到损伤。

    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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畅博彦,刘艳茹,金国光.3PUS-S(P)变胞并联机构逆动力学分析[J].农业机械学报,2014,45(11):317-323.

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  • 收稿日期:2014-06-03
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  • 在线发布日期: 2014-11-10
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