利用Mathematica计算和ADAMS(Automatic Dynamic Analysis of Mechanical Systems
机械系统动力学自动分析)仿真验证了该动力学模型的正确性和有效性
为进一步研究机构的动态特性及系统运动控制提供理论指导.
Abstract
A three-degree-of-freedom (2R1T
R denotes rotation
T denotes translation) spheroid parallel mechanism that can be applied in the field of electronic assembly is proposed. The mechanism is composed of two equal-radius moving platform and base which are connected by three identical RSR (R denotes rotational pair
S denotes spherical pair) branches. The moving platform and the base are always symmetrical about a middle plane during the movement
and the moving platform can rotate around any lines within the plane of symmetry and translate along the center line of the two platforms. Based on the special geometric symmetry of the mechanism
its equivalent kinematics model was established. Then the dynamic model of the mechanism was established by using the Lagrange method. Through specific motion examples
the dynamics were validated using Mathematica calculations and ADAMS (Automatic Dynamic Analysis of Mechanical Systems) simulations. The correctness and validity of the learning model provide theoretical guidance for further research on the dynamic characteristics of the mechanism and system motion control.
关键词
Keywords
references
WU K, YU J J, ZONG G H, et al . A family of rotational parallel manipulators with equal-diameter spherical pure rotation [J ] . Journal of Mechanisms Robotics, 2014, 6(1): 1-10.
YU J J, DONG X, PEI X, et al . Mobility and singularity analysis of a class of 2-DOF rotational parallel mechanisms using a visual graphic approach [J ] . American Society of Mechanical Engineers (ASME), 2011, 4(4): 1027-1036.
DONG X, YU J J, CHEN B, et al . Geometric approach for kinematic analysis of a class of 2-DOF rotational parallel manipulators [J ] . Chinese Journal of Mechanical Engineering, 2012, 25(2): 241-247.
CHEN B, YU J J, ZONG G H, et al . Kinematic analysis of a class of 2-dof n-4r parallel pointing mechanism [J ] . Journal of Mechanical Engineering, 2014, 50(15): 19-27.
WU Y Q, LI Z X, SHI J B. Geometric properties of zero-torsion parallel kinematics machines [J]. 2010, 6219(1): 2307-2312.
ZHANG G Y, LIAO Y J, LIANG F, et al . A spheroid parallel wrist mechanism and its kinematic analysis [J ] . Robot, 2017, 39(2): 167-175.
DUAN Z X, YU J J, QU Y F, et al. Type synthesis and axodes analysis of a class of special 2R1T parallel mechanisms[C]//14th International Federation for the Promotion of Mechanism and Machine Science World Congress.[S.l.]: National Taiwan University, 2015: 299-304.
TSAI L W. Robot analysis and design: the mechanics of serial and parallel manipulators[M]. US: John Wiley Sons, Inc., 1999, 424-455.
CHEN H L, LIANG H B, HUO Y H. Modeling four-stage inverted pendulum system based on lagrange equation [J]. Journal of Guangdong University of Technology, 2004, 21(2): 59-63.
CARP-CIOCARDIA D C. Dynamic analysis of clavel's delta parallel robot[C]// 2003 IEEE International Conference on Robotics and Automation, Institute of Electrical and Electronics Engineers Inc. [S.l.]: IEEE, 2003: 4116-4121.
SHIAU T N, TSAI Y J, TSAI M S. Nonlinear dynamic analysis of a parallel mechanism with consideration of joint effects [J]. Mechanism Machine Theory, 2008, 43(4): 491-505.
CHEN B, ZONG G H, YU J J, et al . Dynamic modeling and analysis of 2-DOF quasi-sphere parallel platform [J ] . Journal of Mechanical Engineering, 2013, 49(13): 24-31.
QIU Z C. Current situation of research on parallel robots [J]. Machinery, 2000, 38(428): 27-29.
ZHANG G Y. Impact simulation analysis of a spheroid parallel wrist mechanism based on ADAMS [J]. Machinery Design Manufacture, 2017(13): 217-220.
LU Z H, SUN Z Y, LI X Y, et al . Research on high precision measurement of centroid [J ] . Acta Armamentarii, 2009, 30(12): 1748-1752.