Real-time solutions to the forward kinematics of a 2RSS + RRR parallel mechanism

  • Hongdong Zhang
  • , Yuru Zhang*
  • , Dangxiao Wang
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we propose a new parallel mechanism designed for haptic interface. The haptic device consists of a 2RSS + RRR parallel mechanism with 3 degrees of freedom. In general, the control of haptic devices requires a high servo rate up to 1 kHz which demands a fast and real-time solution to the forward kinematics. Newton–Raphson method is one of the most efficient solutions to achieve real time requirement. However, its efficiency relies deeply on initial value of iterations. We present a methodology to overcome this limitation. We first model the forward kinematics of 2RSS + RRR as an 8th-degree polynomial equation in one unknown. We then propose two methods for determining the initial value to reduce the iterations and computing time. The numerical examples in the paper demonstrate that average time of 0.15 ms (6.7 kHz) for the solutions is achieved with an accuracy of 0.001 mm. The methodology proposed in this paper is general and can be applied to other applications requiring real time solutions to forward kinematics of parallel mechanisms.

Original languageEnglish
Title of host publicationMechanism and Machine Science - Proceedings of ASIAN MMS 2016 and CCMMS 2016
EditorsXianmin Zhang, Yanjiang Huang, Nianfeng Wang
PublisherSpringer Verlag
Pages995-1008
Number of pages14
ISBN (Print)9789811028748
DOIs
StatePublished - 2017
Event4th IFToMM Asian Conference on Mechanism and Machine Science, ASIAN MMS 2016 and International Conference on Mechanism and Machine Science of China, CCMMS 2016 - Guangzhou, China
Duration: 15 Dec 201617 Dec 2016

Publication series

NameLecture Notes in Electrical Engineering
Volume408
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference4th IFToMM Asian Conference on Mechanism and Machine Science, ASIAN MMS 2016 and International Conference on Mechanism and Machine Science of China, CCMMS 2016
Country/TerritoryChina
CityGuangzhou
Period15/12/1617/12/16

Keywords

  • Forward kinematics
  • Newton-Raphson
  • Parallel mechanism
  • Real-time

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