{"title":"Type synthesis of a class of parallel RCM manipulators based on concentric spherical surfaces geometric model","authors":"Luquan Li , Chunxu Tian , Zhihao Xia , Dan Zhang","doi":"10.1016/j.mechmachtheory.2025.106011","DOIUrl":null,"url":null,"abstract":"<div><div>Leveraging the intuitiveness of a geometric model to describe motion, this study proposed a design method for a novel class of spatial parallel manipulators with remote center of motion (RCM) based on a concentric spherical surfaces geometric model. First, the topological structures of the parallel RCM manipulator are constructed by integrating the characteristics of the single-loop closed chain (SLCC), multi-degree of freedom (DOF) drive unit (DU), and RCM motion. Subsequently, a geometric model based on concentric spherical surfaces is developed to reveal the principle of generating RCM motion. Building on the concentric spherical geometric model, the general topological arrangements of the parallel RCM manipulators are proposed, while the key constraint conditions are determined. Then, a class of parallel RCM manipulators is systematically synthesized based on the Lie group. Based on the structural characteristics of this class of parallel RCM manipulators, a generalized assembly error model is built to analyze the impact of assembly errors on mechanism accuracy. Finally, the application and analysis of a parallel RCM manipulator are discussed.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"209 ","pages":"Article 106011"},"PeriodicalIF":4.5000,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanism and Machine Theory","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0094114X25001004","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Leveraging the intuitiveness of a geometric model to describe motion, this study proposed a design method for a novel class of spatial parallel manipulators with remote center of motion (RCM) based on a concentric spherical surfaces geometric model. First, the topological structures of the parallel RCM manipulator are constructed by integrating the characteristics of the single-loop closed chain (SLCC), multi-degree of freedom (DOF) drive unit (DU), and RCM motion. Subsequently, a geometric model based on concentric spherical surfaces is developed to reveal the principle of generating RCM motion. Building on the concentric spherical geometric model, the general topological arrangements of the parallel RCM manipulators are proposed, while the key constraint conditions are determined. Then, a class of parallel RCM manipulators is systematically synthesized based on the Lie group. Based on the structural characteristics of this class of parallel RCM manipulators, a generalized assembly error model is built to analyze the impact of assembly errors on mechanism accuracy. Finally, the application and analysis of a parallel RCM manipulator are discussed.
期刊介绍:
Mechanism and Machine Theory provides a medium of communication between engineers and scientists engaged in research and development within the fields of knowledge embraced by IFToMM, the International Federation for the Promotion of Mechanism and Machine Science, therefore affiliated with IFToMM as its official research journal.
The main topics are:
Design Theory and Methodology;
Haptics and Human-Machine-Interfaces;
Robotics, Mechatronics and Micro-Machines;
Mechanisms, Mechanical Transmissions and Machines;
Kinematics, Dynamics, and Control of Mechanical Systems;
Applications to Bioengineering and Molecular Chemistry