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"Uncertainties are an inherent element of the manufacturing and control of mechanisms. Generally, uncertainties are neglected in the analysis and synthesis of mechanisms, as they can be difficult to account for. However, the performance of real mechanisms depends on the uncertainties; thus, there is a need for reliable methods which are able to provide bounds on the true performance of mechanisms. Parallel mechanisms are considered in this work, where the design of a parallel mechanism accounting for uncertainties is termed an appropriate design. Reliable methods, based on interval analysis, are developed to analyze and synthesize appropriately designed parallel mechanisms, fittingly termed appropriate analysis and appropriate synthesis respectively. These appropriate methods are applied to the four-bar linkage and the 3-R̲RR planar parallel mechanism. Appropriate analysis methods compute the associated workspaces of mechanisms with an appropriate design. These workspaces consider the reachability, self-collisions, singularities, and wrench-capabilities of the mechanisms, and are used to guarantee whether the desired task is able to be accomplished by the mechanism. Appropriate synthesis methods are able to completely explore a continuous design parameter space to determine the complete set of appropriate designs of a mechanism which accomplish the desired task. Any design selected from this set is guaranteed to accomplish the desired task. The development of appropriate analysis and appropriate synthesis introduces a powerful new tool to mechanisms designers."--Pages ii-iii.
This book contains mechanism analysis and synthesis. In mechanism analysis, a mobility methodology is first systematically presented. This methodology, based on the author's screw theory, proposed in 1997, of which the generality and validity was only proved recently, is a very complex issue, researched by various scientists over the last 150 years. The principle of kinematic influence coefficient and its latest developments are described. This principle is suitable for kinematic analysis of various 6-DOF and lower-mobility parallel manipulators. The singularities are classified by a new point of view, and progress in position-singularity and orientation-singularity is stated. In addition, the concept of over-determinate input is proposed and a new method of force analysis based on screw theory is presented. In mechanism synthesis, the synthesis for spatial parallel mechanisms is discussed, and the synthesis method of difficult 4-DOF and 5-DOF symmetric mechanisms, which was first put forward by the author in 2002, is introduced in detail. Besides, the three-order screw system and its space distribution of the kinematic screws for infinite possible motions of lower mobility mechanisms are both analyzed.
This book addresses the design of compliant mechanisms, presenting readers with a good understanding of both the solid mechanics of flexible elements and their configuration design, based on a mechanism-equivalent approach in the framework of screw theory. The book begins with the theoretical background of screw theory, and systematically addresses both the compliance characteristics of flexible elements and their configuration design. The book then covers a broad range of compliant parallel mechanism design topics, from stiffness to constraint decomposition, from conceptual design to dimensional design, and from analysis to synthesis, as well as the large deformation problem; this is followed by both simulations and physical experiments, offering readers a solid foundation and useful tools. Given its scope and the results it presents, the book will certainly benefit and inform future research on the topic. It offers a valuable asset for researchers, developers, engineers and graduate students with an interest in compliant mechanisms, robotics and screw theory.
This unique monograph focuses on the systematic type synthesis of parallel mechanisms (PMs), a key issue in the creative design of a wide variety of innovative devices such as parallel manipulators, motion simulators, and haptic devices. Essential reading for researchers, developers, engineers and graduate students with interests in robotics, this book covers the classification of PMs as well as providing a large number of PMs ready to be used in practical applications.
This book addresses the design of compliant mechanisms, presenting readers with a good understanding of both the solid mechanics of flexible elements and their configuration design, based on a mechanism-equivalent approach in the framework of screw theory. The book begins with the theoretical background of screw theory, and systematically addresses both the compliance characteristics of flexible elements and their configuration design. The book then covers a broad range of compliant parallel mechanism design topics, from stiffness to constraint decomposition, from conceptual design to dimensional design, and from analysis to synthesis, as well as the large deformation problem; this is followed by both simulations and physical experiments, offering readers a solid foundation and useful tools. Given its scope and the results it presents, the book will certainly benefit and inform future research on the topic. It offers a valuable asset for researchers, developers, engineers and graduate students with an interest in compliant mechanisms, robotics and screw theory.
This book presents the most recent research advances in the theory, design, and application of robotics and mechanisms. The topics cover Lie group theory based, screw theory based, and set theory based methods in type synthesis, kinematic and static analysis, and design of robotic mechanisms, especially parallel mechanisms. Innovative designs of parallel mechanism are obtained for pick and place applications, nano-manipulation, and surgical robots. The results should interest researchers, teachers, and students, in fields of engineering and mathematics related to robot theory, design, and application.
This book collects the most recent advances in mechanism science and machine theory with application to engineering. It contains selected peer-reviewed papers of the sixth International Conference on Mechanism Science, held in Nantes, France, 20-23 September 2016, covering topics on mechanism design and synthesis, mechanics of robots, mechanism analysis, parallel manipulators, tensegrity mechanisms, cable mechanisms, control issues in mechanical systems, history of mechanisms, mechanisms for biomechanics and surgery and industrial and nonindustrial applications.
After two succesful conferences held in Innsbruck (Prof. Manfred Husty) in 2006 and Cassino in 2008 (Prof Marco Ceccarelli) with the participation of the most important well-known scientists from the European Mechanism Science Community, a further conference was held in Cluj Napoca, Romania, in 2010 (Prof. Doina Pisla) to discuss new developments in the field. This book presents the most recent research advances in Mechanism Science with different applications. Amongst the topics treated are papers on Theoretical kinematics, Computational kinematics, Mechanism design, Mechanical transmissions, Linkages and manipulators, Mechanisms for biomechanics, Micro-mechanisms, Experimental mechanics, Mechanics of robots, Dynamics of multi-body systems, Dynamics of machinery, Control issues of mechanical systems, Novel designs, History of mechanism science etc.
This is the proceedings of ARK 2018, the 16th International Symposium on Advances in Robot Kinematics, that was organized by the Group of Robotics, Automation and Biomechanics (GRAB) from the University of Bologna, Italy. ARK are international symposia of the highest level organized every two years since 1988. ARK provides a forum for researchers working in robot kinematics and stimulates new directions of research by forging links between robot kinematics and other areas.The main topics of the symposium of 2018 were: kinematic analysis of robots, robot modeling and simulation, kinematic design of robots, kinematics in robot control, theories and methods in kinematics, singularity analysis, kinematic problems in parallel robots, redundant robots, cable robots, over-constrained linkages, kinematics in biological systems, humanoid robots and humanoid subsystems.