Kinematics of General Spatial Mechanical Systems

M. Kemal Ozgoren

• Publisher: Wiley
• Year: 2020
• Print ISBN: 9781119195733
• eBook ISBN: 9781119195764
• Edition: 1
• Topic: Mathématiques
• Subtopic: Analyse mathématique

Guide to kinematic theory for the analysis of spatial mechanisms and manipulators

Kinematics of General Spatial Mechanical Systems is an effective and proficient guide to the kinematic description and analysis of the spatial mechanical systems such as serial manipulators, parallel manipulators and spatial mechanisms. The author highlights the analytical and semi-analytical methods for solving the relevant equations and considers four main elements: The mathematics of spatial kinematics with the necessary theorems, formulas and methods; The kinematic description of the links and joints including the rolling contact joints; Writing the kinematic chain and loop equations for the systems to be analyzed; and Solving these equations for the unspecified variables both in the forward and inverse senses together with the multiplicity and singularity analyses.

Comprehensive in scope, the book covers topics ranging from rather elementary subjects such as spatial mechanisms with single degree of freedom to more advanced topics such as serial manipulators including redundant and deficient ones, parallel manipulators, and non-holonomic spatial cam mechanisms that involve rolling without slipping motions. The author presents an effective and accessible symbolic manipulation method making it possible to obtain neat and transparent expressions that describe the systems showing all the kinematic details. Such expressions readily lead to analytical or semi-analytical solutions. They also facilitate the identification and analysis of the multiplicities and singularities.

This all-time beneficial book:

• Provides an easy-to-use systematic formulation method that is applicable to all sorts of spatial machanisms and manipulators
• Introduces a symbolic manipulation method, which is effective and straightforward to use, so that kinematic relationships can be simplified by using all the special geometric features of the system
• Offers an accessible format that uses a systematic and easy-to-conceive notation which has proven successful
• Presents content written by an author who is a renowned expert in the field
• Includes an accompanying website

Written for academicians, students, engineers, computer scientists and any other people working in the area of spatial mechanisms and manipulators, Kinematics of General Spatial Mechanical Systems provides a clear notation, formulation, and a logical approach to the topic and offers a fresh presentation of challenging material.

Table of contents

• Cover
• Table of Contents
• Preface
• Acknowledgments
• List of Commonly Used Symbols, Abbreviations, and Acronyms
• About the Companion Website
• 1 Vectors and Their Matrix Representations in Selected Reference Frames
• 2 Rotation of Vectors and Rotation Matrices
• 3 Matrix Representations of Vectors in Different Reference Frames and the Component Transformation Matrices
• 4 Vector Differentiation Accompanied by Velocity and Acceleration Expressions
• 5 Kinematics of Rigid Body Systems
• 6 Joints and Their Kinematic Characteristics
• 7 Kinematic Features of Serial Manipulators
• 8 Position and Motion Analyses of Generic Serial Manipulators
• 9 Kinematic Analyses of Typical Serial Manipulators
• 10 Position and Velocity Analyses of Parallel Manipulators
• Bibliography
• Index
• End User License Agreement