Multiscale Multibody Dynamics: Motion Formalism Implementation

This book presents a novel theory of multibody dynamics with unified continuum theory, multiscale modeling technology, and motion formalism implementation. It defines a multibody system as a set of flexible and rigid bodies connected by joints or constraints, and describes motion by using dual vectors or dual tensors. It also introduces fundamental concepts of mechanics and discusses the implementation of implicit solvers using RADAU IIA algorithms. The intended readers of this book are senior engineers and graduate students in related engineering fields.

Format: Hardback
Length: 359 pages
Publication date: 25 March 2023
Publisher: Springer Verlag, Singapore

This book presents a novel theory of multibody dynamics with distinct features, including unified continuum theory, multiscale modeling technology of multibody system, and motion formalism implementation. All these features together with the introductions of fundamental concepts of vector, dual vector, tensor, dual tensor, recursive descriptions of joints, and the higher-order implicit solvers formulate the scope of the book's content. In this book, a multibody system is defined as a set consisted of flexible and rigid bodies which are connected by any kinds of joints or constraints to achieve the desired motion. Generally, the motion of multibody system includes the translation and rotation; it is more efficient to describe the motion by using the dual vector or dual tensor directly instead of defining two types of variables, the translation and rotation separately. Furthermore, this book addresses the detail of motion formalism and its finite element implementation of the solid, shell-like, and beam-like structures. It also introduces the fundamental concepts of mechanics, such as the definition of vector, dual vector, tensor, and dual tensor, briefly. Without following the Einstein summation convention, the first- and second-order tensor operations in this book are depicted by linear algebraic operation symbols of row array, column array, and two-dimensional matrix, making these operations easier to understand. In addition, for the integral of governing equations of motion, a set of ordinary differential equations for the finite element-based discrete system, the book discussed the implementation of implicit solvers in detail and introduced the well-developed RADAU IIA algorithms based on post-error estimation to make the contents of the book complete.

The intended readers of this book include researchers and engineers in the field of mechanical engineering, aerospace engineering, civil engineering, and applied mathematics. It provides a comprehensive and up-to-date introduction to multibody dynamics, covering both theoretical and computational aspects. The book is suitable for both undergraduate and graduate students, and it can also be used as a reference for professionals in the field.

Overall, this book is a valuable resource for anyone interested in multibody dynamics and its applications. It offers a comprehensive and accessible approach to the subject, making it an essential tool for anyone working in the field.

Weight: 729g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811984402
Edition number: 1st ed. 2023