Dynamics of Mechanical Systems: A Modern Introduction to Three-Dimensional Rigid Body Dynamics

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Frank C. Park (Seoul National University) Kyu Min Park (Sejong University, Seoul)

Dynamics of Mechanical Systems

A Modern Introduction to Three-Dimensional Rigid Body Dynamics

Frank C. Park (Seoul National University), Kyu Min Park (Sejong University, Seoul)

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Hardback

Forthcoming
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English

Cambridge University Press
04 December 2025

Dynamics & statics; Maths for engineers; Mechanical engineering; Robotics

Written by experts in the field, this text provides a modern introduction to three-dimensional dynamics for multibody systems. It covers rotation matrices, the twist-wrench formalism for multibody dynamics and Lagrangian dynamics, an approach that is often overlooked at the undergraduate level. The only prerequisites are differential equations and linear algebra as covered in a first-year engineering mathematics course. The text focuses on obtaining and understanding the equations of motion, featuring a rich set of examples and exercises that are drawn from real-world scenarios. Readers develop a reliable physical intuition that can then be used to apply dynamic analysis software tools, and to develop simplified approximate models. With this foundation, they will be able to confidently use the equations of motion in a variety of applications, ranging from simulation and design to motion planning and control.

By: Frank C. Park (Seoul National University), Kyu Min Park (Sejong University, Seoul)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
ISBN: 9781009609333
ISBN 10: 1009609335
Pages: 236
Publication Date: 04 December 2025
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Forthcoming

1. Introduction; 2. Kinematics; 3. Particle dynamics; 4. Dynamics of a rigid body; 5. Multibody dynamics: a twist–wrench formulation; 6. Lagrangian dynamics; 7. Linearized dynamics; Appendix. Linear algebra and matrix theory basics; Index.

Frank C. Park is Professor of Mechanical Engineering at Seoul National University. He is author (with Kevin Lynch) of the book 'Modern Robotics' (2017) and developer of the EdX course 'Robot Mechanics and Control Parts I-II.' He is a fellow of the IEEE, former editor-in-chief of the 'IEEE Transactions on Robotics, ' and past president of the IEEE Robotics and Automation Society. Kyu Min Park is Assistant Professor with the Department of Artificial Intelligence and Robotics, Sejong University, Seoul, where he teaches courses related to robotics, dynamics, mathematics, artificial intelligence, and programming. He co-authored the book 'Collision Detection for Robot Manipulators: Methods and Algorithms' (2023).

Reviews for Dynamics of Mechanical Systems: A Modern Introduction to Three-Dimensional Rigid Body Dynamics

'Park and Park have produced a compact and wonderfully accessible introductory treatment of the dynamics of mechanical systems, with a focus on providing tools useful for formulating the equations of motion of a broad range of mechanical systems, from simple toy systems to complex articulated multi-body systems.' Kevin Lynch, Northwestern University 'This book fills the gap between highly advanced books on mechanism dynamics and overly simplified textbooks that are often used in undergraduate courses. The book is a concise and nicely written introduction to the Lagrange formalism for 3-dimensional mechanical systems accessible to undergraduate engineering students. It introduces the reader to the geometry and kinematics of rigid bodies and rigid body mechanisms using the compact modern twist-wrench formulation. A central part of the book is the Lagrangian approach to nonlinear dynamics and linearized dynamics. The content is always presented in a way accessible to undergraduate students without compromising rigor of the treatment. The theory is explained via a number of well explained examples. This textbook will be a valuable companion for any engineering student.' Andreas Müller, Johannes Kepler Universität Linz