Dynamics of Mechanical Systems
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.
- Covers Lagrangian dynamics, a powerful approach that simplifies dynamic analysis but is typically not covered at the undergraduate level
- Full of detailed and informative illustrations, it focuses on deriving and understanding the equations of motion for realistic mechanical systems
- Readers will learn how to use equations of motion in a variety of practical applications, ranging from simulation and design to motion planning and control
Reviews & endorsements
'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
Product details
October 2025Hardback
9781009609333
235 pages
244 × 170 mm
Not yet published - available from October 2025
Table of Contents
- 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.