Baruh, Haim : Rutgers the State University of New Jersy Brunswick Campus
Summary
Analytical Dynamics presents a fair and balanced description of dynamics problems and formulations. From the
classical methods to the newer techniques used in today's complex and multibody environments, this text shows how
those approaches complement each other. The text begins by introducing the reader to the basic concepts in mechanics.
These concepts are introduced at the particle mechanics level. The text then extends these concepts to systems
of particles, rigid bodies (plane motion and 3D), and lightly flexible bodies. The cornerstone variational principles
of mechanics are developed and they are applied to particles, rigid bodies, and deformable bodies. Through this
approach, students are exposed to a natural flow of the concepts used in dynamics. The text emphasizes both the
derivation of the describing equations and the response. The describing equations are developed using force and
moment balances, as well as variational principles. Different approaches of obtaining equations of motion are discussed
and compared. The response is analyzed qualitatively and quantitatively. The nature of the motion is explored by
means of energy and momentum concepts, stability, as well as motion integrals. Small motions around equilibrium
are discussed, together with the response of linearized systems.
Table of Contents
1 Introduction
2 Basic Principles
3 Relative Motion
4 Dynamics of a System of Particles
5 Analytical Mechanics: Basic Concepts
6 Analytical Mechanics: Additional Concepts
7 Rigid-Body Geometry
8 Rigid Body Kinematics
9 Rigid Body Dynamics: Basic Concepts
10 Rigid Body Dynamics: Advanced Concepts
11 Qualitative Analysis of Rigid Body Motion
12 Dynamics of Lightly Flexible Bodies
Appendixes
A A History of Mechanics
B Concepts from the Calculus of Variations
C Common Mass Moments of Inertia
