Classical Mechanics Dynamics / [electronic resource] :
by Jan Awrejcewicz.
- XIV, 465 p. 127 illus. in color. online resource.
- Advances in Mechanics and Mathematics, 29 1571-8689 ; .
Preface -- 1. Particle Dynamics, Material System Dynamics and Rigid Body Motion About a Point -- 2. Mathematical and Physical Pendulum -- 3. Statics and Dynamics in Generalized Coordinates -- 4. Classical Equations of Dynamics -- 5. Theory of Impact -- 6. Vibrations of Mechanical Systems -- 7. Elements of Dynamics of Planets -- 8. Dynamics of Systems of Variable Mass -- 9. Body and Multibody Dynamics -- 10. Stationary Motions of a Rigid Body and their Stability. -11. Geometric Dynamics.
This is the second volume of three books, by the same author, devoted to classical mechanics. In this book, Classical Mechanics: Dynamics, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts by comparison to standard text books and monographs. Aside from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and instructors, from the fields of mechanical and civil engineering, this volume, which includes a wealth of worked examples and applications, is also intended to be used as a self-contained reference for researchers in applied mathematics and physical sciences. Chapter 1 covers dynamics of a particle and systems of particles, as well as rigid body motion about a point. Mathematical and physical pendulums are discussed in Chapter 2, and Chapter 3 presents static and dynamic problems of discrete mechanical systems. Classical equations of mechanics are studied in Chapter 4, and Chapter 5 introduces and illustrates classical impact theory. Chapter 6 deals with the vibrations of mechanical systems, and Chapter 7 briefly studies the dynamics of planets. Dynamics of variable mass systems are presented in Chapter 8, and body and multibody dynamics are studied in Chapter 9. A geometric approach to dynamical problems is the focus of Chapter 10, and Chapter 11 ends the text with geometric dynamics.