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Dynamics of Particles and Rigid Bodies: A Self-Learning Approach

By
Mohammed F. Daqaq
Mohammed F. Daqaq
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ISBN:
9781119463207
No. of Pages:
386
Publisher:
ASME Press
Publication date:
2019

Chapters 2–8 focused on a single objective: finding the equations governing the motion of a system consisting of particles and rigid bodies, a process commonly known as mathematical modeling. Nonetheless, while models constitute the fundamental basis upon which everything else is built, the process of fully understanding and controlling the dynamic behavior of a system cannot be fully realized without analyzing its response, a process commonly known as mathematical analysis.

As you may have noticed in the previous chapters, models of particles and rigid bodies in motion are described by one or more non-linear ordinary differential equations. As...

9.1
Basic Definitions
9.2
Equilibrium Solutions of Dynamical Systems
9.3
Stability and Classification of Equilibrium Solutions
9.4
Phase-plane Representation of the Dynamics
9.5
Bifurcation of Equilibrium Solutions
9.6
Basins of Attraction
Exercises
References
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