Dynamics
is the study of motion through phase space. The phase space of a given
dynamical system is described as an N-dimensional manifold, M. The topics
covered in this pdf are: Reference Materials, Dynamical Systems,
Bifurcations, Two-Dimensional Phase Flows, Nonlinear Oscillators,
Hamiltonian Mechanics, Maps, Strange Attractors, and Chaos, Ergodicity and
the Approach to Equilibrium, Front Propagation, Pattern Formation, Solitons,
Shock Waves.

Author(s): Daniel
Arovas, Department of Physics, University of California, San Diego

Topics covered in the
notes include : Introduction and Newton’s Laws , Kinematics, Forces, Energy,
Motion near equilibrium, Damped vibrations, Conservation of momentum,
Angular momentum and central forces, Waves on a string.

The contents of this pdf include : Introduction
to Mechanical Vibrations, Vibration Under Harmonic Forcing Conditions,
Vibration Under General Forcing Conditions, Two and Multi - Dof System,
Continuous Systems.

Author(s): G S D Madhav,
Assistant Professor, Y Shwetha, Assistant Professor, G Ram Vishal,
Assistant Professor, Department of Aeronautical Engineering, Institute
of Aeronautical Engineering

Dynamics
is the study of motion through phase space. The phase space of a given
dynamical system is described as an N-dimensional manifold, M. The topics
covered in this pdf are: Reference Materials, Dynamical Systems,
Bifurcations, Two-Dimensional Phase Flows, Nonlinear Oscillators,
Hamiltonian Mechanics, Maps, Strange Attractors, and Chaos, Ergodicity and
the Approach to Equilibrium, Front Propagation, Pattern Formation, Solitons,
Shock Waves.

Author(s): Daniel
Arovas, Department of Physics, University of California, San Diego

This note explains the following topics: Introduction to the
dynamics and vibrations of lumped-parameter models of mechanical systems,
Work-energy concepts, Kinematics, Force-momentum formulation for systems of
particles and rigid bodies in planar motion, Lagrange's
equations for systems of particles and rigid bodies in planar motion,
Virtual displacements and virtual work, Linearization of equations of
motion, Linear stability analysis of mechanical systems.

Author(s): Prof. Nicholas Hadjiconstantinou, Prof. Peter So, Prof. Sanjay Sarma and Prof.
Thomas Peacock

This note covers the
following topics: Kinematics of Particles, Rectilinear, Curvilinear x-y,
Normal-tangential n-t, Polar r-theta, Relative motion, Force Mass Acceleration,
Work Energy, Impulse Momentum, Kinematics of Rigid Bodies, Rotation, Absolute
Motion, Relative Velocity, Relative Acceleration, Motion Relative to Rotating
Axes, Force Mass Acceleration and Kinetics of Rigid Bodies.

This note describes the following topics: Newtonian
mechanics, Forces and dynamics, Motion in one dimension, Motion in higher
dimensions, Constrained systems, The Kepler problem, Systems of particles,
Rotating frames and rigid bodies.