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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
NA Pages
This note explains the following topics: Mechanisms, Gruebler’s equation, inversion of mechanism, Kinematics analysis, Inertia force in reciprocating parts, Friction clutches, Brakes and Dynamometers, Gear trains.
Author(s): Debasish Tripathy
70 Pages
Dynamics by Dr Nopdanai Ajavakom
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.
Author(s): Dr Nopdanai Ajavakom
NA Pages
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.
Author(s): James Sparks
95 Pages
Classical Dynamics Introduction
This set of lecture notes is an attempt to convey the excitement of classical dynamics from a contemporary point of view. Topics covered includes: Dynamical Systems, Newtonian System, Variational Principle and Lagrange equations, The Hamiltonian Formulation, Hamilton-Jacobi Theory, Non-linear Maps and Chaos.
Author(s): Chennai Mathematical Institute
123 Pages
This note covers the following topics: Circle Diffeomorphisms, The Combinatorics of Endomorphisms, Structural Stability and Hyperbolicity, Structure of Smooth Maps, Ergodic Properties and Invariant Measures, Renormalization.
Author(s): Welington de Melo and Sebastian van Strien
594 Pages
This note the explains the following topics: Newton’s Laws of Motion, One-Dimensional Motion, Multi-Dimensional Motion, Planetary Motion, Two-Body Dynamics, Rotating Reference Frames, Rigid Body Rotation, Lagrangian Dynamics, Hamiltonian Dynamics, Coupled Oscillations, Gravitational Potential Theory, Lunar Motion and The Chaotic Pendulum.
Author(s): Richard Fitzpatrick
300 Pages
Lectures on Dynamics and Relativity
This is an introductory course on Newtonian mechanics and special relativity given to first year undergraduates. The notes were last updated in April 2012. Individual chapters and problem sheets are available on the link below. The full set of lecture notes come in around 145 pages and can be downloaded here. This covers the following topics: Newtonian Mechanics, Forces, Interlude, Dimensional Analysis, Systems of Particles, Central Forces, Rigid Bodies, Non-Inertial Frames and Special Relativity.The lecture notes can be downloaded in both PDF and PS formats
Author(s): David Tong, Cambridge University
NA Pages
This book covers the following topics: What Is Geometry, The Fitzgerald Contraction, Relativity, The World Of Four Dimensions, Fields Of Force, Kinds Of Space, The New Law Of Gravitation And The Old Law, Momentum And Energy, Electricity And Gravitation.
Author(s): A. S. Eddington
219 Pages
Applied Nonlinear Dynamics Lecture Notes
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
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Dynamical Theories of Brownian Motion [PDF 120p]
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Author(s): NA
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Geometrical theory of dynamical systems
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Dynamical Systems and Fractals Lecture Notes
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Author(s): NA
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