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Introductory Lectures on Fluid Dynamics
This note describes the following topics: Equation of motion, Equations of motion for an inviscid fluid, Bernoulli equation, The vorticity field, Two dimensional flow of a homogeneous, incompressible, inviscid fluid and boundary layers in nonrotating fluids.
Author(s): Roger K Smith
60 Pages
Classical Dynamics by Paul P. Cook and Neil Lambert
This note covers the following topics: Matrices, Coordinate systems, Newton and His Three Laws, Lagrangian Mechanics, Hamiltonian Mechanics.
Author(s): Paul P. Cook and Neil Lambert
113 Pages
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.
Author(s): Wojtek Zakrzewski
54 Pages
Lecture Notes Mechanical Vibration and Structural Dynamics
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
131 Pages
Lecture Notes on Dynamical Systems, Chaos And Fractal Geometry
Topics covered in this notes include: The Orbits of One-Dimensional Maps, Bifurcation and the Logistic Family, Sharkovsky’s Theorem, Metric Spaces, Devaney’s Definition of Chaos, Conjugacy of Dynamical Systems, Singer’s Theorem, Fractals, Newton’s Method, Iteration of Continuous Functions, Linear Transformation and Transformations Induced by Linear Transformations, Some Elementary Complex Dynamics, Examples of Substitutions, Compactness in Metric Spaces and the Metric Properties of Substitutions, Substitution Dynamical Systems, Sturmian Sequences and Irrational Rotations.
Author(s): Geoffrey R. Goodson, Towson University, Mathematics Department
272 Pages
Lecture Notes on Nonlinear Dynamics Daniel Arovas
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
364 Pages
Lectures notes On Machine Dynamics II
This note covers the following topics: Toothed Gears, Gyroscope, Cams, Governors, Balancing, Dynamics Of Machine, Vibration.
Author(s): Prof. Mihir Kumar Sutar
145 Pages
Molecular Dynamics Lecture Notes
Molecular dynamics is a computer simulation technique where the time evolution of a set of interacting particles is followed by integrating their equation of motion. Topics covered includes: Classical mechanics, Statistical averaging, Physical models of the system, The time integration algorithm, Average properties, Static properties, Dynamic properties.
Author(s): Goran Wahnstrom
65 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
This note explains the following topics: Newtonian Mechanics, Newtonian Gravitation, Simple Dynamical Systems, Fixed Points and Limit Cycles, Lagranian Mechanics, Central Force Motion, Scattering from Central Force Potential, Dynamics in Rotating Frames of Reference, Rigid Body Dynamics , Oscillations, Hamiltonian Mechanics, Canonical Transformations, Action-Angle Coordinates, Hamilton-Jacobi Theory.
Author(s): Gerhard Muller
NA 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
Ordinary Differential Equations and Dynamical Systems [PDF]
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
