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
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
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: Toothed Gears, Gyroscope, Cams, Governors, Balancing, Dynamics Of Machine, Vibration.
Author(s): Prof. Mihir Kumar Sutar
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
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
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
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
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
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
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
This note provides a broad introduction to Newtonian dynamics of particles and rigid bodies with applications to engineering design. Topics covered includes: kinematics and dynamics of particles and rigid bodies, conservation laws, vibrations of single degree of freedom systems, and use of MATLAB to solve equations of motion and optimize engineering designs.
Author(s): Allan Bower, Jimmy Xu
This note covers the following topics:Dynamics of a Single Particle, Kinematics of a Single Particle, Kinetics of a Single Particle, Lagrange’s Equations of Motion for a Single Particle, Dynamics of a System of Particles, Dynamics of Systems of Particles, Kinematics and Dynamics of a Single Rigid Body, Constraints on and Potentials for Rigid Bodies, Kinetics of a Rigid Body, Lagrange’s Equations of Motion for a Single Rigid Body.
Author(s): Oliver M. OReilly
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
This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies, steady motions and small deviations therefrom, gyroscopic effects, and causes of instability, free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane, nonholonomic systems, and an introduction to wave propagation in continuous systems.
Author(s): Prof. George Haller
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
This is a second course in classical mechanics, given to final year undergraduates. They were last updated in July 2012. Individual chapters and problem sheets are available below. The full set of lecture notes, weighing in at around 130 pages, can be downloaded here. This contains the following categories: Newtonian Mechanics, The Lagrangian Formulation, The Motion of Rigid Bodies, The Hamiltonian Formulation. The lecture notes can be downloaded in both PDF and PS formats
Author(s): David Tong, Cambridge University
This note covers the following topics: Projectile Motion, scillations: Mass on a Spring, forced Oscillations, Polar co-ordinates, Simple Pendulum, Motion Under a Central Force, Kepler’s Laws, Polar equations of motion, Differential Equation for the Particle Path, Planetary motion, Momentum, Angular Momentum and Energy, Particle Motion under Gravity on Surface of Revolution with Vertical Axis of Symmetry, Stability and Instability, Rotating Systems, Many particle systems, Rigid body motion, Axisymmetric top.
Author(s): Prof. Sheila Widnall, Prof. John Deyst and Prof. Edward Greitzer
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