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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

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

Dynamics by Prof. George Haller

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

NA 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

Dynamics Notes

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

NA Pages

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Lecture Notes Mechanical Vibration and Structural Dynamics

Lecture Notes Mechanical Vibration and Structural Dynamics

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