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,
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
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,
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.
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 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.
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.
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 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
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.