Technical Books

This note the explains the following topics Newtons Laws of Motion, OneDimensional Motion, MultiDimensional Motion, Planetary Motion, TwoBody Dynamics, Rotating Reference Frames, Rigid Body Rotation, Lagrangian Dynamics, Hamiltonian Dynamics, Coupled Oscillations, Gravitational Potential Theory, Lunar Motion and nbsp The Chaotic Pendulum.

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, ActionAngle Coordinates, HamiltonJacobi Theory.

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.

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 Mechanisms, Grueblers equation, inversion of mechanism, Kinematics analysis, Inertia force in reciprocating parts, Friction clutches, Brakes and Dynamometers, Gear trains.

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.

This note covers the following topics: Toothed Gears, Gyroscope, Cams, Governors, Balancing, Dynamics Of Machine, Vibration.

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.

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.

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.

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.

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.

This note covers the following topics Molecular Mechanisms, Mathematical Models for Linear Viscoelastic Response, The Boltzman Superposition Integral, Viscoelastic Stress Analysis.

This note covers the following topics: Concepts of stress, strain and elasticity, Beams, columns, plates, shells, Elasticity, general theory, Waves, Stress concentrations and fracture, Linear and Angular Momentum Principles, Geometry of Deformation, Stress-Strain Relations, Equations of linear elasticity, mechanical theory, Some elementary two-dimensional solutions and Equations of finite deformation.

This textbook develops the subject of continuum mechanics from the point of view of an applied physicist with interests in geophysics and astrophysics. Topics covered includes The Notion of Stress, Budgets, Fluxes, and the Equations of Motion, Kinematics in Continuum Mechanics, Elastic Bodies, Waves in an Elastic Medium, Statics of Elastic Media, Newtonian Fluids, Creeping Flow and High Reynolds Number Flow.