Aim of this note is to introduce the systematic approach in the analytical
formulation of the governing equations. Topics covered includes: Mechanics, Basic Principles of Mechanics, Kinematics, Conservative
Systems, Systems of Particles, Motion in No-inertial Reference Frames,
Coordinate Transformations, Time Rate of Change of a Unit Vector, Planar motion
of Rigid Bodies, Virtual Work, Holonomic Systems, Kinetic Energy and Generalized
Momenta, Lagrange's Equations of Motion, Conservative Systems, Dissipative
Sytems, Electromechanical Analogies, Extrema of Functions, Necessary Conditions
for an Extremum -Special Cases of the Euler-Lagrange Equation, The Variational
Operator -Generalizations, Several Independent Variables, Kinematics of Rotating
Bodies, Motion Relative to Moving Axes,The Inertia Tensor, Translation Theorem
for Angular Momentum, Equations of Motion for a Rigid Body, Euler's Equations of
Rotating Body Motion
This PDF covers the following topics related to
Dynamics of Machines : Governor, Terminology, Centrifugal governors, Dead weight
governor, Spring controlled governor, Sensitivity, Stability, Hunting,
Isochronism, Effort and power of governor, Gyroscopic Motion, Principles,
Gyroscopic torque, Effect – aeroplanesand automobiles.
Author(s): Dr Vijay K Singh, Madan Mohan Malaviya
University of Technology
Aim of this note is to introduce the systematic approach in the analytical
formulation of the governing equations. Topics covered includes: Mechanics, Basic Principles of Mechanics, Kinematics, Conservative
Systems, Systems of Particles, Motion in No-inertial Reference Frames,
Coordinate Transformations, Time Rate of Change of a Unit Vector, Planar motion
of Rigid Bodies, Virtual Work, Holonomic Systems, Kinetic Energy and Generalized
Momenta, Lagrange's Equations of Motion, Conservative Systems, Dissipative
Sytems, Electromechanical Analogies, Extrema of Functions, Necessary Conditions
for an Extremum -Special Cases of the Euler-Lagrange Equation, The Variational
Operator -Generalizations, Several Independent Variables, Kinematics of Rotating
Bodies, Motion Relative to Moving Axes,The Inertia Tensor, Translation Theorem
for Angular Momentum, Equations of Motion for a Rigid Body, Euler's Equations of
Rotating Body Motion