Advanced Analytical Dynamics

Advanced Analytical Dynamics

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

Author(s): Ji-Hwan Kim

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