Continuation of Analytical Dynamics I. Vector and analytical dynamics in three dimensions. Experimental and computational modal analysis and synthesis. Vibrations of machine tools, rolling mills, robots. The design of direct contact mechanisms by classical techniques of rigid body systems and finite differences applied to systems composed of elastic components. Curvature transformation, circle point curves, and Burmester point theory.
Treatment is analytical, with emphasis on the theory of algebraic curves.
Analysis of dynamic stability, critical speeds, and unbalance response of rotor-bearing systems. Special problems encountered in modern application operating through and above the critical speeds. Examples include mathematical description of the elements of mechanisms and robot arms, namely linkages and joints, their mobility and their analysis. Dexterity and workspace of robot arms. Accuracy and rigidity of machine tools.