ABSTRACT
This chapter serves as a text for a course using dual-number methods as well as a manual for the reader to develop his or her abilities for the design of machinery or evaluation of mechanical systems. A comparison of the expression for dual acceleration with that for dual velocity will show the difference. Accelerations at different points on a rigid body cannot be obtained by application of the equation of transformation. Typically, dynamic analysis is based on accelerations, but because dual acceleration is not a dual vector. The concepts of center of mass and radii of gyration can often be used to simplify the inertia matrices. The dual Euler equation can be used to analyze the dynamic behavior of mechanisms. An analysis of the planar four-bar mechanism is conducted to obtain the absolute velocities of the three moving links in terms of the frames on their distal ends.
