2 Mathematical Concepts in Kinematics

DOI: 10.1201/9781003316961-2

Concept Overview

In this chapter, the reader will gain a central understanding regarding

  1. Characteristics of vectors, complex vectors, and complex vector forms
  2. The formulation of vector-loop displacement, velocity, and acceleration equations using complex vectors
  3. Characteristics of point-based vectors and their application in mechanism motion equations
  4. Characteristics of linear simultaneous equations and their representation in matrix form
  5. Fundamental matrix operations and the identity matrix
  6. Matrix inversion and its application in solving linear simultaneous equations
  7. Intermediate and total spatial motion and their application in mechanism kinematics
  8. The general transformation ...

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