Application of graphical operation method to the dynamics and relative-motion problems

摘要

In analyzing the dynamics and relative-motion problems, we usually need the “equations of motion” and some mathematical operations such as calculus, inner or cross product, etc. It will be a troublesome work for us to do the operation of algebra. For example, we must analyze carefully each component of the equations of motion about x,y,z axes in detail. This paper presents some simple graphical operation rules to overcome this imperfection. By means of graphical operation, we could exactly simplify necessary algebraic operations to get the simplified equations and obtain the equations of motion in compact forms. Two examples are included to illustrate this method.