Kinematics representations of graphical operation methods

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摘要

Whenever we dealing with the kinematics problems, the “equations of motion” including displacement, velocity and acceleration equations are needed. We must do some mathematical operations such as calculus, inner or cross product, etc., to get these equations. It will be a troublesome work for us to do the operation of algebra. This paper presents an interesting mathematical method, graphical operation, 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.

论文关键词:Displacement,Velocity,Acceleration,Equation of motion,Symbolic representation,Graphical operation

论文评审过程:Available online 10 September 2003.

论文官网地址:https://doi.org/10.1016/S0096-3003(03)00805-1