Analysis and optimization of quantitative casting motion of a casting and pouring robot

According to the specifications of a 20 kg load for the casting barrel, we have crafted a three-dimensional model of the robot and scrutinized the three phases of liquid level variation within the casting barrel throughout the casting procedure. Following our analysis, it has been ascertained that the relationship between time and angle is an implicit function, rendering the discovery of an analytical expression for time in terms of angle unattainable. The dynamics of the casting barrel have been emulated using MATLAB, revealing the presence of critical points in the function plot. Upon fitting the original function with a fifth-degree polynomial interpolation, the resultant fifth-degree polynomial function depicting time against angular acceleration exhibits significant oscillations, particularly at the critical points. To address this, a proportional integral derivative algorithm, predicated on the discretization of time and acceleration functions, has been implemented for rectification. The outcomes demonstrate that this approach effectively diminishes the oscillation amplitude of the function plot and enhances its alignment with the original function.