Iwuoha Chigozie Williams

The suction of a Robot Vacuum Cleaner (RVC) is not to be taken slightly, because it determines how well a room will be clean. Researchers over the years have tried to come up with a better way for the RVCs to suck up dust and dirt without losing the pressure for suction, but there have always been rooms for improvement. This study shows another simple and better way to rectifying issues bothering on the suction failure of a RVC. It presents the mathematical modeling of the centrifugal fan’s speed via the DC motor through the equations of moment of inertia, torque and Newtons second law of rotation. The equations where model with certain parameters in MATLAB® SIMULINK® to check if there is a drop in the speed of the centrifugal fan. The velocity of the fan in 10 seconds was 60m/s without any form of retardation. Again the airflow rate which was an ideal way of checking the suction of a RVC was modeled using the same MATLAB® SIMULINK® with the same equation. The graphical result of th...

The suction of a Robot Vacuum Cleaner (RVC) is not to be taken slightly, because it determines how well a room will be clean. Researchers over the years have tried to come up with a better way for the RVCs to suck up dust and dirt without losing the pressure for suction, but there have always been rooms for improvement. This study shows another simple and better way to rectifying issues bothering on the suction failure of a RVC. It presents the mathematical modeling of the centrifugal fan’s speed via the DC motor through the equations of moment of inertia, torque and Newtons second law of rotation. The equations where model with certain parameters in MATLAB® SIMULINK® to check if there is a drop in the speed of the centrifugal fan. The velocity of the fan in 10 seconds was 60m/s without any form of retardation. Again the airflow rate which was an ideal way of checking the suction of a RVC was modeled using the same MATLAB® SIMULINK® with the same equation. The graphical result of the airflow rate in the model showed that the airflow increased to a point where it was constant, indicating a perfect suction without dropping.

This research presents some exceedingly challenging problems in a Robot Vacuum Cleaner (RVC) such as the inefficiency of power or energy supply, which deals with the el ectrical circuit and the problem of it missing some paths or gap while cleaning the room, which is the kinematics of the RVC, they were mathematically modeled. The research work approaches each of the selected problems to be modeled mathematically by first formulating the problem as a mathematical expression in terms of variables, functions and equations. An ODE (Ordinary Differential Equation) was obtained for the electric circuit model and then simulated to obtain a sinusoidal result, while a matrix was a cquired for the kinematics and a graph plotted to see its behavior at seventytwo different angles with intervals of 0:5:360 degrees. The system was simulated using MATLAB to study and understand the behavior of the RVC. At the end of the research firstly, it was concluded from the sinusoidal graph obtained for the model of the electrical circuit, that when the Ordinary Differential Equation (ODL) provided is been applied in test running any RVC electrical circuit, there would not be any problem of power fa ilure or battery discharge. Secondly, it was concluded from observation that the graph gotten for the kinematics at the bases of every 5point interval in 360 degrees beginning with 0, that when the matrix provided is applied in building a robot vacuum cle aner, there would be no missing of some part of the room while executing its duty of cleaning