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Problem statement: This study was made to increase productivity of separating process in many industries, to achieve the required aim, understanding the relationship between designed arithmetic methods on two and three coordinate planes to choose the parameters of the separating machine and computing additional factors including characteristics of materials and type of screen. Approach: The design of these types of separating machines did not include the addressed factors during the design; the study of these new factors will provide better understanding of the process and increase the abilities for improvement. Study made to define the right parameters of the operating surface, amplitude and vibration frequency that provide necessary productivity, efficient parameters of material. Results: The improvement included the machine design which consisted of screen; the screen design includes size, angle of inclination and taking into consideration the effect of the vibration trajectory. After applying primary data and the standard computation, the dynamic parameters are set and then the geometric parameters. According to the mathematical computation the design was made and then the verifying of the elements of speed of material motion. These mathematical equations can solve the problem of low productivity and high power consumption if implemented correctly and taking into consideration the dynamic and geometric elements of each case. Conclusion: The results of this study can be implemented in many fields of the industry where separation machine were used, the application of the mathematical relations can improve the revenue by increasing productivity and lowering power consumption for industry. For further study, the effect of wavy surface on the movement of particles will be advised.

iosr journal of mechanical and civil engineering

A comparison of two theoretical methods of the materials transportation in the vibrating screen machines and improve the significance of their experimental results