MANU 1175 Design for Manufacture

Question 2: Question 2 has three parts A, B and C A vibratory-bowl feeder system is created to align a part that has four different orientations on the track of the bowl. The initial device in the system is a step, which can be described by the following matrix to show its effectiveness. The remaining devices are designed to reject orientations b, c, and d. Experiments showed that the four possible feeding orientations for the part, have the following % probabilities: a: 27% b: 35% c: 35% d: 3% Present the complete orientation system matrix and the initial part distribution matrix. Determine the feed rate of oriented parts if the input rate to the system is 2.5/sec. By multiplying the initial part distribution matrix by the complete orientation system matrix, the feed rate of oriented parts can be calculated. After passing through the entire system, the resulting vector represents the probabilities for each orientation. The orientation with the highest probability will be fed, so multiply the input rate (2.5 parts per second) by the highest probability to find the feed rate. Thus, 1.6 items/minute, or 0.65 * 2.50, is the output rate of oriented parts. Estimate the effect on this performance if a further identical step is added to the beginning of the system. In case a duplicate step is added to the beginning of the system, the matrix representing the orientation system will be the product of the matrix for the new step and the matrix for the existing orientation system. The initial distribution of parts will remain the same. The feed rate of oriented parts can then be determined by multiplying the initial part distribution matrix by the new orientation system matrix. After going through the entire system, the resulting vector represents the probabilities for each orientation. The addition of another step in the system will probably decrease the rate at which oriented parts are fed due to more rejections. The impact on efficiency can only be determined by completing the computation. Question 3: Question 3 is in three parts A, B and C Analysis of Vibratory Feeder. The track is considered to move bodily with simple harmonic motion along a straight path: Maximum inertia force acting on a part in vibratory feeding when the track is at its upper limit for motion. Forward sliding is shown. Assuming that the motion of the part is independent of its shape and that air resistance is negligible and that the part does not roll down the track, show that for backward sliding to occur during the vibration cycle: Include in your answer your own diagram, drawn for backward sliding and all your working out. The image depicts a vibrating feeder analysis in which the track is assumed to move steadily with simple harmonic motion along a straight path. Therefore, we need to demonstrate that