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Sun Gear Vibration Separation -SASP Method This section presents a method that averages out the ef-fect of a single planet and is able to isolate the dynamics associated with the sun gear. The following development is tailored to the planetary systems in this research. In the pre-vious section, it was shown that, when using a single planet gear, there are only three sun teeth simultaneously align. Given a layer of the Assembly Family corresponding to a given planet, every third cycle in the Assembly Family can be associated with one of the three teeth. Since there are 27 TMPs , the following development associates Mv = 9 TMPs to each tooth. The schematic in Figure 22 aids in this development. In Figure 22, there is an Assembly Family for a single accelerometer. Planet P1 for Accelerometer A1 is isolated for the discussion, but the same type of analysis is applied to the others. A look at Table 3 shows that the three teeth are 23 for cycle 1, 14 for cycle 2, and 5 for cycle 3. These vectors are collected into pass groups where: In Figure 22, the cycles associated with Pass 1 are plotted together on the .rst row. The same is true for Pass 2 and Pass 3. The fourth row is a comparison of the averages. The x-axis represents the sun tooth angle, but has been re-placed by Sun Tooth IDs to make the plot more intuitive. Notice that Sun Teeth ID 23, 14, and 5 are centered. Since each row represents the same sun tooth orientation and the points were initially interpolated to ensure angular consis-tency, averaging each row represents a TSA set. |