PSI - Issue 57

Karthik Krishnasamy et al. / Procedia Structural Integrity 57 (2024) 793–798 Karthik KRISHNASAMY/ Structural Integrity Procedia 00 (2019) 000 – 000

797

5

10 = B (1−

) . √ ⁡(1− ( )) (0.9) ⁡ +

(4)

Now the reliability R(n c ) from equation-1 can be calculated over the time and the equation-4 used now to calculate the achievable life (B). 4. System reliability The overall reliability of the complete system is the primary concern in reducer development. Project team members who are not technical specialists are concerned about the complete reducer reliability and they are not interested about a particular component in the reducer. The major benefit of using this technique of validating the design is relatively quickly and simple. Using Boolean theory with serial structure, the system reliability is predicted. Although this technique seems to be complicated, it is quite straight forward

Fig-3: Serial structures of reliability schematic diagrams.

The calculation of the system reliability for a serial system is the product of all individual component reliability. It is represented in the equation-5. ( ) = 1 ( ). 2 ( ). 3 ( )… ( ) (5) In addition to system reliability curve, the individual component curve are displayed to find the weakest element in the reducer. With a definite reliability of each component (R c (n c ) < 1), a value results for the system reliability that is less that the reliability of the weakest element.

Fig-4: Gear model in reducer for a High-end application.