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5 Case Study of Verification Specification: Robotics  269




                   Table 11.1 Verification Specification Lists for Robot A

                            Specification                 Sample
                   Category    Name         Description    Size     Criteria  Remark
                     UP1    Navigation test  Normal condition  5  Max-
                                         specified, moving        Min<10 mm
                                         distance accuracy
                     SP1    High         60°/80% RH, 72 h   2     Works well
                            temperature/
                            humidity test
                     RM1    Lightning test  10 kV-100 ms—3  2     Reset OK
                                         times
                     RQ1    Driving module  Current 4A (normal  13  All works well  B2 life
                            life test    2A)—40°, 1375 h                      5 years


                     UPs can be reviewed by development engineers, while SPs should be reviewed
                  mainly by service and maintenance engineers; RMs are checked by reliability engi-
                  neers who fully understand extraordinary states, and RQs should be reviewed by reli-
                  ability engineers who especially understand parametric ALT.
                     Each specification must confirm the required functions under environmental and
                  operational conditions, and list test conditions, test equipment with fixtures, test items,
                  sample size, and criteria for test results. There are plenty of reference materials and
                  specialists for configuring specifications regarding UP, SP, and RM. However, for
                  RQ, there are few specialists and even fewer references to consult. Still, though it
                  would seem almost impossible, it is not difficult to establish the specifications for RQ.
                     For an example, we will calculate a robot case. The robot incorporates one driv-
                  ing module using a direct current motor and gear train, for which the failure mech-
                  anism would be degradation of the motor wire and gear wear. Its lifetime is
                  expected to continue over 5 years and its cumulative failure rate should be below
                  12% for up to 5 years. Assume that three-quarters of the failure rate (9%) is allo-
                  cated to failures of other modules in the robot and that the remaining one-quarter
                  (3%) pertains to the driving module, using the so-called part-count method. One-
                  third of that (1%) is related to overstress failureof thedrivemoduleand theremain-
                  ing failures (2%) are due to wear-out failure influencing the lifetime. Therefore, the
                  lifetime target of the driving module will be expressed as B2 life 5 years—the
                  cumulative failure rate, 2%, until 5 years. Assume that daily operation time is
                  3 h, which means 5500 h of operation in 5 years. The B2 life 5 years becomes
                  B2 life 5500 h.
                     In order to reduce the testing time, the test load must be increased to flow the
                  motor current by, say, a 100% more than usual, and the ambient temperature of
                  the motor must also be elevated to, say, 10 °C higher than normal. This configuration
                  accelerates the test speed by 8.0 times: current AF 4.0 power law and the temperature
                  AF of 2. Thus, testing duration would be reduced to one-eighth or about 1 month
                  (5500 h/8.0, 687.5 h).
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