【正文】
? find factor settings in which operating or process specifications are satisfied ? identify new operating conditions that would produce the required improvement in product quality ? model a relationship between the control factors and the response 7 Response Surface Functions FirstOrder Model Response surface will be planar. SecondOrder Model Response surface will be curviplanar ??????????? kk22110 XXXY ? ?????????? ? ??? ??? ji jiijk 1i 2iiik 1i ii0 XXXX4 03 51 5 03 9 . 5 X4 0 . 54 1 . 51 5 5Y3 01 6 0X 219 08 51 7 07 6 . 5X 17 7 . 57 8 . 57 9 . 58 0 . 51 7 5Y8 01 8 0X 28 Response Surface Functions RSM seeks to identify the relationship between the response and the control factors. It is a sequential procedure, starting from current operating conditions and moving towards the optimum condition. Points on the response surface that are remote from the optimum condition, such as current operating conditions, often exhibit little curvature. A firstorder model will be appropriate. At the region of the optimum, curvature is often present, and the secondorder model will bee necessary. 9 Example An engineer has determined that two factors – reaction time (X1) and reaction temperature (X2) – have significant effect on the yield (Y) of a process. The process is currently operating with a reaction time of 35 minutes and reaction temperature of 155176。C , resulting in yields of about 40%. The engineer decides to explore the process region of [30,40] minutes and [150,160]176。 where nf is number of runs in factorial portion of CCD ? 24 Central Composite (BoxWilson Design) Factorial Points (8 runs) + Center Points Axial Points (6 + 6 runs) = Central Composite (BoxWilson) Design (20 runs) 25 Central Composite (BoxWilson Design) ? Each of the k factors can be r