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carried out to study three variables at three levels. The number of columns of an array
                  represents the maximum number of parameters that can be studied using that array.
                                                       The plan of experiments comprises 9 tests,
                     Table 2. Process parameter    where  the  second  column  is  assigned  to  the
                        values at three levels     rotational speed, the third column is assigned to
                                                   welding speed and the third column is assigned
                             A,     B,     C,      to  axial  force.  The  factors and  assigned  levels
                     Level
                            rpm   mm/min  kN       are  presented  in  Table  2.  By  conducting  trail
                       1    1200    25     2       experiments the factors values were determined.
                                                   If  rotational  speed  was  lower  than  1200  rpm,
                       2    1400    50     4
                                                   the  weld  nugget  was  observed  and  it  produced
                       3    1600    75     6       insufficient  heat  generation  and  insufficient
                                                   metal transportation. When the rotational speed
                  was  higher  than  1600  rpm,  a  tunnel  defect  was  observed  and  it  caused  turbulence.
                  Similarly, when the welding speed was lower than 25 mm/min, a pinhole type of the
                  defect occurred. For the welding speed higher than 75 mm/min, the insufficient heat
                  was generated thus giving the inadequate flow of the material. When the axial force
                  was lower than 2 kN, a tunnel and crack like defect occurred at the middle of the weld
                  cross  section.  If  the  force  increased  above  8  kN,  large  mass  of  flash  and  excessive
                  thinning were observed due to a higher heat input. The ranges of process parameters
                  selected are presented in Table 2.
                      The  Taguchi  methodology  for  optimization  can  be  divided  into  four  phases:
                  planning, conducting, analysis and validation. Each phase has a separate objective and
                  contributes towards the overall optimization process. The Taguchi method for optimi-
                  zation can be presented as a flowchart, shown in Fig. 3.

























                             Fig. 3. Flowchart representing the Taguchi method for optimization:
                       phase 1 – planning; phase 2 – conducting; phase 3 – analysis; phase 4 – validation.
                      Results  and  discussion.  Quality  of  the  tensile  strength  is  to  be  considered  for
                  investigation in  FSW joints. Taguchi suggests that the response values for each test
                  condition are processed by determining the signal to noise ratios (S/N) for each factor.
                  The S/N ratio (η) is the ratio of signal to noise in terms of power. Another way to look
                  at it is that it represents the ratio of sensitivity to variability. The higher the SNR, the
                  better quality of product is. The idea is to maximize the SNR and thereby minimizing
                  the  effect  of  random  noise  factors  which  has  significant  impact  on  the  process


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