PSI - Issue 72

Emre Kara / Procedia Structural Integrity 72 (2025) 77–84

81

Fig. 3. Correlation matrices between the parameters for: (a) 50 Hz, (b) 70 Hz, (c) 90 Hz, (d) 110 Hz, (e) 130 Hz.

From Figure 3, at all frequencies, d 0 (P1) correlates the highest value of 1 with S (P16). Many correlations can be illustrated using various examples from Figure 3. However, relying solely on the correlation matrix is insufficient. It is necessary to also search for sensitivities, determination matrices, and correlation scatters to identify the output parameters that have the strongest relationship with each input parameter (d 0 , h 0 , d c , and h c ).

Table 2. Parameter numbering given in Figure 3 versus the output parameter expression. Output parameter numbering Parameter expression (unit) Parameter name

P5 P6 P7 P8 P9

β 0 V 0 (m/s) Re St T (N) V p (m/s) L 0 (m) L

Orifice utilization factor Characteristic velocity Reynolds number Strouhal number Thrust Peak velocity Full stroke length Dimensionless stroke length

P10 P11 P12