24 Finite Element Model Updating Accounting for Modeling Uncertainty 219 Table 24.3 Normalized final estimates and coefficient of variation (%) (in parentheses) of the unknown model parameters obtained for the studied cases using parameter-only (N) and dual adaptive filtering (D) approaches Case ID Eest col Etrue col fest y col ftrue y col Rest 0 col Rtrue 0 col best col btrue col Eest beam Etrue beam fest y beam ftrue y beam Rest 0 beam Rtrue 0 beam best beam btrue beam 1 (N) 1.03 (0.06) 1.31 (0.30) 0.42 (0.43) 1.87 (2.62) 1.27 (0.13) 0.98 (0.22) 0.75 (0.12) 0.58 (0.48) 1 (D) 1.10 (0.32) 1.17 (1.60) 0.54 (1.15) 0.55 (8.38) 1.14 (0.41) 0.92 (0.64) 1.07 (1.16) 1.32 (3.01) 2 (N) 0.95 (0.07) 2.18 (1.14) 0.16 (0.09) 1.37 (2.05) 1.06 (0.11) 1.02 (0.18) 0.88 (0.20) 0.49 (0.45) 2 (D) 1.00 (0.08) 0.99 (0.57) 1.02 (1.21) 1.01 (3.91) 1.00 (0.14) 0.99 (0.34) 1.01 (0.52) 1.03 (1.38) 3 (N) 1.11 (0.06) 1.18 (0.19) 0.58 (0.20) 0.10 (0.51) 1.05 (0.11) 0.99 (0.25) 0.82 (0.19) 0.85 (0.67) 3 (D) 1.13 (0.32) 1.02 (1.81) 0.72 (2.14) 1.17 (9.39) 1.01 (0.45) 0.89 (0.59) 1.08 (1.25) 1.17 (2.63) 4 (N) 1.11 (0.07) 0.77 (0.13) 0.92 (0.33) 1.00 (0.74) 1.10 (0.12) 1.02 (0.23) 0.67 (0.11) 0.73 (0.54) 4 (D) 1.15 (0.30) 1.19 (0.75) 0.57 (0.86) 0.31 (3.90) 0.99 (0.37) 0.89 (0.67) 1.09 (1.26) 1.43 (2.94) 5 (N) 1.05 (0.07) 1.11 (0.26) 0.70 (0.37) 0.54 (1.33) 1.02 (0.13) 1.23 (0.17) 0.56 (0.12) 0.10 (0.12) 5 (D) 1.06 (0.19) 1.13 (0.70) 0.63 (0.81) 0.38 (3.02) 1.04 (0.30) 0.95 (0.48) 1.09 (0.96) 1.09 (2.17) 6 (N) 1.03 (0.09) 0.98 (0.20) 0.96 (1.08) 1.44 (2.21) 0.96 (0.14) 1.16 (0.15) 0.56 (0.11) 0.10 (0.12) 6 (D) 1.02 (0.12) 0.95 (0.40) 1.08 (0.98) 1.36 (2.90) 1.00 (0.21) 0.94 (0.31) 1.04 (0.59) 1.18 (1.22) 7 (N) 0.99 (0.06) 1.41 (0.15) 0.54 (1.02) 0.16 (1.15) 1.16 (0.14) 1.11 (0.15) 0.58 (0.07) 0.10 (0.21) 7 (D) 1.06 (0.20) 1.09 (1.00) 0.74 (1.28) 0.59 (6.24) 1.03 (0.33) 0.93 (0.50) 1.04 (0.84) 1.25 (2.10) 8 (N) 0.99 (0.07) 2.34 (2.26) 0.19 (0.21) 0.63 (5.74) 1.11 (0.14) 0.97 (0.23) 0.88 (0.21) 0.78 (0.60) 8 (D) 1.06 (0.19) 1.08 (0.87) 0.65 (0.97) 0.41 (2.03) 1.03 (0.31) 0.94 (0.43) 1.10 (0.92) 1.20 (1.92) 9 (N) 1.06 (0.08) 1.02 (0.32) 0.52 (0.26) 1.34 (2.78) 1.18 (0.15) 1.21 (0.20) 0.56 (0.10) 0.10 (0.21) 9 (D) 1.10 (0.16) 1.08 (0.88) 0.87 (1.22) 0.98 (5.07) 1.09 (0.28) 1.04 (0.47) 0.95 (0.61) 1.04 (1.79) 10 (N) 1.04 (0.11) 1.22 (0.32) 0.27 (0.15) 0.48 (1.16) 1.04 (0.21) 0.86 (0.18) 0.50 (0.10) 0.10 (0.22) 10 (D) 1.02 (0.11) 0.99 (0.40) 1.11 (1.08) 1.30 (2.92) 1.06 (0.21) 1.02 (0.28) 1.01 (0.45) 1.10 (1.13) 11 (N) 1.09 (0.07) 1.09 (0.33) 0.63 (0.27) 0.10 (1.94) 1.18 (0.15) 1.17 (0.30) 0.63 (0.12) 0.41 (0.59) 11 (D) 1.10 (0.21) 1.05 (1.66) 0.79 (1.53) 1.21 (8.16) 1.09 (0.35) 1.01 (0.70) 0.95 (0.83) 1.15 (2.48) 12 (N) 1.17 (0.07) 1.02 (0.26) 0.63 (0.25) 1.22 (1.83) 1.23 (0.18) 0.87 (0.22) 0.32 (0.03) 0.40 (0.32) 12 (D) 1.10 (0.13) 1.21 (1.22) 0.69 (1.35) 0.33 (4.02) 1.40 (0.35) 1.02 (0.44) 1.50 (1.50) 1.53 (1.93) 13 (N) 1.05 (0.07) 1.22 (0.19) 0.36 (0.11) 1.61 (1.59) 2.06 (0.20) 0.99 (0.23) 0.68 (0.11) 0.59 (0.34) 13 (D) 1.13 (0.35) 1.31 (2.27) 0.48 (1.22) 1.09 (13.54) 1.54 (0.77) 0.93 (0.76) 1.36 (2.15) 1.66 (3.62) 14 (N) 1.03 (0.09) 1.19 (0.29) 0.49 (0.30) 0.31 (2.26) 1.06 (0.17) 1.12 (0.18) 0.46 (0.08) 0.10 (0.12) 14 (D) 1.03 (0.18) 1.52 (2.23) 0.34 (1.77) 0.77 (15.30) 1.04 (0.29) 0.71 (0.46) 1.36 (1.72) 1.31 (2.32) 15 (N) 0.97 (0.08) 1.67 (0.54) 0.17 (0.08) 2.22 (2.00) 1.03 (0.12) 0.98 (0.19) 0.99 (0.27) 0.57 (0.56) 15 (D) 1.01 (0.14) 0.95 (0.22) 0.97 (0.82) 1.07 (1.61) 0.97 (0.20) 0.96 (0.24) 1.00 (0.41) 1.22 (0.94) 16 (N) 1.11 (0.11) 0.28 (0.05) 1.62 (0.69) 3.30 (0.69) 0.89 (0.11) 1.36 (0.14) 0.47 (0.05) 0.14 (0.16) 16 (D) 1.00 (0.15) 0.95 (0.62) 1.05 (1.26) 1.20 (3.77) 0.98 (0.24) 0.97 (0.49) 0.97 (0.62) 1.18 (1.65) 17 (N) 0.97 (0.09) 0.68 (0.13) 1.34 (0.70) 1.49 (1.00) 0.98 (0.13) 1.23 (0.20) 0.50 (0.07) 0.10 (0.26) 17 (D) 0.95 (0.22) 0.92 (0.86) 1.25 (2.52) 1.30 (5.70) 0.95 (0.34) 1.00 (0.63) 0.96 (0.83) 0.94 (2.19) 18 (N) 1.14 (0.11) 0.84 (0.14) 0.28 (0.06) 1.44 (0.83) 1.11 (0.13) 1.24 (0.18) 0.52 (0.09) 0.10 (0.11) 18 (D) 1.22 (0.19) 1.30 (0.57) 0.67 (0.79) 0.33 (1.54) 0.95 (0.21) 1.02 (0.42) 0.97 (0.65) 0.82 (1.54) 19 (N) 1.02 (0.07) 1.40 (0.22) 0.35 (0.08) 0.71 (1.22) 1.70 (0.20) 1.03 (0.19) 0.83 (0.14) 0.68 (0.31) 19 (D) 1.07 (0.19) 1.57 (1.88) 0.92 (9.96) 1.04 (15.72) 1.38 (0.46) 0.94 (0.61) 1.27 (1.32) 1.03 (1.94) 20 (N) 1.29 (0.08) 1.53 (0.25) 0.41 (0.07) 0.13 (0.77) 1.51 (0.16) 1.12 (0.24) 0.97 (0.24) 0.96 (0.55) 20 (D) 1.35 (0.31) 1.38 (2.08) 0.66 (2.09) 1.00 (11.01) 1.38 (0.53) 0.87 (0.62) 1.50 (2.74) 1.96 (3.47) 21 (N) 1.03 (0.10) 0.87 (0.12) 0.55 (0.12) 0.34 (0.53) 1.00 (0.13) 1.14 (0.17) 0.74 (0.19) 0.31 (0.26) 21 (D) 1.03 (0.17) 0.95 (0.66) 1.08 (1.72) 1.30 (3.84) 0.97 (0.28) 0.95 (0.59) 0.99 (0.87) 1.19 (2.17) 22 (N) 1.00 (0.12) 0.61 (0.16) 0.21 (0.06) 4.01 (1.04) 1.09 (0.12) 0.91 (0.11) 1.31 (0.60) 0.97 (0.48) 22 (D) 1.03 (0.21) 0.97 (1.00) 0.94 (1.56) 1.07 (5.25) 0.97 (0.32) 0.97 (0.65) 0.96 (0.83) 1.16 (2.48) 23 (N) 0.86 (0.08) 0.87 (0.27) 0.23 (0.10) 3.53 (2.55) 2.04 (0.27) 1.18 (0.17) 0.45 (0.04) 0.12 (0.16) 23 (D) 1.08 (0.17) 1.02 (1.26) 1.33 (2.92) 1.55 (7.96) 1.39 (0.39) 1.08 (0.53) 1.30 (1.19) 1.65 (1.90) 24 (N) 1.01 (0.06) 1.77 (0.23) 0.26 (0.17) 0.28 (2.51) 1.87 (0.23) 0.78 (0.17) 0.60 (0.07) 0.61 (0.29) 24 (D) 1.11 (0.17) 1.11 (1.34) 1.03 (2.17) 1.18 (6.55) 1.36 (0.37) 1.11 (0.43) 1.27 (1.01) 1.54 (1.65) 25 (N) 1.07 (0.10) 1.12 (0.32) 0.53 (0.23) 1.45 (2.17) 1.41 (0.24) 1.51 (0.26) 0.50 (0.09) 0.10 (0.19) 25 (D) 1.09 (0.27) 1.22 (0.84) 0.80 (1.19) 0.53 (3.79) 1.36 (0.47) 1.25 (0.58) 1.09 (0.94) 1.32 (2.41) 26 (N) 1.08 (0.11) 1.18 (0.35) 0.72 (0.67) 1.55 (2.41) 1.37 (0.27) 1.50 (0.28) 0.41 (0.07) 0.10 (0.12) 26 (D) 1.08 (0.36) 1.24 (1.14) 0.43 (0.71) 0.89 (5.53) 1.37 (0.66) 1.26 (0.70) 0.96 (1.06) 1.12 (2.75) 27 (N) 1.04 (0.09) 1.35 (0.28) 0.49 (0.15) 0.20 (1.44) 1.50 (0.23) 1.32 (0.31) 0.67 (0.12) 0.51 (0.59) 27 (D) 1.09 (0.23) 1.16 (0.69) 1.18 (2.37) 1.34 (5.57) 1.33 (0.47) 1.28 (0.60) 0.98 (0.76) 1.15 (1.88) 28 (N) 1.08 (0.10) 1.38 (0.27) 0.46 (0.18) 1.23 (1.76) 1.39 (0.22) 1.57 (0.20) 0.57 (0.11) 0.10 (0.14) 28 (D) 1.12 (0.22) 1.16 (0.91) 1.10 (1.86) 1.17 (4.98) 1.31 (0.44) 1.25 (0.74) 1.02 (0.90) 1.23 (2.24)
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