建議

由於局部動態識別中，需藉相鄰自由度之訊號方能進行識別；但 大多數建築物過於龐大，有限於經濟和人力的考量，現地安裝的感測 計數目遠少於分析模型之自由度，導致量測的資料並非相當齊全。有 鑑於此，未來之局部系統識別的研究重點，須拓展至不完全量測。

相較 MAC 與 COMAC 指標無法準確地找出損壞程度與損壞位 置，本研究之評估方法較具參考價值；唯噪訊比於20%以上，使用預 測誤差判別損壞位置有其困難。故發展一套高除噪效果且能保留大部 分原始訊號特性之降噪工具為不可避免之工作。

目前損傷識別的方法多以無損壞狀態做為參考基準，但通常實際 案例缺乏結構物損壞前的數據；若能以有限元素法精準建構原始未損 傷之模型，或對現有建築物做微振動量測，以獲得結構物之動態特性 並建立資料庫，日後當結構物受強震危害時即可做為損傷診斷之參考 基準。

表

2.1 第 n-1 子結構之系統參數

表

2.2 第二子結構之系統參數

表

3.1 結構損傷案例

No. of

damage case Description of damage case 1 Reduce 5% of

k

₁ at the first storey 2 Reduce 10% of

k

₁ at the first storey 3 Reduce 20% of

k

₁ at the first storey 4 Reduce 5% of

k

₄ at the fourth storey 5 Reduce 10% of

k

₄ at the fourth storey 6 Reduce 20% of

k

₄ at the fourth storey

7 Reduce 10% of

k

₁ at the first storey & 10% of

k

₄ at the fourth storey 8 Reduce 20% of

k

₁ at the first storey & 20% of

k

₄ at the fourth storey

表

3.2 六層樓剪力建築之系統動態特性之識別結果

Mode

No. of damage case modal parameters

1 2 3 4 5 6

1

f

n(Hz) 0.761 2.24 3.60 4.75 5.63 6.18

( k1-5%)

ξ(%)

5.47 2.48 2.24 2.33 2.48 2.59

2

f

n(Hz) 0.755 2.23 3.58 4.73 5.62 6.18

( k1-10%)

ξ(%)

5.51 2.49 2.24 2.33 2.47 2.58

3

f

n(Hz) 0.740 2.19 3.54 4.70 5.60 6.17

( k1-20%)

ξ(%)

5.61 2.51 2.24 2.32 2.47 2.58

4

f

n(Hz) 0.765 2.25 3.61 4.73 5.63 6.14

( k4-5%)

ξ(%)

5.44 2.48 2.24 2.33 2.48 2.58

5

f

n(Hz) 0.762 2.23 3.60 4.70 5.63 6.09

(k4-10%)

ξ(%)

5.46 2.48 2.24 2.32 2.48 2.57

6

f

n(Hz) 0.755 2.20 3.59 4.62 5.62 6.01

(k4-20%)

ξ(%)

5.51 2.50 2.24 2.31 2.47 2.55

7

f

n(Hz) 0.749 2.20 3.57 4.66 5.61 6.09

(k1& k4 -10%)

ξ(%)

5.55 2.50 2.24 2.32 2.47 2.57

8

f

n(Hz) 0.743 2.17 3.55 4.58 5.61 6.00

(k1-10%& k4-20%)

ξ(%)

5.59 2.52 2.24 2.31 2.47 2.55

f

n(Hz) 0.767 2.26 3.62 4.77 5.64 6.18 Intact

ξ(%)

5.43 2.47 2.24 2.33 2.48 2.59

表

3.3 六層樓剪力建築之系統動態特性之理論值

Mode

No. of damage case modal

parameters 1 2 3 4 5 6

1

f

n(Hz) 0.761 2.24 3.60 4.75 5.63 6.18 ( k1-5%)

ξ(%)

5.47 2.48 2.24 2.33 2.48 2.59 2

f

n(Hz) 0.755 2.23 3.58 4.73 5.62 6.18 ( k1-10%)

ξ(%)

5.51 2.49 2.24 2.33 2.47 2.58 3

f

n(Hz) 0.740 2.19 3.54 4.70 5.60 6.17 ( k1-20%)

ξ(%)

5.61 2.51 2.24 2.32 2.47 2.58 4

f

n(Hz) 0.765 2.25 3.61 4.73 5.63 6.14 ( k4-5%)

ξ(%)

5.44 2.48 2.24 2.33 2.48 2.58 5

f

n(Hz) 0.762 2.23 3.60 4.70 5.63 6.09 (k4-10%)

ξ(%)

5.46 2.48 2.24 2.32 2.48 2.57 6

f

n(Hz) 0.755 2.20 3.59 4.62 5.62 6.01 (k4-20%)

ξ(%)

5.51 2.50 2.24 2.31 2.47 2.55 7

f

n(Hz) 0.749 2.20 3.57 4.66 5.61 6.09 (k1& k4 -10%)

ξ(%)

5.55 2.50 2.24 2.32 2.47 2.57 8

f

n(Hz) 0.743 2.17 3.55 4.58 5.61 6.00 (k1-10%& k4-20%)

ξ(%)

5.59 2.52 2.24 2.31 2.47 2.55

f

n(Hz) 0.767 2.26 3.62 4.77 5.64 6.18 Intact

ξ(%)

5.43 2.47 2.24 2.33 2.48 2.59

表

3.4 MAC 值

Mode No. of damage case

1 2 3 4 5 6 1

(k1-5%) 1 1 1 1 1 1

2

(k1-10%) 1 1 1 1 1 1

3

(k1-20%) 1 1 0.99 0.99 1 1

4

(k4-5%) 1 1 1 1 1 1

5

(k4-10%) 1 1 1 1 1 0.99

6

(k4-20%)) 1 1 0.99 0.98 0.99 0.98

7

(k1& k4-10%) 1 1 1 1 1 1

8

(k1-10%& k4-20%) 1 1 1 0.98 0.99 0.98

表

3.5 子結構之理論值

sub-structure No. of damage case modal

parameters 1 2 3 4 5 6

1

f

n(Hz) 4.44 4.50 4.50 4.50 4.50 3.18 ( k1-5%)

ξ(%) 2.29 2.30 2.30 2.30 2.30 2.25

2

f

n(Hz) 4.39 4.50 4.50 4.50 4.50 3.18 ( k1-10%)

ξ(%) 2.29 2.30 2.30 2.30 2.30 2.25

3

f

n(Hz) 4.27 4.50 4.50 4.50 4.50 3.18 ( k1-20%)

ξ(%) 2.27 2.30 2.30 2.30 2.30 2.25

4

f

n(Hz) 4.50 4.50 4.44 4.44 4.50 3.18 ( k4-5%)

ξ(%) 2.98 2.30 2.29 2.29 2.30 2.25

5

f

n(Hz) 4.50 4.50 4.39 4.39 4.50 3.18 (k4-10%)

ξ(%) 2.30 2.30 2.29 2.29 2.30 2.25

6

f

n(Hz) 4.50 4.50 4.27 4.27 4.50 3.18 (k4-20%)

ξ(%) 2.30 2.30 2.27 2.27 2.30 2.25

7

f

n(Hz) 4.39 4.50 4.39 4.39 4.50 3.18 (k1& k4 -10%)

ξ(%) 2.29 2.30 2.29 2.29 2.30 2.25

8

f

n(Hz) 4.39 4.50 4.27 4.27 4.50 3.18 (k1-10%& k4-20%)

ξ(%) 2.29 2.30 2.27 2.27 2.30 2.25 f

n(Hz) 4.50 4.50 4.50 4.50 4.50 3.18 Intact

ξ(%) 2.30 2.30 2.30 2.30 2.30 2.25

表

3.6 六層樓剪力建築之子結構識別結果(NSR=0%)

sub-structure

No. of damage case modal parameters

1 2 3 4 5 6 1

f

n(Hz) 4.44 4.50 4.50 4.50 4.50 3.18 ( k1-5%)

ξ(%) 2.29 2.30 2.30 2.30 2.30 2.25

2

f

n(Hz) 4.39 4.50 4.50 4.50 4.50 3.18 ( k1-10%)

ξ(%) 2.29 2.30 2.30 2.30 2.30 2.25

3

f

n(Hz) 4.27 4.50 4.50 4.50 4.50 3.18 ( k1-20%)

ξ(%) 2.27 2.31 2.30 2.30 2.30 2.25

4

f

n(Hz) 4.50 4.50 4.44 4.44 4.50 3.18 ( k4-5%)

ξ(%) 2.30 2.33 2.29 2.29 2.29 2.25

5

f

n(Hz) 4.50 4.50 4.39 4.39 4.50 3.18 (k4-10%)

ξ(%) 2.30 2.30 2.29 2.29 2.29 2.25

6

f

n(Hz) 4.50 4.50 4.27 4.27 4.50 3.18 (k4-20%)

ξ(%) 2.30 2.29 2.27 2.27 2.32 2.25

7

f

n(Hz) 4.39 4.50 4.39 4.39 4.50 3.18 (k1& k4 -10%)

ξ(%) 2.29 2.33 2.29 2.29 2.30 2.25

8

f

n(Hz) 4.39 4.50 4.27 4.27 4.50 3.18 (k1-10%& k4-20%)

ξ(%) 2.29 2.33 2.27 2.27 2.30 2.25 f

n(Hz) 4.50 4.50 4.50 4.50 4.50 3.18 Intact

ξ(%) 2.30 2.30 2.30 2.30 2.30 2.25

表

3.7 COMAC 及 FRFCM 值

floor No. of damage case method

1 2 3 4 5 6

1 COMAC 1 1 1 1 1 1

( k1-5%) FRFCM 1 0.74 0.65 0.80 0.63 0.46

2 COMAC 1 1 1 1 1 1

( k1-10%) FRFCM 1 0.65 0.69 0.88 0.72 0.49

3 COMAC 1 1 1 0.99 0.99 0.99

( k1-20%) FRFCM 1 0.65 0.69 0.87 0.68 0.46

4 COMAC 1 1 1 1 1 1

( k4-5%) FRFCM 0.99 1 0.86 0.71 0.49 0.31

5 COMAC 1 1 1 1 0.99 0.99

(k4-10%) FRFCM 1 1 0.92 0.69 0.35 0.27

6 COMAC 1 0.99 0.99 0.99 0.97 0.98

(k4-20%) FRFCM 1 0.99 0.93 0.71 0.36 0.27

7 COMAC 1 1 1 1 0.99 1

(k1& k4 -10%) FRFCM 1 0.81 0.78 0.82 0.53 0.37

8 COMAC 1 0.99 0.99 1 0.98 0.98

(k1-10%& k4-20%) FRFCM 1 0.87 0.84 0.80 0.44 0.33

表

3.8 六層樓剪力建築之子結構識別結果(NSR=5%)

sub-structure

No. of damage case modal parameters

1 2 3 4 5 6 1

f

n(Hz) 4.45 4.50 4.50 4.50 4.50 3.18 ( k1-5%)

ξ(%) 2.43

2.39 2.27 2.38 2.50 2.35

2

f

n(Hz) 4.39 4.50 4.50 4.50 4.50 3.18 ( k1-10%)

ξ(%) 2.35

2.64 2.44 2.36 2.51 2.44

3

f

n(Hz) 4.27 4.50 4.50 4.49 4.50 3.18 ( k1-20%)

ξ(%) 2.33

2.47 2.41 2.42 2.54 2.39

4

f

n(Hz) 4.50 4.50 4.44 4.44 4.50 3.18 ( k4-5%)

ξ(%) 2.35

2.42 2.44 0.02 2.25 2.30

5

f

n(Hz) 4.50 4.50 4.39 4.39 4.50 3.18 (k4-10%)

ξ(%) 2.37

2.37 2.41 2.32 2.39 2.44

6

f

n(Hz) 4.50 4.50 4.27 4.27 4.50 3.18 (k4-20%)

ξ(%) 2.32

2.40 2.39 2.35 2.33 2.45

7

f

n(Hz) 4.39 4.51 4.38 4.38 4.50 3.18 (k1& k4 -10%)

ξ(%) 2.25

2.38 2.45 2.36 2.45 2.54

8

f

n(Hz) 4.39 4.50 4.27 4.27 4.50 3.18 (k1-10%& k4-20%)

ξ(%) 2.31

2.42 2.33 2.35 2.31 2.42

f

n(Hz) 4.50 4.50 4.50 4.50 4.50 3.18 Intact

ξ(%) 2.28

2.49 2.30 2.47 2.36 2.33

表

3.9 六層樓剪力建築之子結構識別結果(NSR=20%)

sub-structure

No. of damage case modal parameters

1 2 3 4 5 6 1

f

n(Hz) 4.44 4.49 4.50 4.49 4.49 3.18 ( k1-5%)

ξ(%) 2.23 2.48 2.46 2.44 2.42 2.44

2

f

n(Hz) 4.38 4.50 4.51 4.50 4.50 3.18 ( k1-10%)

ξ(%) 2.41 2.43 2.34 2.50 2.36 2.51

3

f

n(Hz) 4.27 4.50 4.51 4.49 4.51 3.19 ( k1-20%)

ξ(%) 2.37 2.49 2.31 2.48 2.69 2.49

4

f

n(Hz) 4.50 4.50 4.44 4.44 4.50 3.18 ( k4-5%)

ξ(%) 2.22 2.43 2.47 2.16 2.48 2.43

5

f

n(Hz) 4.50 4.50 4.40 4.39 4.51 3.19 (k4-10%)

ξ(%) 2.49 2.27 2.18 2.42 2.13 2.43

6

f

n(Hz) 4.51 4.50 4.28 4.27 4.50 3.19 (k4-20%)

ξ(%) 2.30 2.40 2.20 2.49 2.49 2.49

7

f

n(Hz) 4.38 4.50 4.39 4.38 4.50 3.18 (k1& k4 -10%)

ξ(%) 2.43 2.31 2.32 2.58 2.46 2.47

8

f

n(Hz) 4.38 4.49 4.27 4.27 4.52 3.19 (k1-10%& k4-20%)

ξ(%) 2.31 2.35 2.31 2.34 2.30 2.61 f

n(Hz) 4.50 4.50 4.49 4.50 4.51 3.18 Intact

ξ(%) 2.36 2.50 2.40 2.35 2.42 2.46

表

3.10 除噪之子結構識別結果(NSR=5%)

sub-structure No. of damage case Modal

parameters 1 2 3 4 5 6

1

f

n(Hz) 4.45 4.50 4.50 4.50 4.50 3.18 ( k1-5%)

ξ(%)

2.30 2.32 2.24 2.34 2.35 2.29 2

f

n(Hz) 4.39 4.50 4.50 4.50 4.50 3.18 ( k1-10%)

ξ(%)

2.24 2.33 2.34 2.24 2.37 2.24 3

f

n(Hz) 4.27 4.50 4.50 4.50 4.50 3.18 ( k1-20%)

ξ(%)

2.37 2.39 2.43 2.36 2.36 2.29 4

f

n(Hz) 4.50 4.50 4.44 4.44 4.50 3.18 ( k4-5%)

ξ(%)

2.30 2.31 2.29 2.27 2.26 2.23 5

f

n(Hz) 4.50 4.50 4.39 4.39 4.50 3.18 (k4-10%)

ξ(%)

2.33 2.30 2.28 2.42 2.28 2.23 6

f

n(Hz) 4.50 4.50 4.27 4.27 4.50 3.18 (k4-20%)

ξ(%)

2.29 2.33 2.29 2.30 2.22 2.26 7

f

n(Hz) 4.39 4.50 4.39 4.39 4.50 3.18 (k1& k4 -10%)

ξ(%)

2.25 2.33 2.34 2.30 2.33 2.26 8

f

n(Hz) 4.39 4.50 4.27 4.27 4.50 3.18 (k1-10%& k4-20%)

ξ(%)

2.27 2.32 2.29 2.27 2.22 2.20

f

n(Hz) 4.50 4.50 4.50 4.50 4.50 3.18 Intact

ξ(%)

2.26 2.31 2.47 2.36 2.33 2.25

表

3.11 除噪之子結構識別結果(NSR=20%)

sub-structure No. of damage case modal

parameters 1 2 3 4 5 6

1

f

n(Hz) 4.44 4.49 4.49 4.48 4.49 3.19 ( k1-5%)

ξ(%)

2.12 2.61 2.40 2.30 2.30 2.18 2

f

n(Hz) 4.38 4.49 4.49 4.49 4.50 3.18 ( k1-10%)

ξ(%)

2.41 2.44 2.11 2.36 2.11 2.28 3

f

n(Hz) 4.27 4.49 4.50 4.48 4.51 3.19 ( k1-20%)

ξ(%)

2.40 2.42 2.26 2.14 2.64 2.31 4

f

n(Hz) 4.50 4.50 4.44 4.43 4.50 3.19 ( k4-5%)

ξ(%)

2.12 2.44 2.43 2.33 2.37 2.19 5

f

n(Hz) 4.50 4.49 4.38 4.38 4.50 3.18 (k4-10%)

ξ(%)

2.42 2.29 2.33 2.45 2.05 2.42 6

f

n(Hz) 4.50 4.49 4.27 4.27 4.50 3.18 (k4-20%)

ξ(%)

2.30 2.30 2.23 2.44 2.46 2.22 7

f

n(Hz) 4.38 4.50 4.39 4.38 4.49 3.19 (k1& k4 -10%)

ξ(%)

2.48 2.48 2.39 2.38 2.51 2.19 8

f

n(Hz) 4.38 4.49 4.27 4.26 4.52 3.19 (k1-10%& k4-20%)

ξ(%)

2.38 2.36 2.36 2.57 2.29 2.55

f

n(Hz) 4.50 4.49 4.49 4.49 4.50 3.18 Intact

ξ(%)

2.37 2.45 2.09 2.23 2.39 2.35

表

3.12 微動反應之整體識別

mode No. of damage case modal

parameters 1 2 3 4 5 6

1

f

n(Hz) 0.763 2.24 3.60 4.75 5.63 6.18 ( k1-5%)

ξ(%)

4.21 2.52 2.25 2.33 2.48 2.60

2

f

n(Hz) 0.757 2.24 3.58 4.73 5.62 6.17 ( k1-10%)

ξ(%)

4.40 2.87 2.24 2.33 2.49 2.57

3

f

n(Hz) 0.740 2.19 3.54 4.70 5.60 6.17 ( k1-20%)

ξ(%)

4.42 2.58 2.23 2.30 2.47 2.61

4

f

n(Hz) 0.764 2.25 3.61 4.73 5.63 6.14 ( k4-5%)

ξ(%)

4.14 2.81 2.25 2.33 2.48 2.58

5

f

n(Hz) 0.757 2.24 3.58 4.73 5.62 6.17 (k4-10%)

ξ(%)

4.40 2.87 2.24 2.33 2.49 2.57

6

f

n(Hz) 0.740 2.19 3.54 4.70 5.60 6.17 (k4-20%)

ξ(%)

4.42 2.58 2.23 2.30 2.47 2.61

7

f

n(Hz) 0.752 2.21 3.57 4.66 5.61 6.08 (k1& k4 -10%)

ξ(%)

4.24 2.75 2.23 2.30 2.46 2.59

8

f

n(Hz) 0.745 2.17 3.55 4.58 5.61 6.00 (k1-10%& k4-20%)

ξ(%)

4.46 2.68 2.24 2.30 2.46 2.55

f

n(Hz) 0.769 2.26 3.62 4.77 5.64 6.18 Intact

ξ(%)

4.32 2.74 2.40 2.43 2.51 2.70

表

3.13 微動反應動態參數之 MAC 值

mode

case

1 2 3 4 5 6 1

(k1-5%) 1 0.99 1 1 1 1

2

(k1-10%) 1 1 1 1 1 1

3

(k1-20%) 1 1 0.99 0.99 0.99 0.98

4

(k4-5%) 1 1 1 1 1 1

5

(k4-10%) 1 0.99 1 0.99 1 0.99

6

(k4-20%)) 1 1 0.99 0.98 0.99 0.98

7

(k1& k4-10%) 1 1 1 0.99 0.99 0.98 8

(k1-10%& k4-20%) 1 1 1 0.98 0.99 0.98

表

3.14 微動反應之子結構識別結果

substructure

case modal

parameters 1 2 5 4 5 6

1

f

n(Hz) 4.44 4.50 4.50 4.50 4.50 3.18 ( k1-5%)

ξ(%)

2.30 2.31 2.33 2.28 2.37 2.31 2

f

n(Hz) 4.39 4.50 4.50 4.50 4.50 3.18 ( k1-10%)

ξ(%)

2.29 2.32 2.33 2.27 2.41 2.32 3

f

n(Hz) 4.27 4.50 4.50 4.50 4.50 3.18 ( k1-20%)

ξ(%)

2.28 2.33 2.35 2.24 2.43 2.36 4

f

n(Hz) 4.50 4.50 4.47 4.43 4.50 3.18 ( k4-5%)

ξ(%)

2.31 2.31 2.55 2.45 2.38 2.33 5

f

n(Hz) 4.50 4.50 4.40 4.35 4.50 3.18 (k4-10%)

ξ(%)

2.30 2.31 2.52 3.24 2.39 2.31 6

f

n(Hz) 4.50 4.50 4.26 4.21 4.50 3.18 (k4-20%)

ξ(%)

2.30 2.32 3.64 3.66 2.40 2.30 7

f

n(Hz) 4.39 4.50 4.40 4.38 4.50 3.18 (k1& k4 -10%)

ξ(%)

2.30 2.35 2.55 3.01 2.50 2.36 8

f

n(Hz) 4.39 4.50 4.30 4.25 4.50 3.18 (k1-10%& k4-20%)

ξ(%)

2.29 2.33 3.24 2.84 2.42 2.34

f

n(Hz) 4.50 4.50 4.50 4.50 4.50 3.18 Intact

ξ(%)

2.30 2.30 2.33 2.29 2.43 2.31

表

3.15 COMAC 與 FRFCM 損傷指標

floor case method

1 2 3 4 5 6

1 COMAC 1 1 1 1 1 1

( k1-5%) FRFCM 0.77 0.82 0.53 0.46 0.70 1

2 COMAC 1 1 1 1 1 1

( k1-10%) FRFCM 0.69 0.54 0.48 0.55 0.69 1

3 COMAC 0.99 1 0.99 0.99 0.98 0.99

( k1-20%) FRFCM 0.40 0.44 0.42 0.59 1 0.75

4 COMAC 1 1 1 1 1 1

( k4-5%) FRFCM 0.62 0.67 0.45 0.67 0.68 1

5 COMAC 1 1 1 1 0.99 0.99

(k4-10%) FRFCM 0.68 0.76 0.51 0.53 0.69 1

6 COMAC 1 0.99 0.99 0.99 0.97 0.98

(k4-20%) FRFCM 0.60 0.54 0.74 1 0.58 0.90

7 COMAC 0.99 0.99 0.99 1 1 1

(k1& k4-10%) FRFCM 0.78 0.53 0.53 0.89 0.64 1

8 COMAC 1 0.98 0.99 1 0.98 0.98

(k1-10%& k4 -20%) FRFCM 0.64 0.55 0.61 1 0.49 0.81

表

4.1 桿件斷面

Dir – 2m Dir -3m

Column H125x125x6.5x9 H125x125x6.5x9 Beam H150x75x5x7 H100x100x6x8 Girder H100x50x5x7 H100x50x5x7

Bracing L65x65x6x6 L65x65x6x6

表

4.2 不同性質鋼構架之模態參數

mode frame modal

parameters 1 2 3 4 5

f

n(Hz) 1.40 4.53 8.23 12.38 15.99 std

ξ(%) 1.44 0.19 0.4 0.15 0.12

f

n(Hz) 1.34 4.52 8.06 11.93 15.75 add_m

ξ(%) 1.19 0.18 0.19 0.18 0.13

f

n(Hz) 1.52 5.94 8.22 13.99 18.27 add_k

ξ(%) 1.72 0.2 0.17 0.16 3.64

f

n(Hz) 1.36 4.45 8.08 12.26 15.89 std_yielding

ξ(%) 5.68 1.73 2.01 1.50 1.79

表

4.3 MAC 值

mode frame

1 2 3 4 5 add_m 1 1 0.99 0.98 0.99

add_k 0.99 0.91 1 0.66 0.86 std _yielding 1 1 0.99 0.99 0.99

表

4.4 局部識別

sub-structure frame modal

parameters 1 2 3 4 5

f

n(Hz) 10.51 9.00 8.82 10.06 5.05 std

ξ(%) 0.95 0.86 0.10 2.56 0.35

f

n(Hz) 10.49 8.94 8.83 8.87 5.09 add_m

ξ(%) 0.12 0.63 6.09 3.24 0.39

f

n(Hz) 10.50 9.07 14.22 14.73 5.78 add_k

ξ(%) 0.30 7.11 0.86 0.54 0.24

f

n(Hz) 9.97 8.99 8.86 10.08 5.10 std_yield

ξ(%) 2.82 3.17 0.49 1.14 0.91

Ψ (t)

M

-8 -4 0 4 8

time (sec)

-1 -0.5

0 0.5

1 1.5

M

(a) Meyer 小波函數

0.5

0 1 2 3

frequency (Hz)

0 0.1 0.2 0.3 0.4

ˆΨ (ω)

M

(b) ^ˆ M

  

之各頻率分量 圖

2.1 小波函數

j output j+1 input

j-1 iutput DOF

mj+1

mj

mj‐1

kj+1

k_j mn-1

mn

Kn

n

m2

m1

k₁ k₂ Kn‐1

n-1 n-2 mn-2

1 2

j

^th

substructure

圖

2.2 多層剪力建築

圖

2.3 隨機遞減曲線

floor

5

4

3

2

1

6 0.1ton

0.1ton 0.1ton

0.1ton

0.1ton

0.1ton 40 KN m

40 KN m

40 KN m

40 KN m

40 KN m

a

g

40 KN m

(a)

k₆ m₆ k₅ k₄ k₃ k₂ k₁

m₅ m4

m₃ m₂ m₁

(b)

圖

3.1 六層樓剪力建築

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 time (sec)

-0.2 -0.1 0 0.1 0.2 0.3

acc (g)

input

0.001 0.01 0.1 1

log (

0 1 2 3 4 5 6 7 8

frequency (Hz)

9 10

input

圖

3.2 集集地震輸入之歷時圖及傅氏譜

mp)A

-0.6

time (sec)

75 80 85

0.001 0.01 0.1 1

log (Amp)

0 1 2 3 4 5 6 7 8 9 10

frequency (Hz) 0.001

0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

5F

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Frequency (Hz)

k-00%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k-00%

2^nd substructure 4^thsub-structure 6^th substructure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

2nd substructure 4th substructure 6^th substructure

(b)

圖

3.5 無勁度折減之子結構識別結果(NSR=0%)

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ( IJ )

4 4.5 5

Frequency (Hz)

k1-05%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1-05%

2^nd substructure 4^thsub-structure 6^th substructure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2

2nd substructure 4th substructure 6th substructure

(b)

圖

3.6 Case 1 之子結構識別結果(NSR=0%)

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Frequency (Hz)

k1-20%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1-20%

2^nd substructure 4^thsub-structure 6^th substructure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

2nd substructure 4th substructure 6th substructure

(b)

圖

3.7 Case 3 之子結構識別結果(NSR=0%)

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Frequency (Hz)

k1-20%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1-20%

2^nd substructure 4^thsub-structure 6^th substructure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

2^nd substructure 4^th substructure 6^th substructure

(b)

圖

3.8 Case 4 之子結構識別結果(NSR=0%)

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Frequency (Hz)

k1k4-10%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1k4-10%

2^nd substructure 4^thsub-structure 6^th substructure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(b)

圖

3.9 Case 7 之子結構識別結果(NSR=0%)

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Frequency (Hz)

k1-10%&k4-20%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

2nd substructure 4th substructure 6th substructure

(a)

Frequency (Hz)

k1-10%&k4-20%

2^nd substructure 4^thsub-structure 6^th substructure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(b)

圖

3.10 Case 8 之子結構識別結果(NSR=0%)

0 1 2 3 4 5 6 substructure or floor 0

0.2 0.4 0.6 0.8

1 present

COMAC FRFCM

k1-5%

0 1 2 3 4 5 6

substructure or floor 0

0.2 0.4 0.6 0.8

1 present

COMAC FRFCM

k4-5%

0 1 2 3 4 5 6

substructure or floor 0

0.2 0.4 0.6 0.8

1 present

COMAC FRFCM

k1-10%

0 1 2 3 4 5 6

substructure or floor 0

0.2 0.4 0.6 0.8

1 present

COMAC FRFCM

k4-10%

0 1 2 3 4 5 6

substructure or floor 0

0.2 0.4 0.6 0.8

1 present

COMAC FRFCM

k1-20%

0 1 2 3 4 5 6

substructure or floor 0

0.2 0.4 0.6 0.8

1 noise5%

denoise Bar Chart 3

k4-20%

0 1 2 3 4 5 6

substructure or floor 0

0.2 0.4 0.6 0.8

1 present

COMAC FRFCM

k1-10%&k4-10%

0 1 2 3 4 5 6

substructure or floor 0

0.2 0.4 0.6 0.8

1 present

COMAC

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 time (sec)

-0.2 -0.1 0 0.1 0.2 0.3

acc (g)

input

0 1 2 3 4 5 6 7 8 9

frequency (Hz)

10 0.001

0.01 0.1 1

log (Amp)

input

圖 3.12 地震輸入歷時圖及其傅氏譜(NSR=5%)

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 time (sec)

-0.4

0 1 2 3 4 5 6 7 8 9 frequency (Hz)

10 0.001

0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

1F

4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Frequency (Hz)

k-00%

1^stsubstructure 3^rdsubstructure 5^thsubstructure

8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsubstructure 3^rdsubstructure 5^thsubstructure

(a)

Frequency (Hz)

k-00%

2^nd substructure 4^thsub-structure 6^th substructure

8 9 10 11 12 13 14 15 16 17 18 19 20

2nd substructure 4th substructure 6^th substructure

(b)

圖

3.15 標準構架之子結構識別結果(NSR=5%)

4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Frequency (Hz)

k1-05%

1^stsubstructure 3^rdsubstructure 5^thsubstructure

8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsubstructure 3^rdsubstructure 5^thsubstructure

(a)

Frequency (Hz)

k1-05%

2ndsubstructure 4thsubstructure 6thsubstructure

8 9 10 11 12 13 14 15 16 17 18 19 2

2nd substructure 4th substructure 6th substructure

(b)

圖

3.16 Case 1 之子結構識別結果(NSR=5%)

4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Frequency (Hz)

k1-20%

1^stsubstructure 3^rdsubstructure 5^thsubstructure

8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsubstructure 3^rdsubstructure 5^thsubstructure

(a)

Frequency (Hz)

k1-20%

2^nd substructure 4^thsub-structure 6^th substructure

8 9 10 11 12 13 14 15 16 17 18 19 20

2nd substructure 4th substructure 6th substructure

(b)

圖

3.17 Case 3 之子結構識別結果(NSR=5%)

4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Frequency (Hz)

k4-05%

1^stsubstructure 3^rdsubstructure 5^thsubstructure

8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k4-05%

2^nd substructure 4^thsub-structure 6^th substructure

8 9 10 11 12 13 14 15 16 17 18 19 20

2nd substructure 4th substructure 6th substructure

(b)

圖

3.18 Case 4 之子結構識別結果(NSR=5%)

4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Frequency (Hz)

k1k4-10%

1^stsubstructure 3^rdsubstructure 5^thsubstructure

8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1k4-10%

2^nd substructure 4^thsub-structure 6^th substructure

8 9 10 11 12 13 14 15 16 17 18 19 20

2nd substructure 4th substructure 6th substructure

(b)

圖

3.19 Case 7 之子結構識別結果(NSR=5%)

4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2

Frequency (Hz)

k1-10%&k4-20%

1^stsubstructure 3^rdsubstructure 5^thsubstructure

8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsubstructure 3^rdsubstructure 5^thsubstructure

(a)

Frequency (Hz)

k1-10%&k4-20%

2^nd substructure 4^thsub-structure 6^th substructure

8 9 10 11 12 13 14 15 16 17 18 19 20

2nd substructure 4th substructure 6th substructure

(b)

圖

3.20 Case 8 之子結構識別結果(NSR=5%)

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 time (sec)

-0.2 -0.1 0 0.1 0.2 0.3

acc (g)

input

0 1 2 3 4 5 6 7 8 9

f

10 requency (Hz)

0.001 0.01 0.1 1

log (Amp)

input

圖

3.21 地震輸入歷時圖及其傅氏譜(NSR=20%)

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 time (sec)

-0.4

0 1 2 3 4 5 6 7 8 9 frequency (Hz)

10 0.001

0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

1F

7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

Frequency (Hz)

k-00%

1^stsub-structure 3^rdsubstructure 5^thsub-structure

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k-00%

2^nd substructure 4^thsubstructure 6^th substructure

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

2nd substructure 4th substructure 6^th substructure

(b)

圖

3.24 無勁度折減之局部識別結果(NSR=20%)

7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

Frequency (Hz)

k1-05%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1-05%

2^nd substructure 4^thsub-structure 6^th substructure

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

2nd substructure 4th substructure 6th substructure

(b)

圖

3.25 Case 1 之局部識別結果(NSR=20%)

8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

Frequency (Hz)

k1-20%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1-20%

2^nd substructure 4^thsub-structure 6^th substructure

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

2nd substructure 4th substructure 6th substructure

(b)

圖

3.26 Case 3 之局部識別結果(NSR=20%)

8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

Frequency (Hz)

k4-05%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k4-05%

2^nd substructure 4^thsub-structure 6^th substructure

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

2nd substructure 4th substructure 6th substructure

(b)

圖

3.27 Case 4 之局部識別結果(NSR=20%)

7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

Frequency (Hz)

k1k4-10%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1k4-10%

2^nd substructure 4^thsub-structure 6^th substructure

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

2nd substructure 4th substructure 6th substructure

(b)

圖

3.28 Case 7 之局部識別結果(NSR=20%)

7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

Frequency (Hz)

k1-10%&k4-20%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1-10%&k4-20%

2^nd substructure 4^thsub-structure 6^th substructure

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

2nd substructure 4th substructure 6th substructure

(b)

圖

3.29 Case 8 之局部識別結果(NSR=20%)

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 time (sec)

-0.2

0 1 2 3 4 5 6 7 8 9 10 frequency (Hz)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

input

2 3 4 5 6 7 8 9 10 11 12 13 14 1

Frequency (Hz)

k-00%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 15

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k-00%

2^nd substructure 4^thsub-structure 6^th substructure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

2nd substructure 4th substructure 6^th substructure

(b)

圖

3.32 除噪後無勁度折減之局部識別結果(NSR=5%)

2 3 4 5 6 7 8 9 10 11 12 13 14 15

Frequency (Hz)

k1-05%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 15

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1-05%

2^nd substructure 4^thsub-structure 6^th substructure

2 3 4 5 6 7 8 9 10 11 12 13 14 15

2nd substructure 4th substructure 6th substructure

(b)

圖

3.33 Case 1 除噪後之局部識別結果(NSR=5%)

2 3 4 5 6 7 8 9 10 11 12 13 14

Frequency (Hz)

k1-20%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1-20%

2^nd substructure 4^thsub-structure 6^th substructure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

2nd substructure 4th substructure 6th substructure

(b)

圖

3.34 Case 3 除噪後之局部識別結果(NSR=5%)

2 3 4 5 6 7 8 9 10 11 12 13 14 1

Frequency (Hz)

k4-05%

1^stsubstructure 3^rdsubstructure 5^thsubstructure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k4-05%

2^nd substructure 4^thsub-structure 6^th substructure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

2nd substructure 4th substructure 6th substructure

(b)

圖

3.35 Case 4 除噪後之局部識別結果(NSR=5%)

4 4.5 5

Frequency (Hz)

2 3 4 5 6 7 8 9 10 11 12 13 14 1

k1k4-10%

1^stsubstructure 3^rdsubstructure 5^thsubstructure

( IJ )

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1k4-10%

2^nd substructure 4^thsub-structure 6^th substructure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

2nd substructure 4th substructure 6th substructure

(b)

圖

3.36 Case 7 除噪後之局部識別結果(NSR=5%)

2 3 4 5 6 7 8 9 10 11 12 13 14

Frequency (Hz)

k1-10%&k4-20%

1^stsubstructure 3^rdsubstructure 5^thsubstructure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1-10%&k4-20%

2^nd substructure 4^thsub-structure 6^th substructure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

2nd substructure 4th substructure 6th substructure

(b)

圖

3.37 Case 8 除噪後之局部識別結果(NSR=5%)

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 time (sec)

-0.2

0 1 2 3 4 5 6 7 8 9 10 frequency (Hz)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

input

2 3 4 5 6 7 8 9 10 11 12 13 14

Frequency (Hz)

k-00%

1^stsub-structure 3^rdsubstructure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k-00%

2^nd substructure 4^thsubstructure 6^th substructure

3 4 5 6 7 8 9 10 11 12 13 14 15

2nd substructure 4th substructure 6^th substructure

(b)

圖

3.40 標準構架除噪後之局部識別結果(NSR=20%)

2 3 4 5 6 7 8 9 10 11 12 13 14

Frequency (Hz)

k1-05%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1-05%

2^nd substructure 4^thsub-structure 6^th substructure

3 4 5 6 7 8 9 10 11 12 13 14 15

2nd substructure 4th substructure 6^th substructure

(b)

圖

3.41 Case 1 除噪後之局部識別結果(NSR=20%)

2 3 4 5 6 7 8 9 10 11 12 13 14

Frequency (Hz)

k1-20%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1-20%

2^nd substructure 4^thsub-structure 6^th substructure

3 4 5 6 7 8 9 10 11 12 13 14 15

2nd substructure 4th substructure 6th substructure

(b)

圖

3.42 Case 3 除噪後之局部識別結果(NSR=20%)

2 3 4 5 6 7 8 9 10 11 12 13 14

Frequency (Hz)

k4-05%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k4-05%

2^nd substructure 4^thsub-structure 6^th substructure

3 4 5 6 7 8 9 10 11 12 13 14 15

2nd substructure 4th substructure 6th substructure

(b)

圖

3.43 Case 4 除噪後之局部識別結果(NSR=20%)

2 3 4 5 6 7 8 9 10 11 12 13 14

Frequency (Hz)

k1k4-10%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1k4-10%

2^nd substructure 4^thsub-structure 6^th substructure

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

2nd substructure 4th substructure 6th substructure

(b)

圖

3.44 Case 7 除噪後之局部識別結果(NSR=20%)

2 3 4 5 6 7 8 9 10 11 12 13 14

Frequency (Hz)

k1-10%&k4-20%

1^stsub-structure 3^rdsub-structure 5^thsub-structure

2 3 4 5 6 7 8 9 10 11 12 13 14 1

1^stsub-structure 3^rdsub-structure 5^thsub-structure

(a)

Frequency (Hz)

k1-10%&k4-20%

2^nd substructure 4^thsub-structure 6^th substructure

3 4 5 6 7 8 9 10 11 12 13 14 15

2nd substructure 4th substructure 6th substructure

(b)

圖

3.45 Case 8 除噪後之局部識別結果(NSR=20%)

0 1 2 3 4 5 6 7 8 9 10 time (sec)

11

vel. (cm/s)

-0.15

0 1 2 3 4 5 6 7 8 9 10 time (sec)

11

0 4 8 time (sec)

12

0 4 8 time (sec)

12

0 4 8 time (sec)

12

0 4 8 time (sec)

12

0 4 8 time (sec)

12

0 4 8 time (sec)

12

0 4 8 time (sec)

12

0 1 2 3 4 5 6

0 1 2 3 4 5 6

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 time (sec)

-0.2 -0.1 0 0.1 0.2 0.3

acc (g)

input

0 1 2 3 4 5 6 7 8 9

frequency (Hz)

10 0.001

0.01 0.1 1

log (Amp)

input

圖

3.57 輸入歷時圖與傅氏譜(NSR=10%)

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 time (sec)

-0.4

0 1 2 3 4 5 6 7 8 9 frequency (Hz)

10 0.001

0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

1F

0 1 2 3 4 5 6

0 1 2 3 4 5 6

1 2 3 4 5 6

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85

0 1 2 3 4 5 6 7 8 9 10 frequency (Hz)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

0.001 0.01 0.1 1

log (Amp)

input

1 2 3 4 5 6

1 2 3 4 5 6

k1-10%^&k4-10%

0 1 2 3 4 5 6

k1-10%^&k4-20%

圖

3.66 除噪後 Case 1~Case 8 之 NPE 值(NSR=20%)

圖

4.1 國家地震工程研究中心之五層樓鋼構架

(摘錄自葉等人，1999)

A4

圖

4.2 五層樓鋼構架立體圖

(摘錄自葉等人，1999)

圖

4.3 五層頭鋼構架俯視圖及立面圖

(摘錄自葉等人，1999)

(a) (b) (c)

圖

4.4 三種型態之鋼構架(a) std 構架 (b) add_m 構架(c) add_k 構架

input

0 5 10 15 20 25 30 35

time (sec) -0.1

-0.05 0 0.05 0.1

acc (g)

input

0 5 10 15 20 25

frequency (Hz) 1E-005

0.0001 0.001 0.01 0.1

log (Amp)

圖

4.5 20%之 EL Centro 地震輸入之歷時圖及傅氏譜

圖

4.6 10%與 60%Kobe 地震下最底層柱之應變歷時圖

input

0 5 10 15 20 25 30

time (sec) -0.6

-0.4 -0.2 0 0.2 0.4

acc (g)

input

0 2 4 6 8 10 12 14 16 18 20 22 24

Frequency (Hz) 1E-006

1E-005 0.0001 0.001 0.01 0.1 1 10 100

log (Amp)

圖

4.7 60% Kobe 地震輸入之歷時圖及傅氏譜

5F

4F

3F

2F

1F

-0.2 -0.1 0 0.1 0.2

acc (g)

-0.2 -0.1 0 0.1 0.2

acc (g)

-0.2 -0.1 0 0.1 0.2

acc (g)

-0.2 -0.1 0 0.1 0.2

acc(g)

-0.2 -0.1 0 0.1 0.2

acc(g)

0 5 10 15 20 25 30 35

time (sec)

圖

4.8 “std＂構架各樓層之反應歷時圖

5F

4F

3F

2F

1F

-0.2 -0.1 0 0.1 0.2

acc (g)

-0.2 -0.1 0 0.1 0.2

acc (g)

-0.2 -0.1 0 0.1 0.2

acc (g)

-0.2 -0.1 0 0.1 0.2

acc(g)

-0.2 -0.1 0 0.1 0.2

acc(g)

0 5 10 15 20 25 30 35

time (sec)

圖

4.9 “add_m＂構架各樓層之反應歷時圖

5F

time (sec) -0.2

5F

time (sec)

圖

4.11“std_yield＂構架各樓層之反應歷時圖

5F

log (Amp)

1E-005

log (Amp)

1E-005

log (Amp)

1E-005

log (Amp)

1E-005

log (Amp)

0 5 10 15 20 25

frequency (Hz)

圖

4.12 “std＂構架各樓層之傅氏譜

5F

log (Amp)

1E-005

log (Amp)

1E-005

log (Amp)

1E-005

log (Amp)

1E-005

log (Amp)

0 5 10 15 20 25

Frequency (Hz)

圖

4.13 “add_m＂構架各樓層之傅氏譜

5F

log (Amp)

1E-005

log (Amp)

1E-005

log (Amp)

1E-005

log (Amp)

1E-005

log (Amp)

0 5 10 15 20 25

frequency (Hz)

圖

4.14 “add_k＂構架各樓層之傅氏譜

5F

log (Amp)

0.0001

log (Amp)

0.0001

log (Amp)

0.0001

log (Amp)

0.0001

log (Amp)

0 5 10 15 20 25

Frequency (Hz)

圖

4.15 “std_yield＂構架各樓層之傅氏譜

0 1 2 3 4 5

-1 -0.5 0 0.5 1 std addk

圖

4.16 “std＂構架及“add_k＂構架之第三模態

0 1 2 3 4 5 6 7 8

Frequency(Hz)

0 2 4 6 8 10

(m2/sec)/Hz

5F-FRF

圖

4.17 五樓之頻率響應函數

1 2 3 4 5

substructure or floor

0 0.2 0.4 0.6 0.8 1

present COMAC FRFCM

add_m

1 2 3 4 5

substructure or floor

0 0.2 0.4 0.6 0.8

1 present

COMAC FRFCM

add_k

1 2 3 4 5

substructure or floor

0 0.2 0.4 0.6 0.8

1 present

COMAC FRFCM

std_yield (a)

(b)

(c)

圖

4.18 損傷評估方法之比較圖

0 1 2 3 4 5

DOF

0 0.2 0.4 0.6 0.8

1 5story steel frame

add_m add_k std-yield

圖

4.19 不同型態鋼構架之 NPE 值

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在文檔中 以子結構時間序列模型診斷剪力構架之損傷 (頁 70-184)