Identification of pile damage in high pile wharf by fiber Bragg grating sensor array

参数	损伤区域	未损伤区域	用途
$ω_{d c} (x)$	三次函数	一次函数或常数	-
$ω_{d c}^{''} (x)$	线性函数	0	用于损伤定位
$θ (x)$	常数，仅与损伤程度有关，与载荷无关	0	用于损伤程度计算

Table 2. Damage parameters

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Table 2. Damage parameters

Damage case	Damage I			Damage II			Damage III
Damage case	Location	Preset $α^{'}$	Actual $α$	Location	Preset $α^{'}$	Actual $α$	Location	Preset $α^{'}$	Actual $α$
D0	-	-	-	-	-	-	-	-	-
D1	3.9-4.3	0.1	0.091	-	-	-	-	-	-
D2	3.9-4.3	0.1	0.091	8.1-8.5	0.2	0.179	-	-	-
D3	3.9-4.3	0.1	0.091	8.1-8.5	0.2	0.179	13.7-14.1	0.3	0.275

Table 3. Comparison between calculated damage location and actual damage location （interval of 0.02 m）

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Table 3. Comparison between calculated damage location and actual damage location （interval of 0.02 m）

Damage case	Damage 1		Damage 2		Damage 3
Damage case	Actual location	Measured location	Actual location	Measured location	Actual location	Measured location
S1	3.9-4.3	3.92-4.28	-	-	-	-
S2	3.9-4.3	3.92-4.28	8.1-8.5	8.12-8.48	-	-
S3	3.9-4.3	3.92-4.28	8.1-8.5	8.12-8.48	13.7-14.1	13.72-14.08

Table 4. Comparison between calculated damage location and actual damage location （interval of 0.1 m）

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Table 4. Comparison between calculated damage location and actual damage location （interval of 0.1 m）

Damage case	Damage 1		Damage 2		Damage 3
Damage case	Actual location	Measured location	Actual location	Measured location	Actual location	Measured location
S1	3.9-4.3	4.0-4.2	-	-	-	-
S2	3.9-4.3	4.0-4.2	8.1-8.5	8.2-8.4	-	-
S3	3.9-4.3	4.0-4.2	8.1-8.5	8.2-8.4	13.7-14.1	13.8-14.0

Table 5. Comparison of measured damage degree to actual damage degree

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Table 5. Comparison of measured damage degree to actual damage degree

Damage case	Damage 1			Damage 2			Damage 3
Damage case	Actual α	Measured α	Relative error/%	Actual α	Measured α	Relative error/%	Actual α	Measured α	Relative error/%
D1	0.091	0.090	1.10	-	-	-	-	-	-
D2	0.091	0.088	3.30	0.182	0.178	-2.25	-	-	-
D3	0.091	0.089	2.20	0.182	0.177	-2.82	0.274	0.27	1.48

Table 6. Damage parameters

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Table 6. Damage parameters

Damage	Hole coordinate /mm	Hole depth /mm	Hole diameter /mm	Cross-section damage coefficient	Remark
1	（-62.5，0，415）	50	10	0.040 8	Symmetrical arrangement
2	（62.5，0，415）	50	10	0.040 8	Symmetrical arrangement
3	（-62.5，0，695）	25	5	0.010 2	Symmetrical arrangement
4	（62.5，0，695）	25	5	0.010 2	Symmetrical arrangement
5	（-62.5，0，975）	50	5	0.020 4	Symmetrical arrangement
6	（62.5，0，975）	50	5	0.020 4	Symmetrical arrangement

Table 7. Real location and identified location of damage

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Table 7. Real location and identified location of damage

Damage case	Damage composition	Hole axial position x/mm	Measured position/mm
S1	Damage 1	415	380-450
S2	Damage 1 and 2	415	380-450
S3	Damage 1 and 2	415	380-450
S3	Damage 3	695	660-730
S4	Damage 1 and 2	415	380-450
S4	Damage 3 and 4	695	660-730
S5	Damage 1 and 2	415	380-450
	Damage 3 and 4	695	660-730
	Damage 5	975	940-1010
S6	Damage 1 and 2	415	380-450
	Damage 3 and 4	695	660-730
	Damage 5 and 6	975	940-1010

Table 8. Calculation result of damage degree

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Table 8. Calculation result of damage degree

Damage case	Cross section/mm	Damage composition	Cross-section damage coefficient	Measured α
S1	x=415	Damage 1	0.040 8	0.119
S2	x =415	Damage 1&2	0.081 6	0.251
S3	x =415	Damage 1&2	0.081 6	0.231
S3	x =695	Damage 3	0.010 2	0.059
S4	x =415	Damage 1&2	0.081 6	0.279
S4	x =695	Damage 3&4	0.020 4	0.117
S5	x =415	Damage 1&2	0.081 6	0.271
	x =695	Damage 3&4	0.020 4	0.107
	x =975	Damage 5	0.020 4	0.072
S6	x =205	Damage 1&2	0.081 6	0.229
	x =415	Damage 3&4	0.020 4	0.090
	x =975	Damage 5&6	0.040 8	0.112

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Yue-jie SHU, Jun WU, Shi-liang ZHOU, Jun-jie WANG. Identification of pile damage in high pile wharf by fiber Bragg grating sensor array[J]. Optics and Precision Engineering, 2021, 29(10): 2349

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