第五章 結論與未來展望
5.2 未來展望
本文一開始就有提到影像量測法屬於一新興發展的量測方法,在這個領域還 有許多需要解決的困難與挑戰。另外風機的損壞監測也是因應近年來替代能源意 識提高後,才開始進行的研究題目,本研究主要是屬於風機的前期研究,對於未來 研究的展望如以下列舉:
1. 希望可以降低影像量測時的環境干擾,並且進行野外現地的影像量測,讓 影像量測可以真正實際應用到真實的風機量測上,這樣對於風機行為與損 壞的研究會更加真實、有用。
2. 目前本研究中是利用馬達帶動風扇轉動,並且使用震動台給予外力作用,
觀察其動態行為,未來希望可以嘗試風洞試驗,畢竟現實中風機的外力最 主要是來自於風作用力,並且如前一點所提,使用風洞試驗的話影像量測
操作勢必會遇到更大的挑戰。
3. 最後希望可以進行不同種類尺寸風機與不同環境的試驗,風機的架設環境 多變,不同環境下的風機都會有不同形式的損壞情形,若是可以進行多種 環境之下風機的結果分析,對於風機的損壞監測會是一大助力。
4. 另外可以利用可靠度分析針對風扇的破壞模式或是影像量測誤差進行研 究。
參考文獻
[1] Kung-Chun Lu and Chin-Hsiung Loh, “Development of Wireless Sensing Systemfor Structural Health Monitoring”, Earth and Space 2010: Engineering, Science,Construction, and Operations in Challenging Environments © 2010 ASCE.
[2] Antoni, J., “Cyclostationarity by examples,” Mechanical Systems and Signal
Processing, 23; 987–1036 (2009).
[3] Skjoldan, P., Hansen, M., “On the similarity of the Coleman and Lyapunov-Floquet transformations for modal analysis of bladed rotor structures,” Journal
of Sound and Vibration 327 (3-5) 424–439 (2009).
[4] Simmermacher, T., James III, G.H., Hurtado, J.E., “Structural health monitoring of wind turbines,” Proceedings of the International Workshop on Structural
Health Monitoring, Stanford, CA, September 18-20, pp. 788-797(1997)..
[5] James III, G.H., “Development of structural health monitoring techniques using dynamic testing,” SANDIA REPORT: SAND96-0810, UC-706, April (1996).
[6] W.Y. Hsiung, Y.T. Huang, C.H. Loh, K. J-H. Loh, R.J., Kamisky, D. Ni, and C.
van Dam. “Analyzing the dynamic response of rotating blades in small-scale wind turbines,” SPIE Smart Structures/NDE, March 9-13, San Diego, Paper ID:
9061-84 (2014).
[7] Jyoti K.Sinha n, KeriElbhbah. A future possibility of vibration based condition monitoring of rotating machines. Mechanical Systems and Signal
Processing ,Volume 34, Issues 1–2, January 2013, Pages 231–240
[8] Gareth L.Forbes, RobertB.Randall. Estimation of turbine blade natural frequencies from casing pressure and vibration measurements. Mechanical
Systems and Signal Processing, Volume 36, Issue 2, April 2013, Pages 549–561
[9] P.J. Murtagh, B. BasuCorresponding, B.M. Broderick Along-wind response of a wind turbine tower with blade coupling subjected to rotationally sampled wind loading. Engineering Structures ,Volume 27, Issue 8, July 2005, Pages 1209–
1219
[10] Yang YS, Huang CW and Wu CL. A simple image-based strain measurement method for measuring the strain fields in an RC wall experiment. Earthquake
Engineering & Structural Dynamics,;41:1-17. (2012).
[11] Yang, Y. S., Huang, C. W., Wu, C. L. (2011). " Image-based Measurement Techniques for Earthquake Engineering," Proceedings of the 9h Pacific Conference on Earthquake Engineering, Paper No. 159, Apr. 14-16, 2011, Auckland, New Zealand.
[12] Yang, Y. S., Huang, C. W., Chen, B. T., & Wu, C. L. (2008). "Image-based Surface Strain Field Measurement of a Post-Tensioned RC-Wall Cyclic Test,"
Eleventh East Asia-Pacific Conference on Structural Engineering &
Construction (EASEC-11), Taipei, Taiwan, November, 2008.
[13] 楊元森、黃仲偉、吳俊霖、劉易欣、葉育綸 牛鬥橋現地實驗之橋柱應變場 與裂縫分析 ,牛鬥橋現地實驗研討會,台北,2011/4/27
[14] Tung SH, Shih MH, Kuo JC. “Application of digital image correlation for anisotropic plastic deformation during tension testing,” Optics and Lasers in
Engineering; 48(5):636–641 (2010). DOI:10.1016/j.optlaseng.2009.09.011.
[15] Capéran P. “Displacement and strain field photogrammetric measurements of a reinforced concrete slab submitted to an earthquakes loading,” Proceedings of
the OPTIMESS2007 Workshop, Leuven, Belgium, 28–30 May (2007).
Collapse of a non-ductile concrete frame: shaking table tests. Earthquake
Engineering and Structural Dynamics; 38(2):205–224
(2009) DOI:10.1002/eqe.853.[17] Lewangamage CS, Abe M, Fujino Y, Yoshida J. Strain field measurements of rubber by image analysis and design criteria for laminated rubber bearings (LRB). Earthquake Engineering and Structural Dynamics; 33(4):445–464. DOI:
10.1002/eqe.356. (2004).
[18] Capart H, Young DL, Zech Y. Voronoï imaging methods for the measurement of granular flows.
Experiments in Fluids; 32(1):121–135.
DOI:10.1007/s003480200013.(2002)
[19] James W. Cooley and John W. Tukey, “An algorithm for the machine calculation of complex Fourier series”, Mathematics of Computation vol.19, No.90, April 1965
[20] Camera Calibration Toolbox for MATLAB. Available from:
http://www.vision.caltech.edu/bouguetj/calib_doc/index.html [1 July 2008].
[21] Harris C, Stephens M. A combined corner and edge detector. Proceedings of the 4th Alvey Vision Conference,Manchester, U.K., 1988; 147–151.
附表
項目(Item) 規格(Specification) 最大載重(公斤)(Maximum Specimen Weight (kg)) 50,000
最大扭矩(公斤-公尺)(Overturning Moment (kg-m)) 150,000 頻率範圍(Frequency
Range) (Hz)
最大值(Maximum) 50 最小值(Minimum ) 0.1 最大位移量(Max.
Displacement) (mm)
縱軸,X 向
(Longitudinal ) ±250 橫軸,Y 向(Lateral ) ±100 垂直軸,Z 向(Vertical ) ±100 最大速度(Max.
Velocity) (mm/sec)
縱軸,X 向
(Longitudinal ) ±1,000 橫軸,Y 向(Lateral ) ±600 垂直軸,Z 向(Vertical ) ±500 最大加速度(Max.
Acceleration) (g)
(Actuator Force) (ton)
系統供油(System Flow)
電動引擎 2 台(Electric
Pump x 2 ) 380GPM ( 1436LPM ) 柴油引擎 3 台(Diesel
Pump x 3) 945GPM ( 3572LPM ) 反力質塊(Reaction
Mass ) 阻尼彈簧組(Damper Assemblies ( 80 set ))
Table 2-1. 震動台規格列表
Resolution
(H x V pixels) 2048 px x 1088 px
Pixel Size horizontal/vertical 5.5 µm x 5.5 µm
Frame Rate 340 fps
Mono/Color Mono
Interface Camera Link
Pixel Bit Depth 8, 10, 12 bits
Camera Link Clock 32.5 / 48 / 65 / 82 MHz
Synchronization
external trigger
software
free-run
Exposure Control trigger width or timed
Design housed
Housing Size (L x W x H) in mm 43.5 x 29 x 29
Housing Temperature 0 °C - 50 °C
Lens Mount C-mount
General Purpose I/O 1
Power Requirements PoCL or 12 VDC
Power Consumption (typical) 3.0 W
Weight (typical) 96 g
Table 2-2. 相機規格列表
Root mean square error
Impact load 3.79%
15 RPM un-damaged 4.41%
15 RPM damaged 1.59%
45 RPM un-damaged 5.24%
Table 4-1. 影像法和加速規資料誤差列表
角度
Case
𝝓 𝜸
1
𝜸2
𝜸3
15 RPM case1 89.96 -6.58 12.81 0.13 15 RPM case2 90.18 -9.6 12.05 0.63 15 RPM case3 85.1 -20.58 10.69 -0.84
Table 4 - 3. 損壞多角度風扇角度列表
角度
Case
𝝓 𝜸
1
𝜸2
𝜸3
15 RPM case1 97.62 -6.78 -0.35 -0.01 15 RPM case2 89.93 -10.16 -0.16 0.17 15 RPM case3 96.25 -20.43 -0.4 -0.15
Table 4-2. 無損壞多角度風扇角度列表
0 RPM 𝝓 𝜸 𝟏 𝜸 𝟐 𝜸 𝟑 Tower freq.
(Hz)
Blade freq.
(Hz) Undamaged 83.92 -7.41 -0.02 0.04 0.8545 1.709
Damaged 84.12 -7.25 0.04 -0.01 0.8545 1.758
Table 4-4. 靜止大風扇角度變化
12 RPM 𝝓 𝜸 𝟏 𝜸 𝟐 𝜸 𝟑 Tower
freq.
(Hz)
Blade freq.
(Hz) Undamaged 83.83 -8.51 -2.60 2.79 0.8545 1.746
Damaged 83.78 -8.54 -2.37 0.78 0.8545 1.868
Table 4-5. 12 RPM 大尺寸風扇角度變化
附圖
Figure 1-1. 研究架構 Wind turbine
Experimental study
Noncontact
measurement
Photogrammetry Contact
measurement
Accelerometer
Rodrigues’ rotation Camera calibration Stereo triangulation
Figure 2-1.小尺寸風機
Figure2-2. 多角度風機
Figure 2-3. 多角度風機細部圖
Figure 2-4. 大尺寸風機
Figure 2-5. 實驗配置圖
Figure 2-6. 實驗相機 BASLER acA2000-340km
Figure 2-7. 相機校正版
Figure 2-8. 影像量測標的物 LED
Figure 2-9. 試驗中使用加速規
Figure 2-10. 風機細部儀器配置圖
Figure 2-11. 同步用雷射光源
Figure 3-1. 質量塊 deceleration 和 acceleration 現象
Figure 3-2. 加速規架設側視圖
Figure 3-3. 旋轉葉片示意圖
Figure 3-4. 勁度矩陣自由度示意圖
Figure 3-5. 勁度矩陣 element 圖
Figure 3-6. 影像量測誤差示意圖
Figure 3-7
.
旋轉向量 x 以n̂為軸旋轉一θ角Figure 3-8. Rodrigues’ rotation formula 座標轉換步驟示意圖
Figure 3-9. 葉片三方向轉角示意圖
Figure 4-1. 加速度計 Impact load 歷時圖
Figure 4-2. 雷射測距儀 Impact load 歷時圖
Figure 4-3. 影像法 Impact load 3 維歷時圖
Figure 4-4. 影像法 Impact load 切線方向歷時圖
Figure 4-5. 影像法 Impact load 軸向方向歷時圖 Figure 4-6. 影像法 Impact load 振動方向歷時圖
Figure 4-7. 加速度計 Impact load 頻譜圖
Figure 4-8. 雷射測距儀 Impact load 頻譜圖
Figure 4-9. 影像量測法 Impact load 頻圖
Figure 4-10. 比較三種量測方法歷時圖
Figure 4-11. 15 RPM 50gal 白噪音地震力作用下影像法三維歷時圖
Figure 4-12. 15 RPM 50gal 白噪音地震力作用下影像法 xy 平面歷時圖
Figure 4-13. 15RPM 50gal 白噪音地震力作用下影像法 x 向歷時圖
Figure 4-14. 15RPM 50gal 白噪音地震力作用下影像法 y 向歷時圖
Figure 4-15. 15RPM 50gal 白噪音地震力作用下影像法振動向歷時圖
Figure 4-16. 15RPM 50gal 白噪音地震力作用下影像法 x 方向頻譜圖
Figure 4-17. 15RPM 50gal 白噪音地震力作用下影像法 y 方向頻譜圖
Figure 4-18. 15RPM 50gal 白噪音地震力作用下影像法振動方向頻譜圖
0 1 2 3 4 5 6 7 8 9 10
X: 0.2441 Y: 1.055e+006
Frequency (Hz)
|Y(f)|
FFT(X direction)
0 1 2 3 4 5 6 7 8 9 10
X: 0.2441 Y: 1.062e+006
Frequency (Hz)
|Y(f)|
FFT(Y direction)
0 1 2 3 4 5 6 7 8 9 10
X: 0.2441 Y: 1.035e+005
FFT out of plane
Frequency (Hz)
|Y(f)|
X: 0.5371 Y: 8.045e+004
Figure 4-19. 15RPM 50gal 白噪音地震力作用下影像法振動向歷時圖(去除轉速影響)
Figure 4-20. 同步訊號圖
Figure 4-22. 15RPM 50gal 白噪音地震力作用下影像法頻譜圖
Figure 4-23. 15RPM 50gal 白噪音地震力作用下影像法頻譜圖(去除轉速頻率)
Figure 4-24. 15RPM 50gal 白噪音地震力作用下加速度計頻譜圖
0 1 2 3 4 5 6 7 8 9 10
Frequency (Hz)
|Y(f)| Y: 8.88e+004
Frequency (Hz)
|Y(f)|
FFT
X: 3.65 Y: 4.906e+004
Figure 4-25. 損壞試驗 15RPM 50PGA Kobe 地震力作用下影像法三維歷時圖
Figure 4-26. 損壞試驗 15RPM 50PGA Kobe 地震力作用下影像法 xy 平面歷時圖
Figure 4-27. 損壞試驗 15RPM 50PGA Kobe 地震力作用下影像法 x 向歷時圖
Figure 4-28. 損壞試驗 15RPM 50PGA Kobe 地震力作用下影像法 y 向歷時圖
Figure 4-29. 損壞試驗 15RPM 50PGA Kobe 地震力作用下影像法振動向歷時圖
Figure 4-30. 損壞試驗 15RPM 50PGA Kobe 地震力作用下影像法振動向歷時圖 (去除轉速頻率)
0 2 4 6 8 10 12
-30 -20 -10 0 10 20 30
Time History of Vibration (image)
time (sec)
d is p la c e m e n t (m m )
Figure 4-32. 損壞試驗 15RPM 50PGA Kobe 地震力作用下影像法頻譜圖
Frequency (Hz)
|Y(f)|
Frequency (Hz)
|Y(f)|
Frequency (Hz)
|Y(f)|
FFTaccl
Figure 4-35. 有損壞和沒損壞試驗影像法頻譜圖比較
0 1 2 3 4 5 6 7 8 9 10
0 2000 4000 6000 8000 10000 12000 14000
Frequency (Hz)
|Y (f )|
FFT
Figure 4-36. 45RPM 50PGA Kobe 地震力作用下影像法三維歷時圖
Figure 4-37. 45RPM 50PGA Kobe 地震力作用下影像法 xy 平面歷時圖
-500
0
500
-500 0
500 -100
0 100
x (mm) y (mm)
o u t o f p la n e ( m m )
-800 -600 -400 -200 0 200 400 600 800 -800
-600 -400 -200 0 200 400 600 800
x (mm)
y ( m m )
Figure 4-38. 45RPM 50PGA Kobe 地震力作用下影像法 x 向歷時圖
Time History of Vibration at X direction (image)
time (sec)
displacement (mm)
0 2 4 6 8 10 12
Time History of Vibration at Y direction (image)
time (sec)
displacement (mm)
0 2 4 6 8 10 12
Time History of Vibration (image)
time (sec)
displacement (mm)
Figure 4-41. 45RPM 50PGA Kobe 地震力作用下影像法振動向歷時圖
Time History of Vibration (image)
time (sec)
displacement (mm)
image
Time History of Vibration (image)
time (sec)
displacement (mm)
image
Accelerometer
Figure 4-43. 45RPM 50PGA Kobe 地震力作用下影像法 x 方向頻譜圖
Figure 4-44. 45RPM 50PGA Kobe 地震力作用下影像法 y 方向頻譜圖
0 1 2 3 4 5 6 7 8 9 10
X: 0.8789 Y: 1.056e+006
Frequency (Hz)
|Y(f)|
FFT(X direction)
0 1 2 3 4 5 6 7 8 9 10
X: 0.8789 Y: 1.044e+006
Frequency (Hz)
|Y(f)|
FFT(Y direction)
0 1 2 3 4 5 6 7 8 9 10
X: 0.8789 Y: 9.61e+004
FFT out of plane
Frequency (Hz)
|Y(f)|
X: 1.807 Y: 6.804e+004
Figure 4-46. 45RPM 50PGA Kobe 地震力作用下影像法頻譜圖(去除轉速頻率)
Figure 4-47. 45RPM 50PGA Kobe 地震力作用下加速度計頻譜圖(去除轉速頻率)
0 1 2 3 4 5 6 7 8 9 10
0 1000 2000 3000 4000 5000 6000 7000 8000
Frequency (Hz)
|Y (f )|
FFT
0 1 2 3 4 5 6 7 8 9 10
0 1 2 3 4 5 6 7 x 10
4Frequency (Hz)
|Y (f )|
FFT
Figure 4-48. 大尺寸風扇試驗 12RPM 30PGA El Centro 地震力作用下影像法三維歷時圖
Figure 4-49. 大尺寸風扇試驗 12RPM 30PGA El Centro 地震力作用影像法 xy 平面歷時圖
-2000
-1000 0
1000
2000
-2000 -1000
0 1000
2000 -100 100 0
x (mm) y (mm)
o u t o f p la n e ( m m )
-2000 -1500 -1000 -500 0 500 1000 1500 2000 -2000
-1500 -1000 -500 0 500 1000 1500 2000
x (mm)
y ( m m )
Figure 4-50. 大尺寸風扇 12RPM 30PGA El Centro 地震力作用下影像法 x 向歷時圖
Time History of Vibration at X direction (image)
time (sec)
di sp la ce m en t ( m m )
0 5 10 15 20 25 30
Time History of Vibration at Y direction (image)
time (sec)
di sp la ce m en t ( m m )
0 5 10 15 20 25 30
Time History of Vibration (image)
time (sec)
di sp la ce m en t ( m m )
Figure 4- 53. 大尺寸風扇 影像法三個不同方向的頻譜圖比較
Frequency (Hz)
|Y (f )|
Frequency (Hz)
|Y(f)|
FFT(Y direction)
0 1 2 3 4 5 6 7 8 9 10
Frequency (Hz)
|Y(f)|
Figure 4-55. 15RPM 三方向 (a)初始值假設(b)最小誤差疊合結果 歷時圖
AccX init guess
Guess Exp-ax (axial)
0 10 20 30 40 50 60
AccY init guess
Guess
Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ init guess
Guess
Exp-az (out of plane)
0 10 20 30 40 50 60
AccX opti matched
Matched Exp-ax (axial)
0 10 20 30 40 50 60
AccY opti matched
Matched Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ opti matched
Matched
Exp-az (out of plane)
0 10 20 30 40 50 60
AccX init guess
Guess Exp-ax (axial)
0 10 20 30 40 50 60
AccY init guess
Guess
Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ init guess
Guess
Exp-az (out of plane)
0 10 20 30 40 50 60
AccX opti matched
Matched Exp-ax (axial)
0 10 20 30 40 50 60
AccY opti matched
Matched Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ opti matched
Matched
Exp-az (out of plane)
(a)
(b)
Accl axial
residual
Accl tangent
residual
Accl out of plane
residual Guess Exp(out of plane)
Figure 4-59. 15RPM 三方向原始訊號頻譜圖
Frequency (Hz)
|Y (f )|
FFT no transform
axial out of plane tangent
Frequency (Hz)
|Y (f )|
FFT after tarnsforming
X: 3.65 Y: 246.9
axial
out of plane
tangent
Figure 4-61 . 45RPM 三方向 (a)初始值假設(b)最小誤差疊合結果 歷時圖
AccX init guess
Guess Exp-ax (axial)
0 10 20 30 40 50 60
AccY init guess
Guess Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ init guess
Guess
Exp-az (out of plane)
0 10 20 30 40 50 60
AccX opti matched
Matched Exp-ax (axial)
0 10 20 30 40 50 60
AccY opti matched
Matched Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ opti matched
Matched
Exp-az (out of plane)
0 10 20 30 40 50 60
AccX init guess
Guess Exp-ax (axial)
0 10 20 30 40 50 60
AccY init guess
Guess Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ init guess
Guess
Exp-az (out of plane)
0 10 20 30 40 50 60
AccX opti matched
Matched Exp-ax (axial)
0 10 20 30 40 50 60
AccY opti matched
Matched Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ opti matched
Matched
Exp-az (out of plane)
(b) (a)
Figure 4-62. 軸向方向模擬訊號與原訊號與殘餘訊號比較
Accl axial
residual
Accl tangent
residual
Accl out of plane
residual Guess Exp(out of plane)
Figure 4-65. 45RPM 三方向原始訊號頻譜圖
Frequency (Hz)
|Y (f )|
FFT no transform
axial out of plane tangent
Frequency (Hz)
|Y (f )|
FFT after tarnsforming
X: 3.589
out of plane
tangent
Figure 4-67. 不同轉速振動方向原始訊號的頻譜圖
Figure 4-68. 不同轉速振動方向殘餘訊號頻譜圖
0 10 20 30 40 50 60
AccX init guess
Guess Exp-ax (axial)
0 10 20 30 40 50 60
AccY init guess
Guess
Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ init guess
Guess
Exp-az (out of plane)
0 10 20 30 40 50 60
AccX opti matched
Matched Exp-ax (axial)
0 10 20 30 40 50 60
AccY opti matched
Matched Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ opti matched
Matched
Exp-az (out of plane)
0 10 20 30 40 50 60
AccX init guess
Guess Exp-ax (axial)
0 10 20 30 40 50 60
AccY init guess
Guess Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ init guess
Guess
Exp-az (out of plane)
0 10 20 30 40 50 60
AccX opti matched
Matched Exp-ax (axial)
0 10 20 30 40 50 60
AccY opti matched
Matched Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ opti matched
Matched
Exp-az (out of plane)
(a)
(b)
Accl axial
residual
Accl tangent
residual
Accl out of plane
residual Guess Exp(out of plane)
Figure 4-73. 損壞試驗 15RPM 三方向原始訊號頻譜圖
Frequency (Hz)
|Y (f )|
FFT no transform
axial out of plane tangent
Frequency (Hz)
|Y (f )|
FFT after tarnsforming
axial
out of plane
tangent
Figure 4-75. 損壞試驗 15RPM 三方向 (a)初始值假設(b)最小誤差疊合結果 歷時圖
AccX init guess
Guess Exp-ax (axial)
0 10 20 30 40 50 60
AccY init guess
Guess
Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ init guess
Guess
Exp-az (out of plane)
0 10 20 30 40 50 60
AccX opti matched
Matched Exp-ax (axial)
0 10 20 30 40 50 60
AccY opti matched
Matched Exp-ay (tangent)
0 10 20 30 40 50 60
-0.5 0 0.5
Time (s)
AccZ opti matched
Matched
Exp-az (out of plane)
0 10 20 30 40 50 60
AccX init guess
Guess Exp-ax (axial)
0 10 20 30 40 50 60
AccY init guess
Guess
Exp-ay (tangent)
0 10 20 30 40 50 60
AccZ init guess
Guess
Exp-az (out of plane)
0 10 20 30 40 50 60
AccX opti matched
Matched Exp-ax (axial)
0 10 20 30 40 50 60
AccY opti matched
Matched Exp-ay (tangent)
0 10 20 30 40 50 60
-0.5 0 0.5
Time (s)
AccZ opti matched
Matched
Exp-az (out of plane)
(a)
(b)
Figure 4-76. 軸向模擬訊號與原訊號與殘餘訊號比較
Accl axial
residual
Accl tangent
residual
Accl out of plane
residual Guess Exp(out of plane)
Figure 4-79. 損壞試驗 45RPM 三方向原始訊號頻譜圖
Frequency (Hz)
|Y (f )|
FFT no transform
axial out of plane tangent
Frequency (Hz)
|Y (f )|
FFT after tarnsforming
axial
out of plane
tangent
Figure 4-81. 損壞試驗 不同轉速振動方向原始訊號的頻譜圖
Figure 4-82. 損壞試驗 不同轉速振動方向殘餘訊號頻譜圖
Figure 4-83. 多角度風扇彎曲破壞示意圖
Figure 4-84. 多角度風扇實際彎曲圖
Figure 4-85. case1 損壞試驗 三方向(a)初始值假設(b)最小誤差疊合結果 歷時圖
Ac cX in it gu es s
GuessExp-ax (axial)
0 10 20 30 40 50 60
Ac cY in it gu es s
GuessExp-ay (tangent)
0 10 20 30 40 50 60
Ac cZ in it gu es s
GuessExp-az (out of plane)
0 10 20 30 40 50 60
-2 -1 0 1
Ac cX o pt i m at ch ed
MatchedExp-ax (axial)
0 10 20 30 40 50 60
Ac cY o pt i m at ch ed
MatchedExp-ay (tangent)
0 10 20 30 40 50 60
Ac cZ o pt i m at ch ed
MatchedExp-az (out of plane)
0 10 20 30 40 50 60
-2 -1 0 1
Ac cX in it g ue ss
GuessExp-ax (axial)0 10 20 30 40 50 60
Ac cY in it g ue ss
GuessExp-ay (tangent)0 10 20 30 40 50 60
Ac cZ in it g ue ss
GuessExp-az (out of plane)0 10 20 30 40 50 60
-2 -1 0 1
Ac cX op ti m atc he d
MatchedExp-ax (axial)
0 10 20 30 40 50 60
Ac cY op ti m atc he d
MatchedExp-ay (tangent)
0 10 20 30 40 50 60
Ac cZ op ti m atc he d
MatchedExp-az (out of plane)
(a)
(b)
Figure 4-86. 軸向模擬訊號與原訊號與殘餘訊號比較
Accl axial
residual
Accl tangent
residual
Accl out of plane
residual Guess Exp(out of plane)
Figure 4-89. case1 損壞試驗 三方向原始訊號頻譜圖
Frequency (Hz)
|Y (f )|
FFT no transform
axial out of plane tangent
Frequency (Hz)
|Y (f )|
FFT after tarnsforming
axial
out of plane
tangent
Figure 4-91. case2 損壞試驗 三方向(a)初始值假設(b)最小誤差疊合結果 歷時圖
Ac cX in it gu es s
GuessExp-ax (axial)
0 10 20 30 40 50 60
Ac cY in it gu es s
GuessExp-ay (tangent)
0 10 20 30 40 50 60
Ac cZ in it gu es s
GuessExp-az (out of plane)
0 10 20 30 40 50 60
-2 -1 0 1
Ac cX o pt i m at ch ed
MatchedExp-ax (axial)
0 10 20 30 40 50 60
Ac cY o pt i m at ch ed
MatchedExp-ay (tangent)
0 10 20 30 40 50 60
Ac cZ o pt i m at ch ed
MatchedExp-az (out of plane)
0 10 20 30 40 50 60
-2 -1 0 1
Ac cX in it gu es s
GuessExp-ax (axial)
0 10 20 30 40 50 60
Ac cY in it gu es s
GuessExp-ay (tangent)
0 10 20 30 40 50 60
Ac cZ in it gu es s
GuessExp-az (out of plane)
0 10 20 30 40 50 60
-2 -1 0 1
Ac cX o pt i m at ch ed
MatchedExp-ax (axial)
0 10 20 30 40 50 60
Ac cY o pt i m at ch ed
MatchedExp-ay (tangent)
0 10 20 30 40 50 60
Ac cZ o pt i m at ch ed
MatchedExp-az (out of plane)
(a)
(b)
Figure 4-92. 軸向模擬訊號與原訊號與殘餘訊號比較
Accl axial
residual
Accl tangent
residual
Accl out of plane
residual Guess Exp(out of plane)
Figure 4-95. case2 損壞試驗 三方向原始訊號頻譜圖
Figure 4-96. case2 損壞試驗 三方向殘餘訊號頻譜圖比較
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
0 2000 4000 6000 8000 10000 12000
Frequency (Hz)
|Y (f )|
FFT no transform
axial out of plane tangent
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
0 50 100 150 200 250 300
Frequency (Hz)
|Y (f )|
FFT after tarnsforming
axial
out of plane
tangent
Figure 4-97. case3 損壞試驗 三方向(a)初始值假設(b)最小誤差疊合結果 歷時圖
Ac cX in it gu es s
GuessExp-ax (axial)
0 10 20 30 40 50 60
Ac cY in it gu es s
GuessExp-ay (tangent)
0 10 20 30 40 50 60
Ac cZ in it gu es s
GuessExp-az (out of plane)
0 10 20 30 40 50 60
-2 -1 0 1
Ac cX o pt i m at ch ed
MatchedExp-ax (axial)
0 10 20 30 40 50 60
Ac cY o pt i m at ch ed
MatchedExp-ay (tangent)
0 10 20 30 40 50 60
Ac cZ o pt i m at ch ed
MatchedExp-az (out of plane)
0 10 20 30 40 50 60
-2 -1 0 1
A cc X in it gu es s
GuessExp-ax (axial)
0 10 20 30 40 50 60
A cc Y in it gu es s
GuessExp-ay (tangent)
0 10 20 30 40 50 60
A cc Z in it gu es s
GuessExp-az (out of plane)
0 10 20 30 40 50 60
-2 -1 0 1
A cc X o pt i m at ch ed
MatchedExp-ax (axial)
0 10 20 30 40 50 60
A cc Y o pt i m at ch ed
MatchedExp-ay (tangent)
0 10 20 30 40 50 60
A cc Z op ti m at ch ed
MatchedExp-az (out of plane)
(a)
(b)
Figure 4-98. 軸向模擬訊號與原訊號與殘餘訊號比較
Accl axial
residual
Accl tangent
residual
Accl out of plane
residual Guess Exp(out of plane)
Figure 4-101. case3 損壞試驗 三方向原始訊號頻譜圖
Frequency (Hz)
|Y (f )|
FFT no transform
axial out of plane tangent
Frequency (Hz)
|Y (f )|
FFT after tarnsforming
axial
out of plane
tangent
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 0
50 100 150 200 250
Frequency (Hz)
|Y (f )|
FFT after tarnsforming
20 10 7
Figure 4-103. 三種 case 振動方向殘餘訊號的頻譜圖比較
簡 歷
姓名:黃昱婷 生日:80/06/24
住址:新竹市埔頂路 167 巷 2 號 信箱:[email protected] 學歷:國立新竹女中(2006-2009)
國立交通大學土木工程學系(2009-2012)
國立台灣大學土木工程學系研究所結構工程組(2012-2014)