Unsupervised identification of damage and load characteristics in time-varying systems

Continuum Mechanics and Thermodynamics

Volumn 27, Issue 4-5, 2015, Pages 531-550

  Roveri, N ^a   Carcaterra, A ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Cracked beam; Empirical mode decomposition; Hilbert transform; Structural health monitoring; Time varying systems

Indexed keywords

CRACKS; DAMAGE DETECTION; DATA HANDLING; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; TIME VARYING SYSTEMS;

CRACKED BEAMS; EMPIRICAL MODE DECOMPOSITION; ENSEMBLE EMPIRICAL MODE DECOMPOSITION; HILBERT TRANSFORM; INSTANTANEOUS FREQUENCY; PARAMETERS IDENTIFICATION; SIMULTANEOUS IDENTIFICATION; SINGLE-POINT MEASUREMENT;

STRUCTURAL HEALTH MONITORING;

EID: 84932195189     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-013-0328-3     Document Type: Article

References (54)

1. Fan W.: Vibration-based damage identification methods: a review and comparative study. Struct. Health Monit. 10, 83–111 (2010)
2. Yang, J.N., Chang, P.C., Fujitani, H., Li, H., Spencer Jr., B.F., Xu, Y.L., Yuan, F.G.: Structural control and health monitoring. In: Proceedings of International Conference on Advances and New Challenges in Earthquake Engineering Research vol. 3, pp. 9–14 (2002)
3. Salvino, L.W.: Evaluation of structural response and damping using empirical mode analysis and HHT. In: Fifth World Multiconference on Systemics, Cybernetics and Informatics, Orlando, FL, 22–25 July (2001)
4. Wahab, M.A., De Roeck, G.: Effect of temperature on dynamic system parameters of a highway bridge. Struct. Eng. Int. 4, 266–270 (1997)
5. Maurini C., Pouget J., dell’Isola F.: Extension of the Euler-Bernoulli model of piezoelectric laminates to include 3D effects via a mixed approach. Comput. Struct. 84(22–23), 1438–1458 (2006)
6. Porfiri M., dell’Isola F., Santini E.: Modeling and design of passive electric networks interconnecting piezoelectric transducers for distributed vibration control. Int. J. Appl. Electromagn. Mech. 21(2), 69–87 (2005)
7. dell’Isola F., Vidoli S.: Continuum modelling of piezoelectromechanical truss beams: an application to vibration damping. Arch. Appl. Mech. 68(1), 1–19 (1998)
8. Vidoli S., dell’Isola F.: Vibration control in plates by uniformly distributed PZT actuators interconnected via electric networks. Eur. J. Mech. A/Solids 20(3), 435–456 (2001)
9. Oliveto G., Cuomo M.: Incremental analysis of plane frames with geometric and material nonlinearities. Eng. Struct. 10(1), 2–12 (1988)
10. Andreaus U., Baragatti P.: Experimental damage detection of cracked beams by using nonlinear characteristics of forced response. Mech. Syst. Signal Process. 31(8), 382–404 (2012)
11. Andreaus U., Baragatti P.: Cracked beam identification by numerically analysing the nonlinear behaviour of the harmonically forced response. J. Sound Vib. 330(4), 721–742 (2011)
12. Chance, J., Thomlinson, G.R., Worden, K.: A simplified approach to the numerical and experimental modeling of the dynamics of a cracked beam. In: The 12th International Modal Analysis Conference, pp. 778–785. Honolulu, USA (1994)
13. Bellino, A., Garibaldi, L., Marchesiello, S.: Determination of moving load characteristics by output-only identification over the Pescara beams. J. Phys. Conf. Ser. 305(1):012079. doi:10.1088/1742-6596/305/1/012079 (2011)
14. Roveri, N., Carcaterra, A.: Damage detection in structures under traveling loads by Hilbert–Huang transform. Mech. Syst. Signal Proces. (2011, In Press)
15. Lin H.P., Chang S.C., Wu J.D.: Beam vibrations with an arbitrary number of cracks. J. Sound Vib. 258(5), 987–999 (2002)
16. Rinaldi A., Lai Y.-C.: Statistical damage theory of 2D lattices: energetics and physical foundations of damage parameter. Int. J Plast. 23, 1796–1825 (2007)
17. Rinaldi A.: Bottom-up modeling of damage in heterogeneous quasi-brittle solids. Contin. Mech. Thermodyn. 25(2–4), 359–373 (2013)
18. Rinaldi A., Krajcinovic D., Mastilovic S.: Statistical damage mechanics and extreme value theory. Int. J. Damage Mech. 16(1), 57–76 (2007)
19. Contrafatto L., Cuomo M.: A new thermodynamically consistent continuum model for hardening plasticity coupled with damage. Int. J. Solids Struct. 39, 6241–6271 (2002)
20. Cuomo, M., Nicolosi, A.: A poroplastic model for hygro-chemo-mechanical damage of concrete. In: Computational Modelling of Concrete Structures, Proceedings of EURO-C, pp. 533–542 (2006)
21. Madeo A., Gavrilyuk S.: Propagation of acoustic waves in porous media and their reflection and transmission at a pure-fluid/porous-medium permeable interface. Eur. J. Mech. A/Solids 29(5), 897–910 (2010)
22. Placidi, L., Rosi, G., Giorgio, I., Madeo, A.: Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials. Math. Mech. Solids. doi:10.1177/1081286512474016 (2013)
23. Rosi G., Madeo A., Guyader J.L.: Switch between fast and slow Biot compression waves induced by second gradient microstructure at material discontinuity surfaces in porous media. Int. J. Solids Struct. 50(10), 1721–1746 (2013)
24. Lekszycki T., dell’Isola F.: A mixture model with evolving mass densities for describing synthesis and resorption phenomena in bones reconstructed with bio-resorbable materials. ZAMM 92(6), 426–444 (2012)
25. Madeo, A., Lekszycki, T., dell’Isola, F.: A continuum model for the bio-mechanical interactions between living tissue and bio-resorbable graft after bone reconstructive surgery. Comptes Rendus - Mecanique 339(10), 625–640, 3 (2011)
26. Madeo A., George D., Lekszycki T., Nierenberger M., R’emond Y.: A second gradient continuum model accounting for some effects of micro-structure on reconstructed bone remodelling. Comptes Rendus Mécanique 340(8), 575–589 (2012)
27. Ouyang H.: Moving-load dynamic problems: a tutorial (with a brief overview). Mech. Syst. Signal Process. 25, 2039–2060 (2011)
28. Zhong S., Oyadiji S.O., Worden K.: Analytical predictions of natural frequencies of cracked simply supported beams with a stationary roving mass. J. Sound Vib. 311, 328–352 (2008)
29. Bulut H., Kelesoglu O.: Comparing numerical methods for response of beams with moving mass. Adv. Eng. Softw. 41, 976–980 (2010)
30. Andreaus U., Baragatti P.: Fatigue crack growth, free vibrations and breathing crack detection of Aluminium Alloy and Steel beams. J. Strain Anal. Eng. Des. 44(7), 595–608 (2009)
31. Carcaterra A., Roveri N.: Tire grip identification based on strain information: theory and simulations. Mech. Syst. Signal Process. 41(1–2), 564–580 (2013)
32. Roveri N., Carcaterra A., Akay A.: Vibration absorption using non-dissipative complex attachments with impacts and parametric stiffness. J. Acoust. Soc. Am. 126(5), 2306–2314 (2009)
33. Roveri, N., Carcaterra, A.: Targeted energy pumping using a linear complex attachment, proceedings of ISMA 2012. In: International Conference on Noise and Vibration Engineering, KU Leuven (Belgium), 17–19 September 2012. ISBN 9789073802896
34. Altenbach H., Eremeyev V.A., Lebedev L.P.: On the existence of solution in the linear elasticity with surface stresses. ZAMM 90(3), 231–240 (2010)
35. Eremeyev V.A., Lebedev L.P.: Existence of weak solutions in elasticity. Math. Mech. Solids 18(2), 204–210 (2013)
36. Belokon’ A.V., Eremeyev V.A., Nasedkin A.V., Solov’yev A.N.: Partitioned schemes of the finite-element method for dynamic problems of acoustoelectroelasticity. J. Appl. Math. Mech. 64(3), 367–377 (2000)
37. Huang N.E., Shen Z., Long S.R., Wu M.C., Shih H.H., Zheng Q., Yen N., Tung C.C., Liu H.H.: The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc. R. Soc. Lond. A 454, 903–995 (1998)
38. Wu Z., Huang N.E.: Ensemble empirical mode decomposition: a noise-assisted data analysis method. Adv. Adapt. Data Anal. 1(1), 1–41 (2009)
39. Hahn, S.: Hilbert Transforms in Signal Processing. pp. 442, Artech House Signal Processing Library (1995)
40. Nuttall A.H.: On the quadrature approximation to the Hilbert transform of modulated signals. Proc. IEEE 54, 1458–1459 (1966)
41. Huang N.E., Wu Z., Long S.R., Arnold K.C., Chen X., Blank K.: On the instantaneous frequency. Adv. Adapt. Data Anal. 1(2), 177–229 (2009)
42. Wu, Z.: HHT MATLAB Program, available online at: http://rcada.ncu.edu.tw/research1_clip_program.htm
43. Goldberg D.E.: Genetic Algorithms, in Search, Optimization & Machine Learning. Addison-Wesley, Reading, MA (1989)
44. Luongo A., Romeo F.: A Transfer-matrix-perturbation approach to the dynamics of chains of nonlinear sliding beams. J. Vib. Acoust. 128, 190–196 (2006)
45. Altenbach H., Eremeyev V.A.: Eigen-vibrations of plates made of functionally graded material. Comput. Mater. Contin. 9(2), 153–177 (2009)
46. D’Annibale, F., Luongo, A.: A damage constitutive model for sliding friction coupled to wear. Contin. Mech. Thermodyn. 25(2-4), 503–522 (2013)
47. Luongo, A.: Mode localization in dynamics and buckling of linear imperfect continuous structures. Nonlinear Dyn. 25(1-3), 133–156 (2001)
48. Katz, J.L., Misra, A., Spencer, P., Wang, Y., Bumrerraj, S., Nomura, T., Eppell, S.J., Tabib-Azar, M.: Multiscale mechanics of hierarchical structure/property relationships in calcified tissues and tissue/material interfaces. Mater. Sci. Eng. C 27(3), 450–468 (2007)
49. Misra, A., Huang, S.: Micromechanics based stress-displacement relationships of rough contacts: numerical implementation under combined normal and shear loading. Comput. Model. Eng. Sci. 52(2), 197–215 (2009)
50. Yang, Y., Ching, W.Y., Misra, A.: Higher-order continuum theory applied to fracture simulation of nanoscale intergranular glassy film. J. Nanomech. Micromech. 1(2), 60–71 (2011)
51. Ferretti, M., Madeo, A., dell’Isola, F., Boisse, P.: Modeling the onset of shear boundary layers in fibrous composite reinforcements by second-gradient theory. Zeitschrift für ewandte Mathematik und Physik, 1–26. doi:10.1007/s00033-013-0347-8 (2013)
52. Madeo, A., Luca, P., Giuseppe, R.: Towards the design of meta-materials with enhanced damage sensitivity: second Gradient porous materials. Research in Nondestructive Evaluation. doi:10.1080/09349847.2013.853114 (2013)
53. Madeo, A., dell’Isola, F., Darve, F.: A continuum model for deformable, second gradient porous media partially saturated with compressible fluids. J Mech. Phys. Solids 61(11), 2196–2211 (2013)
54. dell’Isola, F., Madeo, A., Placidi, L.: Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua. ZAMM J. Appl. Math. Mechanics/Zeitschrift für ewandte Mathematik und Mechanik 92(1), 52–71 (2012)