An input–output damage detection method using static equivalent formulation of dynamic vibration
Wybrane pełne teksty z tego czasopisma
In this study, a new damage detection method is developed which directly uses input–output data of a forced vibration of a structure. For this, the dynamic vibration formulation of an FE model has been integrated within the time domain of the vibration of the structure. Also, the static condensation scheme is used to reduce required measured degrees of freedom (DOF's). Hence, the main characteristic of the proposed method is that it just uses translational time history response of a structure at specified nodes corresponding to the finite element model of that structure. Also, the only required data from the original FE model of the structure is its stiffness matrix. To assess the capability of the proposed method in damage detection in beam type structures a cantilever beam is studied. Not only can the method locate damaged elements, but also the quantity of damage in every damaged element is computed successfully. Also, it has been shown that as the frequency of the applied load in simulated experiment approaches to the first natural frequency of the beam, the accuracy dwindles significantly. Hence, for obtaining more reliable results, the frequency of the applied load shall be far enough from the first natural frequency of the free vibration of the beam. The results demonstrate that the integrated displacements in specified nodes through the time of vibration carry enough information about damages in elements and the proposed method can be successfully used for damage detection in beam type structures.
Bibliogr. 11 poz., tab., wykr.
-  Y.J. Yan, L. Cheng, Z.Y. Wu, L.H. Yam, Development in vibration-based structural damage detection technique, Mechanical Systems and Signal Processing 21 (2007) 2198–2211.
-  G.H. James, T.G. Carne, J.P. Lauffer, A.R. Nord, Modal testing using natural excitation, in: Proceedings of the 10th International Modal Analysis Conference, vol. 205(1), 1997, 1–18.
-  C.R. Farrar, C.H. James III, System identification from ambient vibration measurements on a bridge, Journal of Sound and Vibration 205 (3) (1997) 1–18.
-  N. Fallah, M. Mousavi, Using the frequency shifts for damage detection in beam type structures, Australian Journal of Basic and Applied Sciences 5 (8) (2011) 659666, ISSN 1991-8178.
-  Q.W. Yang, A numerical technique for structural damage detection, Applied Mathematics and Computation 215 (2009) 2775–2780.
-  S. Weng, H.P. Zhu, Y. Xia, L. Mao, Damage detection using the eigen-parameter decomposition of sub-structural flexibility matrix, Mechanical Systems and Signal Processing 34 (2013) 19–38.
-  X.Y. Li, S.S. Law, Matrix of the covariance of covariance of acceleration responses for damage detection from ambient vibration measurements, Mechanical Systems and Signal Processing 24 (2010) 945–956.
-  K. Jarczewska, P. Koszela, P. Sniady, A. Korzec, Identification of the structure parameters using short-time non-stationary stochastic excitation, Journal of Sound and Vibration 330 (2011) 3352–3367.
-  N. Fallah, M. Mousavi, An inverse approach for the calculation of flexibility coefficient of open-side cracks in beam type structures, Structural Engineering and Mechanics 41 (2) (2012) 285–297.
-  M. Mousavi, A.H. Gandomi, A hybrid damage detection method using dynamic reduction transformation matrix and modal force error, Engineering Structures 111 (2016) 425–434.
-  M. Kurata, J.-H. Kim, J.P. Lynch, A probabilistic model updating algorithm for fatigue damage detection in aluminum hull structures, in: Proceedings of the ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Philadelphia, Pennsylvania, USA, 2010.
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018)