Structural and Crack Parameter Identification on Structures Using Observer Kalman Filter Identification/Eigen System Realization Algorithm

Journal of Solid Mechanics

مقاله 6، دوره 13، شماره 1، خرداد 2021، صفحه 68-79   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2020.1875643.1475

نویسندگان

P Nandakumar^* ؛ J Jacob

Mechanical Engineering SRM, Institute of Science and Technology Chennai, India

چکیده

Structural and crack parameters in a continuous mass model are identified using Observer Kalman filter Identification (OKID) and Eigen Realization Algorithm (ERA). Markov parameters are extracted from the input and out responses from which the state space model of the structural system is determined using Hankel matrix and singular value decomposition by Eigen Realization algorithm. The structural parameters are identified from the state space model. This method is applied to a lumped mass system and a cantilever which are excited with a harmonic excitation at its free end and the acceleration responses at all nodes are measured. The stiffness and damping parameters are identified from the extracted matrices using Newton-Raphson method on the structure. Later, cracks are introduced in the cantilever and all structural parameters are assumed as known priori, the unknown crack parameters such as normalized crack depth and its location are identified using OKID/ERA. The parameters extracted by using this algorithm are compared with other structural identification methods available in the literature. The main advantage of this algorithm is good accuracy of identified structural parameters.

کلیدواژه‌ها

Observer kalman filter identification؛ Eigen realization؛ Markov parameters؛ Newton-raphson؛ Structural identification

مراجع

[1] Chou J.-H., Ghaboussi J., 2001, Genetic algorithm in structural damage detection, Computers & Structures 79(14): 1335- 1353.
[2] Doebling S.W., Farrar C.R., Prime M.B., 1998, A summary review of vibration-based damage identification methods, The Shock and Vibration Digest 30: 91-105.
[3] Gounaris G., Dimarogonas A., 1988, A finite element of a cracked prismatic beam for structural analysis, Computers & Structures 28(3): 309-313.
[4] Jacob V.J., Nandakumar P., 2016, Structural identification on beam structures using OKID/ER algorithm, Proceedings of Sixth International Congress on Computational Mechanics and Simulation (ICCMS2016), IIT Bombay.
[5] Jer-Nan J., Minh P., Horta L.G., Longman R.W., 1993, Identification of observer/Kalman filter Markov parameters -theory and experiments, Journal of Guidance, Control, and Dynamics 16(2): 320-329.
[6] Juang J.N., Pappa R.S., 1985, An eigen system realization algorithm for modal parameter identification and model education, Journal of Guidance Control and Dynamics 8(5): 620-627.
[7] Koh C.G., Hong B., Liaw C.Y., 2003, Substructural and progressive structural identification methods, Engineering Structures 25: 1551-1563.
[8] Krawczuk M., Zak A., Ostachowicz W., 2000, Elastic beam finite element with a transverse elasto-plastic crack, Finite Elements in Analysis and Design 34(1): 61-73.
[9] Lee J., 2009, Identification of multiple cracks in a beam using natural frequencies, Journal of Sound and Vibration 320(3): 482-490.
[10] Lee Y.-S., Chung M.-J., 2000, A study on crack detection using eigen frequency test data, Computers& Structures 77(3): 327-342.
[11] Nandakumar P., Shankar K., 2015, Structural crack damage detection using transfer matrix and state vector,
Measurement 68: 310-327.
[12] Parhi D.R., Das H., 2008, Smart crack detection of a beam using fuzzy logic controller, International Journal of Computational Intelligence Theory and Practice 3(1): 9-21.
[13] Qian G.-L., Gu S.-N., Jiang J.-S., 1990, The dynamic behaviour and crack detection of a beam with a crack, Journal of Sound and Vibration 138(2): 233-243.
[14] Suh M.-W., Shim M.-B., Kim M.-Y., 2000, Crack identification using hybrid neuro-genetic technique, Journal of Sound and Vibration 238(4): 617-635.
[15] Tee K.F., Koh C.G., Quek S.T., 2005, Substructural first- and second-order model identification for structural damage assessment, Earthquake Engineering and Structural Dynamics 34: 1755-1775.
[16] Vakil-Baghmisheh M.-T., Peimani M., Sadeghi M. H., Ettefagh M. M., 2008, Crack detection in beam-like structures using genetic algorithms, Applied Soft Computing 8(2): 1150-1160.
[17] Varghese C.K., Shankar K., 2012, Crack identification using combined power flow and acceleration matching technique, Inverse Problems in Science and Engineering 20(8): 1239-1257.
[18] Viola E., Federici L., Nobile L., 2001, Detection of crack location using cracked beam element method for structural analysis, Theoretical and Applied Fracture Mechanics 36(1): 23-35.
[19] Viola E., Nobile L., Federici L., 2002, Formulation of cracked beam element for structural analysis, Journal of Engineering Mechanics 128(2): 220-230.