Journal of Applied and Computational Mechanics
Structural Health Monitoring of Multi-Storey Frame Structures using Piezoelectric Incompatibility Filters: Theory and Numerical Verification
Document Type : Special Issue Paper
Authors
1 Institute of Technical Mechanics, Johannes Kepler University Linz, Altenberger Straße 69, A-4040 Linz, Austria
2 HBLA Francisco Josephinum Wieselburg, Schloss Weinzierl 1, A-3250 Wieselburg, Austria
Abstract
In the present paper, we develop a novel method for structural health monitoring of multi-storey frame structures with the capability to detect and localise local damage. The method uses so-called spatial incompatibility filters, which are continuously distributed strain-type sensors only sensitive to incompatibilities. In the first part of the paper the concept of incompatibility filters is introduced for multi-storey frame structures and it is shown how these filters can be used to detect and localise local cracks in frame structures. In the second part of the paper we study the use of incompatibility filters put into practice by piezoelectric sensor networks for structural health monitoring of a three-storey frame structure. The design of the piezoelectric sensor network is based on an analytical analysis of the frame structure within the framework of the method developed in the first part of the paper and a numerical verification using three-dimensional Finite Elements completes the paper
Keywords
- Structural Health Monitoring
- Frame Structures
- Incompatibility Filters
- Damage Detection and Localisation
- Piezoelectric Sensor Networks
- Numerical Verification
Main Subjects
[1] Crawley, E.F., Intelligent Structures for Aerospace: A Technology Overview and Assessment, AIAA Journal, 32(8), 1994, 1689–1699.
[2] Tani, J., Takagi, T., Qiu, J., Intelligent material systems: application of functional materials, Applied Mechanics Review, 51, 1998, 505–521.
[3] Liu, S.-C., Tomizuka, M., Ulsoy, G., Strategic Issues in Sensors and Smart Structures, Proceedings of the 3rd European Conference on Structural Control, July 2004, Vienna, Austria, 4 pages, 2004.
[4] Liu, S.-C., Tomizuka, M., Ulsoy, G., Challenges and Opportunities in the Engineering of Intelligent Structures, Smart Structures and Systems, 1(1), 2005, 1–12.
[5] Gabbert, U., Tzou, H.S., Preface, Proceedings of the IUTAM-Symposium on Smart Structures and Structronic Systems, September 2000, Magdeburg, Germany, 2001.
[6] Glaser, S.D., Shoureshi, R.A., Pescovitz, D., Frontiers in Sensors and Sensing Systems, Smart Structures and Systems, 1(1), 2005, 103–120.
[7] Gopinathan, S.V., Varadan, V.V., Varadan, V.K., Active Noise Control Studies Using the Rayleigh-Ritz Method, Proceedings of the IUTAM-Symposium on Smart Structures and Structronic Systems, September 2000, Magdeburg, Germany, 2001.
[8] Irschik, H., Krommer, M., Nader, M., Pichler, U., Dynamic piezoelectric shape control applied of shells of revolution with translatory support excitation, Proceedings of the US - Europe Workshop on Sensors and Smart Structures Technology, April 2002, Como, Italy, 2003.
[9] Alkhatib, R., Golnaraghi, M.F., Active Structural Vibration Control: A Review, The Shock and Vibration Digest, 35(5), 2003, 367–383.
[10] Zenz, G., Berger, W., Gerstmayr, J., Nader, M., Krommer, M., Design of piezoelectric transducer arrays for passive and active modal control of thin plates, Smart Structures and Systems, 12(5), 2013, 547–577.
[11] Lee, C.-K., Moon, F.C., Modal Sensors/Actuators, Journal of Applied Mechanics, 57(2), 1990, 434–441.
[12] Krommer, M., Irschik, H., Sensor and Actuator Design for Displacement Control of Continuous Systems, Smart Structures and Systems, 3(2), 2007, 147–172.
[13] Preumont, A., Francois, A., De Man, P., Loix, N., Henrioulle, K., Distributed sensors with piezoelectric films in design of spatial filters for structural control, Journal of Sound and Vibration, 282, 2005, 701–712.
[14] Krommer, M., Vetyukov, Yu., A novel damage detection method based on spatial compatibility filtering, Proceedings of 13th Mechatronics Forum International Conference (Mechatronics 2012), September 2012, Linz, Austria, 8 pages, 2012.
[15] Irschik, H., Krommer, M., Belyaev, A.K., Schlacher, K., Shaping of Piezoelectric Sensors/Actuators for Vibrations of Slender Beams: Coupled Theory and Inappropriate Shape Functions, Journal of Intelligent Materials Systems and Structures, 9, 1998, 546–554.
[16] Preumont, A., Francois, A., De Man, P., Piefort, V., Spatial filters in structural control, Journal of Sound and Vibration, 265, 2003, 61–79.
[17] Deraemaeker, A., Preumont, A., Vibration based damage detection using large array sensors and spatial filters, Mechanical Systems and Signal Processing, 20, 2006, 1615–1630.
[18] Tondreau, G., Deraemaeker, A., Spatial Filtering for Structural Health Monitoring, Encyclopedia of Earthquake Engineering, Springer, Berlin, Heidelberg, 2014.
[19] Deraemaeker, A., Worden, K., New Trends in Vibration Based Structural Health Monitoring, Springer, Vienna, 2010.
[20] Mendrok, K., Uhl, T., Maj, W., Packo, P., SHM system based on modal filtration, Key Engineering Materials, 518, 2012, 289–297.
[21] Mendrok, K., The Application of Spatial Filtration for Damage Detection in Structures with Multiple Poles, Proceedings of the 13th International Conference on Damage Assessment of Structures: DAMAS 2019, 9-10 July 2019, Porto, Portugal, Lecture Notes in Mechanical Engineering, Springer Nature, Singapore, 2020.
[22] Irschik, H., Krommer, M., Vetyukov, Yu., On the Use of Piezoelectric Sensors in Structural Mechanics: Some Novel Strategies, Sensors, 10, 2010, 5626–5641.
[23] Preumont, A., De Man, P., Francois, A., Loix, N., Henrioulle, K., Spatial Filtering with Discrete Array Sensors and Distributed PVDF Films, Advances in Smart Technologies in Structural Engineering, Computational Methods in Applied Sciences, 1, Springer, Berlin, Heidelberg, 2004.
[24] Qing, X., Li, W., Wang, Y., Sun, H., Piezoelectric Transducer-Based Structural Health Monitoring for Aircraft Applications, Sensors, 19, 545, 2019, 27 pages.
[25] B.F. Spencer, jr., M.E. Ruiz-Sandoval and N. Kurata, ”Smart Sensing Technology: Opportunities and challenges”, Structural Control and Health Monitoring, 11, 2004, pp. 349-368.
[26] Gupta, V., Sharma, M., Thakur, N., Optimization criteria for optimal placement of piezoelectric sensors and actuators on a smart structure: a technical review, Journal of Intelligent Material Systems and Structures, 21, 2010, 1227–1243.
[27] Porn, S., Nasser, H., Coelho, R.F., Belouettar, S., Deraemaeker, A., Level set based structural optimization of distributed piezoelectric modal sensors for plate structures, International Journal of Solids and Structures, 80, 2016, 348–358.
[28] Wildy, S., Koutousov, A., Codrington, J., A new passive defect detection technique based on the principle of strain compatibility, Smart Materials and Structures, 17(4), 2008, 045004.
[29] Wildy, S., Codrington, J., An Algorithm for Identifying a Crack Within a Measured Displacement Field, Journal of Nondestructive Evaluation, 36, 37, 2017, 10 pages.
[30] Krommer, M., Zellhofer, M., Design of piezoelectric sensor networks for structural monitoring of frame structures, CD-Rom Proceedings of COMPDYN 2009 - ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, June / July 2009, Rhodes, Greece, 8 pages, 2012.
[31] Krommer, M., Zellhofer, M., Piezoelectric sensor networks for structural and health monitoring of multi-storey frame structures: Numerical and experimental verification, Proceedings of the 5th European Workshop on Structural Health Monitoring, June / July 2010, Sorrento, Italy, 634–640, 2010.
[32] Krommer, M., Zellhofer, M., Numerical and experimental verification of piezoelectric sensor networks for health monitoring and control of frame structures, Proceedings of the 4th International Conference on Experimental Vibration Analysis for Civil Engineering Structures (EVACES 2011), October 2011, Varenna, Italy, 585–592, 2011.
[33] Caddemi, S., Calio, I., Exact solution of the multi-cracked Euler-Bernoulli column, International Journal of Solids and Structures, 45, 2008, 1332–1351.
[34] Ziegler, F., Introduction to the Mechanics of a Continuous Medium, Springer, New York, 1995.
[35] Krenk, S., Høgsberg, J., Statics and Mechanics of Structures, Springer, Dordrecht, 2013.
[36] Malvern, L.E., Mechanics of Solids and Fluids, Prentice-Hall, Englewood Cliffs, N.J., 1969.
[37] Gurtin, M.E., The Linear Theory of Elasticity, Linear Theories of Elasticity and Thermoelasticity, Springer, Berlin, Heidelberg, 1973.
[38] Krommer, M., Irschik, H., Design of Piezoelectric Sensors for Structural and Health Monitoring based on the Principle of Virtual Work, Advanced Materials Research, 745, 2013, 73–87.
[39] Ostachowicz, W.M., Krawczuk, C., Analysis of the effect of cracks on the natural frequencies of a cantilever beam, Journal of Sound and Vibration, 150(2), 1991, 191–201.
[40] Deraemaeker, A., Reynders, E., De Roeck, G., Kullaa, J., Vibration-based structural health monitoring using output-only measurements under changing environment, Mechanical Systems and Signal Processing, 22(1), 2008, 34–56.
[41] Farrar, C.R., Worden, K., An introduction to structural health monitoring, Philosophical Transactions of the Royal Society A, 365, 2006, 303–315.
[42] Krommer, M., Zellhofer, M., Heilbrunner, K.-H., Strain-type sensor networks for structural monitoring of beam-type structures, Journal of Intelligent Material Systems & Structures, 20, 2009, 1875–1888.
[43] Krommer, M., On the correction of the Bernoulli-Euler beam theory for smart piezoelectric beams, Smart Materials and Structures, 10(4), 2001, 668–680.
[2] Tani, J., Takagi, T., Qiu, J., Intelligent material systems: application of functional materials, Applied Mechanics Review, 51, 1998, 505–521.
[3] Liu, S.-C., Tomizuka, M., Ulsoy, G., Strategic Issues in Sensors and Smart Structures, Proceedings of the 3rd European Conference on Structural Control, July 2004, Vienna, Austria, 4 pages, 2004.
[4] Liu, S.-C., Tomizuka, M., Ulsoy, G., Challenges and Opportunities in the Engineering of Intelligent Structures, Smart Structures and Systems, 1(1), 2005, 1–12.
[5] Gabbert, U., Tzou, H.S., Preface, Proceedings of the IUTAM-Symposium on Smart Structures and Structronic Systems, September 2000, Magdeburg, Germany, 2001.
[6] Glaser, S.D., Shoureshi, R.A., Pescovitz, D., Frontiers in Sensors and Sensing Systems, Smart Structures and Systems, 1(1), 2005, 103–120.
[7] Gopinathan, S.V., Varadan, V.V., Varadan, V.K., Active Noise Control Studies Using the Rayleigh-Ritz Method, Proceedings of the IUTAM-Symposium on Smart Structures and Structronic Systems, September 2000, Magdeburg, Germany, 2001.
[8] Irschik, H., Krommer, M., Nader, M., Pichler, U., Dynamic piezoelectric shape control applied of shells of revolution with translatory support excitation, Proceedings of the US - Europe Workshop on Sensors and Smart Structures Technology, April 2002, Como, Italy, 2003.
[9] Alkhatib, R., Golnaraghi, M.F., Active Structural Vibration Control: A Review, The Shock and Vibration Digest, 35(5), 2003, 367–383.
[10] Zenz, G., Berger, W., Gerstmayr, J., Nader, M., Krommer, M., Design of piezoelectric transducer arrays for passive and active modal control of thin plates, Smart Structures and Systems, 12(5), 2013, 547–577.
[11] Lee, C.-K., Moon, F.C., Modal Sensors/Actuators, Journal of Applied Mechanics, 57(2), 1990, 434–441.
[12] Krommer, M., Irschik, H., Sensor and Actuator Design for Displacement Control of Continuous Systems, Smart Structures and Systems, 3(2), 2007, 147–172.
[13] Preumont, A., Francois, A., De Man, P., Loix, N., Henrioulle, K., Distributed sensors with piezoelectric films in design of spatial filters for structural control, Journal of Sound and Vibration, 282, 2005, 701–712.
[14] Krommer, M., Vetyukov, Yu., A novel damage detection method based on spatial compatibility filtering, Proceedings of 13th Mechatronics Forum International Conference (Mechatronics 2012), September 2012, Linz, Austria, 8 pages, 2012.
[15] Irschik, H., Krommer, M., Belyaev, A.K., Schlacher, K., Shaping of Piezoelectric Sensors/Actuators for Vibrations of Slender Beams: Coupled Theory and Inappropriate Shape Functions, Journal of Intelligent Materials Systems and Structures, 9, 1998, 546–554.
[16] Preumont, A., Francois, A., De Man, P., Piefort, V., Spatial filters in structural control, Journal of Sound and Vibration, 265, 2003, 61–79.
[17] Deraemaeker, A., Preumont, A., Vibration based damage detection using large array sensors and spatial filters, Mechanical Systems and Signal Processing, 20, 2006, 1615–1630.
[18] Tondreau, G., Deraemaeker, A., Spatial Filtering for Structural Health Monitoring, Encyclopedia of Earthquake Engineering, Springer, Berlin, Heidelberg, 2014.
[19] Deraemaeker, A., Worden, K., New Trends in Vibration Based Structural Health Monitoring, Springer, Vienna, 2010.
[20] Mendrok, K., Uhl, T., Maj, W., Packo, P., SHM system based on modal filtration, Key Engineering Materials, 518, 2012, 289–297.
[21] Mendrok, K., The Application of Spatial Filtration for Damage Detection in Structures with Multiple Poles, Proceedings of the 13th International Conference on Damage Assessment of Structures: DAMAS 2019, 9-10 July 2019, Porto, Portugal, Lecture Notes in Mechanical Engineering, Springer Nature, Singapore, 2020.
[22] Irschik, H., Krommer, M., Vetyukov, Yu., On the Use of Piezoelectric Sensors in Structural Mechanics: Some Novel Strategies, Sensors, 10, 2010, 5626–5641.
[23] Preumont, A., De Man, P., Francois, A., Loix, N., Henrioulle, K., Spatial Filtering with Discrete Array Sensors and Distributed PVDF Films, Advances in Smart Technologies in Structural Engineering, Computational Methods in Applied Sciences, 1, Springer, Berlin, Heidelberg, 2004.
[24] Qing, X., Li, W., Wang, Y., Sun, H., Piezoelectric Transducer-Based Structural Health Monitoring for Aircraft Applications, Sensors, 19, 545, 2019, 27 pages.
[25] B.F. Spencer, jr., M.E. Ruiz-Sandoval and N. Kurata, ”Smart Sensing Technology: Opportunities and challenges”, Structural Control and Health Monitoring, 11, 2004, pp. 349-368.
[26] Gupta, V., Sharma, M., Thakur, N., Optimization criteria for optimal placement of piezoelectric sensors and actuators on a smart structure: a technical review, Journal of Intelligent Material Systems and Structures, 21, 2010, 1227–1243.
[27] Porn, S., Nasser, H., Coelho, R.F., Belouettar, S., Deraemaeker, A., Level set based structural optimization of distributed piezoelectric modal sensors for plate structures, International Journal of Solids and Structures, 80, 2016, 348–358.
[28] Wildy, S., Koutousov, A., Codrington, J., A new passive defect detection technique based on the principle of strain compatibility, Smart Materials and Structures, 17(4), 2008, 045004.
[29] Wildy, S., Codrington, J., An Algorithm for Identifying a Crack Within a Measured Displacement Field, Journal of Nondestructive Evaluation, 36, 37, 2017, 10 pages.
[30] Krommer, M., Zellhofer, M., Design of piezoelectric sensor networks for structural monitoring of frame structures, CD-Rom Proceedings of COMPDYN 2009 - ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, June / July 2009, Rhodes, Greece, 8 pages, 2012.
[31] Krommer, M., Zellhofer, M., Piezoelectric sensor networks for structural and health monitoring of multi-storey frame structures: Numerical and experimental verification, Proceedings of the 5th European Workshop on Structural Health Monitoring, June / July 2010, Sorrento, Italy, 634–640, 2010.
[32] Krommer, M., Zellhofer, M., Numerical and experimental verification of piezoelectric sensor networks for health monitoring and control of frame structures, Proceedings of the 4th International Conference on Experimental Vibration Analysis for Civil Engineering Structures (EVACES 2011), October 2011, Varenna, Italy, 585–592, 2011.
[33] Caddemi, S., Calio, I., Exact solution of the multi-cracked Euler-Bernoulli column, International Journal of Solids and Structures, 45, 2008, 1332–1351.
[34] Ziegler, F., Introduction to the Mechanics of a Continuous Medium, Springer, New York, 1995.
[35] Krenk, S., Høgsberg, J., Statics and Mechanics of Structures, Springer, Dordrecht, 2013.
[36] Malvern, L.E., Mechanics of Solids and Fluids, Prentice-Hall, Englewood Cliffs, N.J., 1969.
[37] Gurtin, M.E., The Linear Theory of Elasticity, Linear Theories of Elasticity and Thermoelasticity, Springer, Berlin, Heidelberg, 1973.
[38] Krommer, M., Irschik, H., Design of Piezoelectric Sensors for Structural and Health Monitoring based on the Principle of Virtual Work, Advanced Materials Research, 745, 2013, 73–87.
[39] Ostachowicz, W.M., Krawczuk, C., Analysis of the effect of cracks on the natural frequencies of a cantilever beam, Journal of Sound and Vibration, 150(2), 1991, 191–201.
[40] Deraemaeker, A., Reynders, E., De Roeck, G., Kullaa, J., Vibration-based structural health monitoring using output-only measurements under changing environment, Mechanical Systems and Signal Processing, 22(1), 2008, 34–56.
[41] Farrar, C.R., Worden, K., An introduction to structural health monitoring, Philosophical Transactions of the Royal Society A, 365, 2006, 303–315.
[42] Krommer, M., Zellhofer, M., Heilbrunner, K.-H., Strain-type sensor networks for structural monitoring of beam-type structures, Journal of Intelligent Material Systems & Structures, 20, 2009, 1875–1888.
[43] Krommer, M., On the correction of the Bernoulli-Euler beam theory for smart piezoelectric beams, Smart Materials and Structures, 10(4), 2001, 668–680.
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