Effect of Localized Damages on the Free Vibration Analysis of Civil Structures by Component-Wise Approach
Publication: Journal of Structural Engineering
Volume 144, Issue 8
Abstract
Refined one-dimensional (1D) models are used to carry out free vibration analysis of civil engineering structures affected by local damages. The Carrera unified formulation (CUF) provides higher-order structural models to be formulated in a compact and, eventually, hierarchical manner. In the domain of the CUF, refined 1D models characterized by three-dimensional capabilities can be realized by using various function expansions of the generalized displacement field over the cross section. Recently, a component-wise (CW) approach was introduced by using CUF. CW gives a detailed physical description of multicomponent structures, since each component can be modeled with its geometrical and mechanical characteristics; that is, no reference surfaces, axes, or homogenization techniques are used. In the present work, combinations of quadratic Lagrange elements are used to describe the beam theory kinematics. This approach enables the highly-accurate analysis of complex civil structures such as truss structures, industrial buildings, and a multifloor building. In this context, damage scenarios are introduced with no loss of accuracy in the mathematical formulation by deteriorating the single component of the structure. Effects of damages are, thus, evaluated by free vibration analyses.
Get full access to this article
View all available purchase options and get full access to this article.
References
Allemang, R. J., and D. L. Brown. 1982. “A correlation coefficient for modal vector analysis.” In Proc., 1st SEM Int. Modal Analysis Conf., 110–116. Bethel, CT.
Berdichevsky, V. L., E. Armanios, and A. Badir. 1992. “Theory of anisotropic thin-walled closed-cross-section beams.” Compos. Eng. 2 (5–7): 411–432. https://doi.org/10.1016/0961-9526(92)90035-5.
Capozucca, R. 2014. “Vibration of CF0052P cantilever beam with damage.” Compos. Struct. 116: 211–222. https://doi.org/10.1016/j.compstruct.2014.04.027.
Carrera, E. 1995. “A class of two-dimensional theories for multilayered plates analysis.” Atti Accademia delle Scienze di Torino, Memorie Scienze Fisiche 19–20: 49–87.
Carrera, E. 2002. “Theories and finite elements for multilayered, anisotropic, composite plates and shells.” Arch. Comput. Methods Eng. 9 (2): 87–140. https://doi.org/10.1007/BF02736649.
Carrera, E. 2003. “Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking.” Arch. Comput. Methods Eng. 10 (3): 215–296. https://doi.org/10.1007/BF02736224.
Carrera, E., M. Cinefra, M. Petrolo, and E. Zappino. 2014a. Finite element analysis of structures through unified formulation. Chichester, UK: Wiley.
Carrera, E., and G. Giunta. 2010. “Refined beam theories based on a unified formulation.” Int. J. Appl. Mech. 2 (1): 117–143. https://doi.org/10.1142/S1758825110000500.
Carrera, E., G. Giunta, and M. Petrolo. 2011. Beam structures, classical and advanced theories. Hoboken, NJ: Wiley.
Carrera, E., A. Pagani, and M. Petrolo. 2013a. “Classical, refined, and component-wise analysis of reinforced-shell wing structures.” AIAA J. 51 (5): 1255–1268. https://doi.org/10.2514/1.J052331.
Carrera, E., A. Pagani, and M. Petrolo. 2013b. “Component-wise method applied to vibration of wing structures.” J. Appl. Mech. 80 (4): 041012. https://doi.org/10.1115/1.4007849.
Carrera, E., A. Pagani, and M. Petrolo. 2014b. “Free vibration analysis of civil engineering structures by component-wise models.” J. Sound Vib. 333 (19): 4597–4620. https://doi.org/10.1016/j.jsv.2014.04.063.
Carrera, E., A. Pagani, and M. Petrolo. 2015a. “Refined 1D finite elements for the analysis of secondary, primary, and complete civil engineering structures.” J. Struct. Eng. 141 (4): 04014123. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001076.
Carrera, E., A. Pagani, and M. Petrolo. 2016. “Free vibration of damaged aircraft structures by component-wise analysis.” AIAA J. 54 (10): 3091–3106. https://doi.org/10.2514/1.J054640.
Carrera, E., A. Pagani, M. Petrolo, and E. Zappino. 2015b. “Recent developments on refined theories for beams with applications.” Mech. Eng. Rev. Bull. Jpn. Soc. Mech. Eng. JSME 2 (2): 14–00298. https://doi.org/10.1299/mer.14-00298.
Carrera, E., and E. Zappino. 2016. “Carrera unified formulation for free-vibration analysis of aircraft structures.” AIAA J. 54 (1): 280–292. https://doi.org/10.2514/1.J054265.
Carrera, E., E. Zappino, and T. Cavallo. 2015c. “Accurate free vibration analysis of launcher structures using refined 1D models.” Int. J. Aeronaut. Space Sci. (IJASS) 16 (2): 206–222. https://doi.org/10.5139/IJASS.2015.16.2.206.
Carrera, E., E. Zappino, and T. Cavallo. 2017. “Effect of solid mass consumption on the free-vibration analysis of launchers.” J. Spacecraft Rockets (AIAA) 54 (3): 773–780. https://doi.org/10.2514/1.A33650.
Cavallo, T., E. Zappino, and E. Carrera. 2017. “Component-wise vibration analysis of stiffened plates accounting for stiffener modes.” CEAS Aeronaut. J. 8 (2): 385–412. https://doi.org/10.1007/s13272-017-0244-5.
Cavallo, T., E. Zappino, and E. Carrera. 2018. “Free vibration analysis of space vehicle structures made by composite materials.” Compos. Struct. 183: 53–62. https://doi.org/10.1016/j.compstruct.2017.01.010.
Doebling, S., and C. R. Farrar. 1997. “Using statistical analysis to enhance modal-based damage identification.” In Structural damage assessment using advanced signal processing procedures, edited by J. M. Dulieu, W. J. Staszewski, and K. Worden, 199–212. Sheffield, UK: Sheffield Academic Press.
El Fatmi, R. 2007. “Nonuniform warping including the effects of torsion and shear forces. Part I: A general beam theory.” Int. J. Solids Struct. 44 (18–19): 5912–5929. https://doi.org/10.1016/j.ijsolstr.2007.02.006.
Euler, L. 1744. “De curvis elasticis.” In Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis iso-perimetrici lattissimo sensu accepti. Geneva, Switzerland: Bousquet.
Kapania, R. K., and S. Raciti. 1989a. “Recent advances in analysis of laminated beams and plates. Part II—Vibrations and wave propagation.” AIAA J. 27 (7): 935–946. https://doi.org/10.2514/3.5990910.
Kapania, R. K., and S. Raciti. 1989b. “Recent advances in analysis of laminated beams and plates. Part I—Shear effects and buckling.” AIAA J. 27 (7): 923–935. https://doi.org/10.2514/3.10202.
Kiremidjian, A. S., E. G. Straser, T. Meng, K. Law, and H. Sohn. 1997. “Structural damage monitoring for civil structures.” In Structural health monitoring: Current status and perspectives, 371–382. Lancaster, UK: Technomic.
Labib, A., D. Kennedy, and C. Featherston. 2014. “Free vibration analysis of beams and frames with multiple cracks for damage detection.” J. Sound Vib. 333 (20): 4991–5003. https://doi.org/10.1016/j.jsv.2014.05.015.
Nguyen, K. 2014. “Mode shapes analysis of a cracked beam and its application for crack detection.” J. Sound Vib. 333 (3): 848–872. https://doi.org/10.1016/j.jsv.2013.10.006.
Pérez, M., L. Gil, M. Sánchez, and S. Oller. 2014. “Comparative experimental analysis of the effect caused by artificial and real induced damage in composite laminates.” Compos. Struct. 112: 169–178. https://doi.org/10.1016/j.compstruct.2014.02.017.
Petrolo, M., E. Carrera, and A. S. A. S. Alawami. 2016. “Free vibration analysis of damaged beams via refined models.” Adv. Aircr. Spacecraft Sci. 3 (1): 95–112. https://doi.org/10.12989/aas.2016.3.1.095.
Pirner, M., and O. Fisher. 1997. “Monitoring stress in the GRP extension of the Prague TV tower.” In Structural damage assessment using advanced signal processing procedures, edited by J. M. Dulieu, W. J. Staszewski, and K. Worden, 451–460. Sheffield, UK: Sheffield Academic Press.
Pollayi, H., and W. Yu. 2014. “Modeling matrix cracking in composite rotor blades within VABS framework.” Compos. Struct. 110: 62–76. https://doi.org/10.1016/j.compstruct.2013.11.012.
Schardt, R. 1989. Verallgemeinerte technische biegetheorie. Berlin: Springer.
Silvestre, N., and D. Camotim. 2002. “First-order generalised beam theory for arbitrary orthotropic materials.” Thin-Walled Struct. 40 (9): 791–820. https://doi.org/10.1016/S0263-8231(02)00026-5.
Sokolnikoff, I. S. 1956. Mathematical theory of elasticity. New York, NY: McGraw-Hill.
Timoshenko, S. P., and J. N. Goodier. 1970. Theory of elasticity. Auckland, New Zealand: McGraw-Hill.
Wang, Y., M. Liang, and J. Xiang. 2014. “Damage detection method for wind turbine blades based on dynamics analysis and mode shape difference curvature information.” Mech. Syst. Signal Process. 48 (1–2): 351–367. https://doi.org/10.1016/j.ymssp.2014.03.006.
Wu, X., J. Ghaboussi, and J. Garrett. 1992. “Use of neutral networks in detection of structural damage.” Comput. Struct. 42 (4): 649–659. https://doi.org/10.1016/0045-7949(92)90132-J.
Yu, W., V. V. Volovoi, D. H. Hodges, and X. Hong. 2002. “Validation of the variational asymptotic beam sectional analysis.” AIAA J. 40 (10): 2105–2112. https://doi.org/10.2514/2.1545.
Zhang, Z., K. Shankar, E. Morozov, and M. Tahtali. 2016. “Vibration-based delamination detection in composite beams through frequency changes.” J. Vib. Control 22 (2): 496–512. https://doi.org/10.1177/1077546314533584.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 144 • Issue 8 • August 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Apr 20, 2017
Accepted: Mar 2, 2018
Published online: May 31, 2018
Published in print: Aug 1, 2018
Discussion open until: Oct 31, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.