DOI QR코드

DOI QR Code

Identification of impact forces on composite structures using an inverse approach

  • Hu, Ning (Department of Engineering Mechanics, Chongqing University, Department of Aerospace Engineering, Tohoku University) ;
  • Matsumoto, Satoshi (Department of Aerospace Engineering, Tohoku University) ;
  • Nishi, Ryu (Department of Aerospace Engineering, Tohoku University) ;
  • Fukunaga, Hisao (Department of Aerospace Engineering, Tohoku University)
  • 투고 : 2006.04.10
  • 심사 : 2007.04.26
  • 발행 : 2007.11.10

초록

In this paper, an identification method of impact force is proposed for composite structures. In this method, the relation between force histories and strain responses is first formulated. The transfer matrix, which relates the strain responses of sensors and impact force information, is constructed from the finite element method (FEM). Based on this relation, an optimization model to minimize the difference between the measured strain responses and numerically evaluated strain responses is built up to obtain the impact force history. The identification of force history is performed by a modified least-squares method that imposes the penalty on the first-order derivative of the force history. Moreover, from the relation of strain responses and force history, an error vector indicating the force location is defined and used for the force location identification. The above theory has also been extended into the cases when using acceleration information instead of strain information. The validity of the present method has been verified through two experimental examples. The obtained results demonstrate that the present approach works very well, even when the internal damages in composites happen due to impact events. Moreover, this method can be used for the real-time health monitoring of composite structures.

키워드

참고문헌

  1. Akhavan, F. and Watkins, S.E. et al. (2000), 'Prediction of impact contact forces of composite plates using fiber optic sensors and neural networks', Mech. Compos. Mater. Struct., 7, 195-205 https://doi.org/10.1080/107594100305375
  2. Choi, K. and Chang, F.K. (1996), 'Identification of impact force and location using distributed sensors', AIAA J., 34, 136-142 https://doi.org/10.2514/3.13033
  3. Doyle, J.F. (1984), 'An experimental method for determining the dynamic contact law', Exp. Mech., 24, 10-16 https://doi.org/10.1007/BF02323199
  4. Doyle, J.F. (1987), 'Experimentally determining the contact force during the transverse impact of an orthotropic plate', J. Sound Vib., 118, 441-448 https://doi.org/10.1016/0022-460X(87)90363-4
  5. Duan, S.H. and Ye, T.Q. (2002), 'Three-dimensional frictional dynamic contact analysis for predicting low-velocity impact damage in composite laminates', Adv. Eng. Softw., 33, 9-15 https://doi.org/10.1016/S0965-9978(01)00047-3
  6. Fukunaga, H. and Hu, N. (2004), 'Health monitoring of composite structures based on impact force identification', Proceeding of the Second European Workshop, Structural Health Monitoring, Edited by C. Boller and W.J. Straszewski, 415-422
  7. Geubelle, P.H. and Baylor, J.S. (1998), 'Impact-induced delamination of composites: a 2D simulation', Composites: Part B, 29B, 589-602
  8. Guinard, S. and Allix, O. et al. (2002), 'A 3D damage analysis of low-velocity impacts on laminated composites', Compos. Sci. Technol., 62, 585-589 https://doi.org/10.1016/S0266-3538(01)00153-1
  9. Hu, N. and Fukunaga, H. et al. (1999), 'Compressive buckling of laminates with an embedded delamination', Compos. Sci. Technol., 59, 1247-1260 https://doi.org/10.1016/S0266-3538(98)00166-3
  10. Inoue, H. and Watanabe, R. et al. (1988), 'Measurement of impact force by the deconvolution method (part-a)', J. JPN Soc. Non-Destructive Inspection, 34, 337-342
  11. Inoue, H. and Watanabe, R. et al. (1988), 'Measurement of impact force applied to a plate by the deconvolution method (part-b)', J. JPN Soc. Non-Destructive Inspection, 37, 874-878
  12. Li, C.F. and Hu, N. et al. (2002), 'Low-velocity impact-induced damage of continuous fiber-reinforced composite laminates. Part I. An FEM numerical model', Composites: Part A, 33, 1055-1061 https://doi.org/10.1016/S1359-835X(02)00081-7
  13. Li, C.F. and Hu, N. et al. (2002), 'Low-velocity impact-induced damage of continuous fiber-reinforced composite laminates. Part II. Verification and numerical investigation', Composites: Part A, 33, 1063-1072 https://doi.org/10.1016/S1359-835X(02)00078-7
  14. Shaw, J.K. and Sirkis, J.S. et al. (1995), 'Model of transverse plate impact dynamics for design of impact detection methodologies', AIAA J., 33, 1327-1335 https://doi.org/10.2514/3.12553
  15. Shin, E.S. (2000), 'Real-time recovery of impact force based on finite element analysis', Compos. Struct., 76, 621-627 https://doi.org/10.1016/S0045-7949(99)00131-5
  16. Vanderplaats, G.N. and Sugimoto, H. (1986), 'A general purpose optimization program for engineering design', Comput. Struct., 24, 13-21 https://doi.org/10.1016/0045-7949(86)90331-7
  17. Wang, C.S. and Chang, F.K. (1999), 'Built-in diagnostics for impact damage identification of composite structures', Structural Health Monitoring 2000, Stanford, 1999, Edited by F.K. Chang (Stanford University, 1999), 612-621
  18. Wang, J.T.S. and Cheng, S.H. et al. (1995), 'Local buckling of delaminated beams and plates using continuous analysis', J. Compos. Mater., 29, 1374-1402 https://doi.org/10.1177/002199839502901007
  19. Wu, E. and Yeh, J.C. et al. (1994), 'Identification of impact forces at multiple locations on laminated plates', AIAA J., 32, 2433-2439 https://doi.org/10.2514/3.12310
  20. Yen, C.S. and Wu, E. (1995), 'On inverse problem of rectangular plates subjected to elastic impact, Part I: method development and numerical verification', J. Appl. Mech., 62, 692-698 https://doi.org/10.1115/1.2896002
  21. Yen, C.S. and Wu, E. (1995), 'On inverse problem of rectangular plates subjected to elastic impact, Part II: experimental verification and further application', J. Appl. Mech., 62, 699-705 https://doi.org/10.1115/1.2896003

피인용 문헌

  1. The identification of the cylindrical defect position and size by measuring the radiated sound pressure on the plane 2017, https://doi.org/10.1007/s00707-017-2023-0
  2. Low-Cost Impact Detection and Location for Automated Inspections of 3D Metallic Based Structures vol.15, pp.12, 2015, https://doi.org/10.3390/s150612651
  3. Impact energy identification on a composite plate using basis vectors vol.24, pp.9, 2015, https://doi.org/10.1088/0964-1726/24/9/095007
  4. Piezoresistive Strain Sensors Made from Carbon Nanotubes Based Polymer Nanocomposites vol.11, pp.12, 2011, https://doi.org/10.3390/s111110691
  5. Reconstruction and Analysis of Impact Forces on a Steel-Beam-Reinforced Concrete Deck vol.56, pp.9, 2016, https://doi.org/10.1007/s11340-016-0188-4
  6. Impact localization and energy quantification based on the power flow: A low-power requirement approach vol.330, pp.13, 2011, https://doi.org/10.1016/j.jsv.2011.01.013
  7. Identification of impact force acting on composite laminated plates using the radiated sound measured with microphones vol.405, 2017, https://doi.org/10.1016/j.jsv.2017.06.009
  8. Impact damage monitoring of FRP pressure vessels based on impact force identification vol.23, pp.5-6, 2014, https://doi.org/10.1080/09243046.2014.915112
  9. Source location in plates based on the multiple sensors array method and wavelet analysis vol.28, pp.1, 2014, https://doi.org/10.1007/s12206-013-0938-5
  10. Simulated and experimental studies on identification of impact load with the transient statistical energy analysis method vol.46, pp.2, 2014, https://doi.org/10.1016/j.ymssp.2014.01.015
  11. Identification of locations and force histories of multiple point impacts on composite isogrid-stiffened panels vol.89, pp.1, 2009, https://doi.org/10.1016/j.compstruct.2008.05.018
  12. Inverse estimation of impact force on a composite panel using a single piezoelectric sensor vol.28, pp.6, 2017, https://doi.org/10.1177/1045389X16657424
  13. Impact source localization in plate utilizing multiple signal classification vol.227, pp.4, 2013, https://doi.org/10.1177/0954406212452233
  14. Damage Identification in Composite Plate Using an Inverse Optimization Procedure vol.166-169, pp.1662-7482, 2012, https://doi.org/10.4028/www.scientific.net/AMM.166-169.3241