Representation of bolted joints in a structure using finite element modelling and model updating

R. Omar; M. N. Abdul Rani; M. A. Yunus

doi:10.15282/jmes.14.3.2020.15.0560

Authors

R. Omar Structural Dynamics Analysis and Validation, Faculty of Mechanical Engineering, Universiti Teknologi MARA, 40000 Shah Alam, Selangor, Malaysia. Phone: +60355435528; Fax: +60355435160
M. N. Abdul Rani Structural Dynamics Analysis and Validation, Faculty of Mechanical Engineering, Universiti Teknologi MARA, 40000 Shah Alam, Selangor, Malaysia. Phone: +60355435528; Fax: +60355435160
M. A. Yunus Structural Dynamics Analysis and Validation, Faculty of Mechanical Engineering, Universiti Teknologi MARA, 40000 Shah Alam, Selangor, Malaysia. Phone: +60355435528; Fax: +60355435160

DOI:

https://doi.org/10.15282/jmes.14.3.2020.15.0560

Keywords:

Finite element modelling, experimental modal analysis, dynamic behaviour, model updating, bolted joints

Abstract

Efficient and accurate finite element (FE) modelling of bolted joints is essential for increasing confidence in the investigation of structural vibrations. However, modelling of bolted joints for the investigation is often found to be very challenging. This paper proposes an appropriate FE representation of bolted joints for the prediction of the dynamic behaviour of a bolted joint structure. Two different FE models of the bolted joint structure with two different FE element connectors, which are CBEAM and CBUSH, representing the bolted joints are developed. Modal updating is used to correlate the two FE models with the experimental model. The dynamic behaviour of the two FE models is compared with experimental modal analysis to evaluate and determine the most appropriate FE model of the bolted joint structure. The comparison reveals that the CBUSH element connectors based FE model has a greater capability in representing the bolted joints with 86 percent accuracy and greater efficiency in updating the model parameters. The proposed modelling technique will be useful in the modelling of a complex structure with a large number of bolted joints.

References

R. A. Ibrahim and C. L. Pettit, “Uncertainties and dynamic problems of bolted joints and other fasteners,” Journal of Sound and Vibration, vol. 279, no. 3–5, pp. 857–936, 2005.

H. Ahmadian and H. Jalali, “Identification of bolted lap joints parameters in assembled structures,” Mechanical Systems and Signal Processing, vol. 21, no. 2, pp. 1041–1050, 2007.

I. Zaman, A. Khalid, B. Manshoor, S. Araby, and M. I. Ghazali, “The effects of bolted joints on dynamic response of structures,” in IOP Conf. Series: Materials Science and Engineering, 2013, vol. 50, p. 012018.

S. Daouk, F. F. Louf, C. Cluzel, O. Dorival, L. Champaney, and S. Audebert, “Study of the dynamic behavior of a bolted joint under heavy loadings,” Journal of Sound and Vibration, vol. 392, pp. 307–324, 2017.

S. Shokrollahi and F. Adel, “Finite element model updating of bolted lap joints implementing identification of joint affected region parameters,” Journal of Theoretical and Applied Vibration and Acoustics, vol. 2, no. 1, pp. 65–78, 2016.

M. H. N. Izham and M. S. M. Sani, “Model updating of frame structure with bolted joints,” Journal of Physics: Conference Series, vol. 1262, p. 012023, 2019.

A. Rutman, C. Boshers, L. Pearce, and J. Parady, “Fastener modeling for joining parts modeled by shell and solid elements,” in Americas Virtual Product Development Conference, 2007, pp. 1–26.

R. Grzejda, “Modelling bolted joints using a simplified bolt model,” Journal of Mechanical and Transport Engineering, vol. 69, no. 1, pp. 29–37, 2017.

N. Tanlak, F. O. Sonmez, and E. Talay, “Detailed and simplified models of bolted joints under impact loading,” Journal of Strain Analysis for Engineering Design, vol. 46, no. 3, pp. 213–225, 2011.

R. Omar, M. N. A. Rani, M. A. Yunus, A. A. M. Isa, and Z. A. Rahman, “Updating of the dynamic behaviour of an assembled structure with bolted joints in light of EMA results,” Journal of Physics: Conference Series, vol. 1262, no. 1, p. 012016, 2019.

I. Uysal, M. Suer, and I. Ozkol, “Finite Element Modelling and Analysis of Simple Lap Joints,” in Proceedings of 5th International Conference on Recent Advances in Space Technologies - RAST2011, 2011, pp. 68–72.

R. Omar, M. N. Abdul Rani, M. A. Yunus, W. I. I. Wan Iskandar Mirza, and M. S. Mohd Zin, “Investigation into joint stiffness for finite element modelling of the dynamic behaviour of a structure with bolted joints,” in IOP Conference Series: Materials Science and Engineering, 2019, vol. 506, p. 012009.

R. Omar, M. N. Abdul Rani, and M. A. Yunus, “Finite element modelling and updating of a bolted structure using elements representing the stiffness members, bolts and affected areas of the joints,” Journal of Physics: Conference Series, vol. 1262, no. 1, p. 012005, 2019.

R. C. Hibbeler, Mechanics of Materials, 8th ed. Prentice Hall, 2011.

M. N. Abdul Rani, H. Ouyang, M. A. Yunus, and B. A. Aminudin, “Model updating for a thin steel sheet welded structure,” in 20th International Congress on Sound and Vibration 2013, 2013, pp. 1–8.

M. N. Abdul Rani, S. Kasolang, M. H. Othman, M. A. Yunus, W. I. I. Wan Iskandar Mirza, and H. Ouyang, “Finite element modelling and modal based updating for the dynamic behaviour of a laser spot welded structure,” in 23rd International Congress on Sound and Vibration, 2016, pp. 315–322.

R. Omar, M. N. Abdul Rani, W. I. I. Wan Iskandar Mirza, M. A. Yunus, and M. H. Othman, “Finite element modelling and updating for bolted lap joints,” Journal of Mechanical Engineering, vol. SI 4, no. 3, pp. 202–222, 2017.

R. Omar, M. N. Abdul Rani, M. A. Yunus, W. I. I. Wan Iskandar Mirza, and M. S. Mohd Zin, “Finite element modelling and updating of a non-identical built-up structure with bolted joints,” in 25th Internatinal Congress on Sound and Vibration (ICSV 25), 2018, pp. 4624–4631.

R. Omar, M. N. Abdul Rani, M. A. Yunus, W. I. I. Wan Iskandar Mirza, and M. S. Mohd Zin, “Efficient finite element modelling for the investigation of the dynamic behaviour of a structure with bolted joints,” AIP Conference Proceedings, vol. 1952, no. 1, p. 020082, Apr. 2018.

R. Omar et al., “Investigation of mesh size effect on dynamic behaviour of an assembled structure with bolted joints using finite element method,” International Journal of Automotive and Mechanical Engineering, vol. 15, no. 3, pp. 5695–5708, 2018.

Siemens, Siemens Element Library Reference. 2014.

SIEMENS, “Introduction to NX FE model updating,” 2011.

H. Huth, “Influence of Fastener Flexibility on the Prediction of Load Transfer and Fatigue Life for Multiple-Row Joints,” in Fatigue in Mechanically Fastened Composite and Metallic Joints, ASTM STP 927, J. M. Potter, Ed. Philadelphia: American Society for Testing and Materials, 1986, pp. 221–250.

L. Jarfall, “Shear loaded fastener installations,” International Journal of Vehicle Design, vol. 7, pp. 337–380, 1986.

Z. L. Whitman, “The effect of fatigue cracks on fastener flexibility load distribution and fatigue crack growth,” University of Utah, 2012.

F. Gunbring, “Prediction and Modelling of Fastener Flexibility Using FE,” Linkoping University Institute of Technology, 2008.

S. Chandregowda and C. R. Ganga Reddy, “Evaluation of fastener stiffness modelling methods for aircraft structural joints,” AIP Conference Proceedings, vol. 1943, p. 020001, 2018.

R. Omar, M. N. Abdul Rani, M. A. Yunus, D. P. Starbuck, W. I. I. Wan Iskandar Mirza, and M. S. Mohd Zin, “Different flexibility formulae for finite element modelling and analysis of the dynamic behaviour of a structure with bolted joints,” AIP Conference Proceedings, vol. 2059, p. 020004, 2019.

F. Adel, S. Shokrollahi, M. Jamal-Omidi, and H. Ahmadian, “A model updating method for hybrid composite/aluminum bolted joints using modal test data,” Journal of Sound and Vibration, vol. 396, pp. 172–185, 2017.

S. Saeed, N. Ahmad, and A. Farhad, “Finite element model updating of interfaces in single-lap bolted joints using modal test data,” in 21st International Congress on Sound and Vibration, 2014.

W. I. I. Wan Iskandar Mirza, M. N. Abdul Rani, M. A. Yunus, R. Omar, and M. S. Mohd Zin, “Alternative scheme for frequency response function measurement of experimental- analytical dynamic substructuring,” Journal of Mechanical Engineering and Sciences, vol. 13, no. 2, pp. 4946–4957, 2019.

J. E. Mottershead and M. I. Friswell, “Model updating in structural dynamics: A survey,” Journal of Sound and Vibration, vol. 167, no. 2, pp. 347–375, 1993.

S. Sehgal and H. Kumar, “Structural Dynamic Model Updating Techniques: A State of the Art Review,” Archives of Computational Methods in Engineering, vol. 23, no. 3, pp. 515–533, 2016.

J. E. Mottershead, M. Link, and M. I. Friswell, “The sensitivity method in finite element model updating: A tutorial,” Mechanical Systems and Signal Processing, vol. 25, no. 7, pp. 2275–2296, 2011.

H. Ahmadian, J. E. Mottershead, S. James, M. I. Friswell, and C. A. Reece, “Modelling and updating of large surface-to-surface joints in the AWE-MACE structure,” Mechanical Systems and Signal Processing, vol. 20, no. 4, pp. 868–880, 2006.

M. S. Mohd Zin, M. N. Abdul Rani, M. A. Yunus, M. A. Ayub, M. S. M. Sani, and M. A. S. Aziz Shah, “Modal based updating for the dynamic behaviour of a car trunk lid,” AIP Conference Proceedings, vol. 2059, no. January, p. 020001, 2019.

M. S. Mohd Zin, M. N. Abdul Rani, M. A. Yunus, W. I. I. Wan Iskandar Mirza, M. A. Ayub, and R. Omar, “Frequency Response Function Based Updating of a Laser Spot Welded Structure using Synthesised Frequency Response Function,” IOP Conference Series: Materials Science and Engineering, vol. 506, no. 1, p. 012012, 2019.

M. I. Friswell and J. E. Mottershead, Finite element model updating in structural dynamics. London: Kluwer Academic Publishers, 1995.