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Akbari, Jalal, Mirzaei, Samaneh. (1404). Analytical Dynamic Analysis under Impulse Loadings Using Laplace Transform. نشریه مهندسی عمران امیرکبیر, 9(3), 205-220. doi: 10.22060/ajce.2025.23211.5861
Jalal Akbari; Samaneh Mirzaei. "Analytical Dynamic Analysis under Impulse Loadings Using Laplace Transform". نشریه مهندسی عمران امیرکبیر, 9, 3, 1404, 205-220. doi: 10.22060/ajce.2025.23211.5861
Akbari, Jalal, Mirzaei, Samaneh. (1404). 'Analytical Dynamic Analysis under Impulse Loadings Using Laplace Transform', نشریه مهندسی عمران امیرکبیر, 9(3), pp. 205-220. doi: 10.22060/ajce.2025.23211.5861
Akbari, Jalal, Mirzaei, Samaneh. Analytical Dynamic Analysis under Impulse Loadings Using Laplace Transform. نشریه مهندسی عمران امیرکبیر, 1404; 9(3): 205-220. doi: 10.22060/ajce.2025.23211.5861

Analytical Dynamic Analysis under Impulse Loadings Using Laplace Transform

AUT Journal of Civil Engineering
دوره 9، شماره 3، بهمن 2025، صفحه 205-220    اصل مقاله (2.12 M)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22060/ajce.2025.23211.5861
نویسندگان
Jalal Akbari* 1؛ Samaneh Mirzaei2
1Department of Civil Engineering, Bu-Ali Sina University, Hamedan, Iran
2University of Genoa, Savona compose, Genoa, Italy
چکیده
The application of impulse loading is commonly observed in practice, and accurately estimating the corresponding response through numerical techniques poses significant challenges. This study introduces an analytical formulation to assess the dynamic responses of multi-degree-of-freedom (MDF) beams subjected to impact loading, utilizing the Laplace transform. By focusing on simple beam configurations, this research aims to illuminate previously unexplored aspects of the system's dynamic behavior under impulse loading. Throughout the investigation, any arbitrary or irregular impact loading in the time domain was transformed into the Heaviside step function using the Laplace transform technique. Initially, analytical forced-vibration responses corresponding to the impact loading were mathematically derived. Subsequently, the proposed forced-vibration formulation was validated through laboratory-scale experimental tests. The experimental data were also used to update the finite element model (FEM) for evaluating numerical responses using the Newmark HHT-alpha method under short-time loading. The results indicate that unconditionally stable schemes, such as Newmark HHT-alpha, encounter challenges related to numerical damping, amplitude decay, period elongation, and spurious frequency errors when subjected to impulse loading; however, the proposed method effectively mitigates these errors. The robustness of the proposed method was examined for unusual shock-type loads, and the results demonstrate that the error associated with traditional methods, such as the Newark HHT method is significantly high, with some cases exceeding 300 %.
کلیدواژه‌ها
Impact/ Impulse Load, Laplace Transform؛ Frequency Response Function, Model Updating, Newmark Average Acceleration Method
مراجع
  1. Tagarielli, V., V. Deshpande, and N. Fleck, Prediction of the dynamic response of composite sandwich beams under shock loading. International Journal of Impact Engineering, 2010. 37(7): p. 854–864.
  2. Wan, H.-P. and W.-X. Ren, A residual-based Gaussian process model framework for finite element model updating. Computers & Structures, 2015. 156: p. 149–159.
  3. Mazurkiewicz, Ł., et al., Comparison of numerical testing methods in terms of impulse loading applied to structural elements. Journal of Theoretical and Applied Mechanics, 2013. 51(3): p. 615–625.
  4. Zhang, X., H. Hao, and Z. Wang, Experimental study of laminated glass window responses under impulsive and blast loading. International Journal of Impact Engineering, 2015. 78: p. 1–19.
  5. Mohammad, R., A. Kotousov, and J. Codrington, Analytical modelling of a pipe with flowing medium subjected to an impulse load. International journal of impact engineering, 2011. 38(2-3): p. 115–122.
  6. Stoynova, I. and T. Christov. Response of a reinforced concrete cantilever beam subject to impulse impact loads. in IOP Conference Series: Materials Science and Engineering. 2020. IOP Publishing.
  7. Børvik, T., et al., Response of structures to planar blast loads–A finite element engineering approach. Computers & Structures, 2009. 87(9-10): p. 507–520.
  8. Shiuh-Chuan, H. and L. Ching-Chun, Elastic responses of a composite shell structure subjected to impact loading. Materials Science, 2022. 28(1): p. 53–59.
  9. Pradhan, S. and S. Modak, Normal response function method for mass and stiffness matrix updating using complex FRFs. Mechanical Systems and Signal Processing, 2012. 32: p. 232–250.
  10. Arora, V., S. Singh, and T. Kundra, Comparative study of damped FE model updating methods. Mechanical Systems and Signal Processing, 2009. 23(7): p. 2113–2129.
  11. Arora, V., S. Singh, and T. Kundra, Finite element model updating with damping identification. Journal of Sound and Vibration, 2009. 324(3-5): p. 1111–1123.
  12. Yuan, Y., A model updating method for undamped structural systems. Journal of computational and applied mathematics, 2008. 219(1): p. 294–301.
  13. García‐Palencia, A.J. and E. Santini‐Bell, A two‐step model updating algorithm for parameter identification of linear elastic damped structures. Computer‐Aided Civil and Infrastructure Engineering, 2013. 28(7): p. 509–521.
  14. Esfandiari, A., et al., Structural model updating using frequency response function and quasi-linear sensitivity equation. Journal of sound and vibration, 2009. 326(3-5): p. 557–573.
  15. Esfandiari, A., et al., Structural finite element model updating using transfer function data. Computers & structures, 2010. 88(1-2): p. 54–64.
  16. Sipple, J.D. and M. Sanayei, Finite element model updating using frequency response functions and numerical sensitivities. Structural Control and Health Monitoring, 2014. 21(5): p. 784–802.
  17. Li, W.-M. and J.-Z. Hong, New iterative method for model updating based on model reduction. Mechanical Systems and Signal Processing, 2011. 25(1): p. 180–192.
  18. Weng, S., et al., Inverse substructure method for model updating of structures. Journal of Sound and Vibration, 2012. 331(25): p. 5449–5468.
  19. Papadimitriou, C. and D.-C. Papadioti, Component mode synthesis techniques for finite element model updating. Computers & structures, 2013. 126: p. 15–28.
  20. Sarmadi, H., A. Karamodin, and A. Entezami, A new iterative model updating technique based on least squares minimal residual method using measured modal data. Applied mathematical modelling, 2016. 40(23-24): p. 10323–10341.
  21. Wei, S., et al., Modal identification of multi-degree-of-freedom structures based on intrinsic chirp component decomposition method. Applied Mathematics and Mechanics, 2019. 40(12): p. 1741–1758.
  22. Christodoulou, K., et al., Structural model updating and prediction variability using Pareto optimal models. Computer Methods in Applied Mechanics and Engineering, 2008. 198(1): p. 138–149.
  23. Jung, D.-S. and C.-Y. Kim, Finite element model updating on small-scale bridge model using the hybrid genetic algorithm. Structure and Infrastructure Engineering, 2013. 9(5): p. 481–495.
  24. Shabbir, F. and P. Omenzetter, Particle swarm optimization with sequential niche technique for dynamic finite element model updating. Computer‐Aided Civil and Infrastructure Engineering, 2015. 30(5): p. 359–375.
  25. Akbari, J., L. Nazari, and S. Mirzaei, Vibration Response Evaluation under Shock‐Type Loading with Emphasis on Finite Element Model Updating. Shock and Vibration, 2020. 2020(1): p. 8861827.
  26. Gilat, A., Numerical Methods for Engineers and Scientists.
  27. Xie, W.-C., Differential equations for engineers. 2010: Cambridge university press.
  28. Xue, D. and Y. Chen, Scientific computing with MATLAB. 2018: Chapman and Hall/CRC.
  29. Friswell, M.I. and J. Mottershead, Finite element model updating in structural dynamics. 1995: Kluwer Academic Publishers.
  30. Erdogmus, P., Particle swarm optimization with applications. 2018: BoD–Books on Demand.
  31. Paultre, P., Dynamics of structures. 2013: John Wiley & Sons.
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