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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
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