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In this study, four sets of steel beams of three strength classes with similar geometries were built for episodic but extremely hazardous impact loads to investigate the scaling effects on their dynamic responses at different impact energies, mainly analyzing the effects of structural scaling and impact energies on the damage modes of the beams, the mid-span displacements, the impact forces, and the support reaction forces. The results of the numerical study show that when the impact energy is low, the impact response of the steel beam conforms to the classical similarity law. This is demonstrated by the fact that the normalized displacement, impact force, peak support reaction force, and member energy absorption are almost the same, do not vary with size, and are not affected by steel strength. At higher impact energies, the various dynamic responses deviate from the classical similarity law by up to 45 % and are less affected by steel strength. The scaling effect occurs because, at high energy levels, a steel beam may enter a plastic state or even yield. The area (or volume) that yields and the extent of yielding do not change consistently with variations in size. In addition, the combination of static loading methods yields that the impact energy required for a steel beam to exhibit the scaling effect is approximately three times the energy needed for the beam to enter the yielding stage. In this paper, empirical quantitative formulas (i.e., similarity laws) for predicting the variation of steel beam displacements, impact forces, support reactions, and member energy absorption with size are given based on numerical simulations, and some of the formulas given in the paper are verified in conjunction with previous studies.
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INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
ISSN: 0020-7403
Year: 2025
Volume: 287
7 . 3 0 0
JCR@2022
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 7
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