SDLF of a modified Timoshenko beam under a concentrated impact load at its mid-span

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (3) : 44-50.

CAO Zhen, MA Haiying, ZHOU Junyong, LI Hui, SHI Xuefei

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Abstract

Orthogonality conditions of a modified Timoshenko beam were derived, and then its shear response calculation method under a concentrated impact load at its mid-span was deduced.The calculated results using this method were compared with those using the classical Timoshenko beam theory.It was shown that the calculation results using the modified Timoshenko beam theory are more accurate when the beam’s slenderness ratio is smaller.Using this method, the maximum shear dynamic load factors (SDLFs) of a two-end fixed beam and a simply supported one with different slenderness ratios under a concentrated impact load impulse with and without a triangular time history at the beam mid-span were calculated, and the calculation formula was fitted.It was shown that the maximum SDLF can be calculated according to a beam’s slenderness ratio and the ratio of the load duration to the beam’s 1st order natural vibration period, the maximum SDLF can be used to determine the anti-shear demand of a beam under impact load.

Key words

modified Timoshenko beam / concentrated impact load / dynamic response / shear dynamic load factor

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CAO Zhen, MA Haiying, ZHOU Junyong, LI Hui, SHI Xuefei. SDLF of a modified Timoshenko beam under a concentrated impact load at its mid-span[J]. Journal of Vibration and Shock, 2019, 38(3): 44-50

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