Calculation method of dynamic equivalent spectrum element for ship typical periodic plate-frame structure

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (12) : 59-69.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Calculation method of dynamic equivalent spectrum element for ship typical periodic plate-frame structure

YANG Haipeng1，WU Guoxun*1，WANG Zicheng1，LIN Wei1，ZHANG Yu1，FAN Kai2

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Abstract

The spectral element calculation method has the advantages of clear propagation mechanism and high computational efficiency in structural vibration analysis, but the calculation results are biased when dealing with complex structural spectral element matrix due to the equivalence problem of substructure. In this paper, an equivalent physical model of plate structure based on beam and spring vibrator substructure is proposed, and the spectral stiffness matrix of multi-period grid structure and vibrator grid structure is constructed, and the finite element models of the two structures are established for verification. By comparing the band gap and vibration response characteristics of the finite element and spectrum element grating model with that of the finite element plate model, the appropriate vibrator mass coefficient and band plate action coefficient of the two models are determined, and the accuracy of the calculation method is verified.

Key words

Spectral unit method / Periodic structure / Calculation method of vibration characteristics；Structure equivalent method

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YANG Haipeng1, WU Guoxun1, WANG Zicheng1, LIN Wei1, ZHANG Yu1, FAN Kai2. Calculation method of dynamic equivalent spectrum element for ship typical periodic plate-frame structure[J]. Journal of Vibration and Shock, 2025, 44(12): 59-69

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