船舶典型周期板架结构动力学等效谱单元计算方法

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振动与冲击 ›› 2025, Vol. 44 ›› Issue (12) : 59-69.

振动理论与交叉研究

船舶典型周期板架结构动力学等效谱单元计算方法

杨海朋1，武国勋*1，王梓丞1，林伟1，张宇1，范凯2

作者信息 +

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

Author information +

文章历史 +

摘要

谱单元计算方法在结构振动分析中具有传播机理明确、计算效率高等优势，但在处理复杂结构谱单元矩阵时由于子结构的等效问题带来了计算结果的偏差。本文针对船舶典型周期性板架结构，提出了基于梁与弹簧振子子结构组成的板架结构等效物理模型，构建了多周期格栅结构和振子格栅结构的谱刚度阵，并建立两种结构的有限元模型进行验证。通过将有限元及谱单元的振子格栅模型与有限元板架模型带隙与振动响应特性进行对比，确定两种模型中合适的振子质量系数与带板作用系数，验证了该计算方法的准确性。

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.

导出引用

杨海朋1, 武国勋1, 王梓丞1, 林伟1, 张宇1, 范凯2. 船舶典型周期板架结构动力学等效谱单元计算方法[J]. 振动与冲击, 2025, 44(12): 59-69

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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