附加自由阻尼梁高频响应的能量有限元方法模型

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (17) : 94-99.

论文

孔祥杰1,2 ，陈花玲1,2，祝丹晖1,2，张文博1,2

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Energy Finite Element Analysis of High-Frequency Vibration in Beams with Free Layer Damping Treatment

KONG Xiang-jie1,2，CHEN Hua-ling1,2，ZHU Dan-hui1,2，ZHANG Wen-bo1,2

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文章历史 +

摘要

能量有限元方法（EFEA）是一种预示结构高频响应的新方法。为了利用能量有限元方法准确的预示附加阻尼结构的高频响应，将复刚度法与能量有限元的相关理论相结合，同时对现有的能量有限元推导思路进行了大结构阻尼条件下的修正，推导了大阻尼工况下，附加自由阻尼梁结构高频振动响应的能量密度控制方程。同时，通过对阻尼处理交界面处能量转移关系的分析，建立了经过局部附加阻尼处理的梁结构高频响应的能量有限元模型。通过与各自工况下模态解析解的对比，所建立的能量有限元方法模型可以准确的预示大结构阻尼工况下附加阻尼梁的高频响应。

Abstract

Energy Finite Element Analysis (EFEA) is a method developed for high-frequency structural response prediction in recent years. To study the high-frequency vibrational response of the beam structure with free layer damping (FLD) treatment, the governing equation of energy density about the bending vibration of the beam structure with FLD treatment under high damping condition is developed based on the model of equivalent complex flexural stiffness and the theoretical scheme of EFEA. The governing equation is derived with special treatment and modifications for high structural damping. Meanwhile, the EFEA model of beam structure with partial FLD treatment is also developed by studying the energy transfer relationship at the interface of damping treatment. Numerical simulations validated the proposed model through the comparisons with the analytical modal solutions. The results showed that the proposed EFEA model can predict the high-frequency vibrational response of the beam structure with FLD treatment under high damping condition accurately.

导出引用

孔祥杰1,2,陈花玲1,2，祝丹晖1,2，张文博1,2. 附加自由阻尼梁高频响应的能量有限元方法模型[J]. 振动与冲击, 2015, 34(17): 94-99

KONG Xiang-jie1,2，CHEN Hua-ling1,2，ZHU Dan-hui1,2，ZHANG Wen-bo1,2. Energy Finite Element Analysis of High-Frequency Vibration in Beams with Free Layer Damping Treatment[J]. Journal of Vibration and Shock, 2015, 34(17): 94-99

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