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
1. School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049,
2. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049
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.
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. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(17): 94-99.
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