复杂阻尼结构阻尼模型研究

PDF(1000 KB)

振动与冲击 ›› 2011, Vol. 30 ›› Issue (2) : 73-76.

论文

复杂阻尼结构阻尼模型研究

段绍伟1;向湘林1;沈蒲生2

作者信息 +

Studies on Damping Modal of Complex Structures

DUAN Shao-wei1;XIANG Xiang-lin1;SHEN Pu-sheng2

Author information +

文章历史 +

摘要

复杂结构动力分析过程中，阻尼比的计算显得非常重要。由于复杂结构的阻尼模型具有特殊性，对如何确定阻尼比等参数，至今没有较好的理论和方法。针对由多种不同阻尼特性材料建造的复杂结构，提出了一种基于换算模态阻尼比的阻尼模型。通过复阻尼理论和模态应变能法，推导了换算模阻尼比，并得到了换算模态阻尼比与各种材料阻尼比之间的关系。将所提出的方法应用于工程结构，该方法计算的动力响应与结构瑞雷阻尼法相比，其精度更高，接近于单元阻尼比法的结果。由于其方法简单、物理意义明确，在复杂结构动力分析中具有广泛的应用前景。

Abstract

Dampuing ratio is critical to dynamic analysis of complex structures.However,because of the specifcity of damping model of complex structure,there are no perfect theory and methods to determine damping ratios and so on.A damping model,which is based on the conversion modal damping ratios,is applied to the complex structures constructed of materials of different damping properties.With the procedure,the conversion modal damping ratios can be obtained by use of complex damping theory and modal strain energy method,and the relationship between the conversion modal damping ratios and the damping ratios of materials have been analyzed in this paper.The vibration responses of an engineering structure,investigated with the proposed method,are more accurate than the substruture method of rayleigh damping and agree well with the elemental damping method,and the proposed method is more reasonable.Because the proposed method has a simple mathematical expression and a clear physical,it can be widely used in complex structure dynamical analysis.