黏弹性结构振动阻尼等效化方法的讨论

基于能量等效的原则将黏弹性结构振动阻尼等效简化成黏性阻尼模型来处理是工程上常用的方法.本文首先介绍了能量等效法，并提出了一种基于系统特征值相等原则的等效方法；详细讨论并比较了这两种黏性阻尼等效方法所得到的等效系统，指出基于能量、特征值等效的原则实质上分别等价于系统的频率响应函数、频率响应函数幅值的等效性.

EQUIVALENT APPROACH OF VIBRATIONDAMPING IN VISCOELASTIC STRUCTURES

In structural vibration analyses, vibration damping of viscoelastic structures is equivalently reduced to a visco-damping model by the wellknown energy equivaent principle. The approach of energy equivalent principle is at first introduced inthis paper, and a new method based on the equivalent eigenvalues of the system is also suggested to reduce viscoelastic damping to a visco-damping model. The detailed discussion and comparison of the two methods are conducted for the obtained equivalent systems. It is also pointed out that the results obtained by the energy method are identical to those by the equivalent frequency response functions of the two systems, and the other method means the equivalent amplitudes of frequency response functions.