频率依赖性黏弹性复合板动力学特性计算方法

Calculation Method of Frequency-Dependent Viscoelastic Composite Plate Dynamic Characteristics

将涂覆黏弹性阻尼的压气机叶片简化为考虑频率依赖性的黏弹性复合板,基于经典模态应变能法推导了一种修正的模态应变能法,用于黏弹性复合板的损耗因子计算。设计了一种基于修正模态应变能法的迭代求解方法,通过算例分别使用该计算方法与复特征值迭代法计算考虑频率依赖性的黏弹性复合板动力学特性。结果表明:基于修正模态应变能法的迭代求解方法在提高运算效率的同时,能够准确地计算出频率依赖性黏弹性复合板的动力学特性。

The compressor blade coated with viscoelastic damping was simplified as a viscoelastic composite plate concerning frequency dependence.Based on the classical modal strain energy method,a modified modal strain energy method was derived for calculating the loss factor of viscoelastic composite plates.Furthermore,an iterative solution method based on the modified modal strain energy method was developed,by which and with the combination of the complex eigenvalue iterative method,calculations on the dynamic characteristics of the viscoelastic composite plate related to frequency dependence were worked out.The results show that the iterative solution method on the basis of the modified modal strain energy method can accurately calculate the dynamic characteristics of the viscoelastic composite plate concerning frequency dependence and improve computing efficiency as well.