构造了一种纤维增强复合材料等效动态性能本构模型。根据经典层板理论分别推导出了显含弹性常数和显含阻尼系数的纤维增强复合材料层板的刚度矩阵和等效阻尼矩阵。利用模态试验方法, 得出了弹性常数、等效阻尼系数与层板振动模态之间的显式关系。通过识别本构方程中的等效阻尼系数, 可以方便地推导出任意铺层数和任意铺层角度下层板的等效阻尼矩阵。算例分析表明, 利用此方法识别出的弹性常数和等效阻尼能够满足工程精度要求。
The equivalent characteristic constitutive equations were founded in this paper. Based on the classic composites laminates theory , the stiffness mat rix and the equivalent damping mat rix of the laminates which can be described by elastic constant s and damping constant s were determined. The explicit relationship between elastic constant s and the mode was determined , as well as the explicit relationship between damping constant s and the mode.The equivalent damping mat rix of any laminates can be easily calculated out when the equivalent damping constant sin the constitutive equations are identified. The validity of this method is demonst rated through numerical examples.