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粘弹性复合材料的有效三维阻尼矩阵预报与能耗计算

, PP. 118-123

Keywords: 纤维增强复合材料,粘弹性,有效阻尼矩阵,能耗,比阻尼

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Abstract:

提出了一种计算纤维增强复合材料粘弹性阻尼和能耗的新方法。在层片的层次上,基于各向异性粘弹性理论导出以阻尼矩阵表示的材料能耗计算公式。在层板的层次上由能量等效原理得到有效阻尼矩阵。由此,可由层板的有效应力和有效应变计算出其能量耗散进而得到比阻尼。其中的关键点是有效阻尼矩阵的推导,最终得到的有效阻尼矩阵是各单层阻尼系数、体积分数、刚度系数以及层合板有效刚度系数的函数。用有效阻尼矩阵计算能耗可以适用于任意复合材料的应力应变状态,这对于粘弹性复合材料结构能耗的数值分析尤其重要。最后将该理论应用于几种情况下的复合材料的能耗和比阻尼分析,算例表明与其它的理论预测和试验相比吻合良好,证实了该方法的合理性。

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