【作者】 石广玉；

【Author】 Shi Guangyu (Material Eng. Dept. , School of Material Eng. , Suzhou University, Jiangsu Suzhou, 215021)

【机构】 苏州大学材料工程学院材料系；

【摘要】 本文讨论复合材料板壳分析中对应于高阶剪切变形理论的变分协调质量矩阵,及它们对计算横向振动频率的影响。数值实验结果表明:高阶质量矩阵对横向振动基频及低频的影响可忽略不计,但它们对高阶横向振动频率有很大的影响。当用高阶剪切变形理论进行复合材料板壳有限元动力分析时,若要准确地计算高阶振动频率,不仅对应的刚度矩阵要变分协调,其对应的质量矩阵也一定要变分协调。更多还原

【Abstract】 This paper presents the variational consistent mass matrices corresponding to the high-order shear deformation theory in the analysis of composite plates and shells, and studies the influence of the consistent mass matrices on the evaluation of the transverse vibrations. The numerical results indicate that the higher-order mass matrices have a negligible influence on the fundamental frequency, but they affect the frequencies of higher mode vibrations considerably. Therefore, when the high-order shear deformation theories are used for the dynamic analysis, one has to use not only the variational consistent stiffness matrices but also the variational consistent mass matrices in order to compute the vibration frenquency accurately.更多还原