陈殿云, 梁斌, 杨民献. 阶梯状或线性变厚度正交异性圆板的横向振动[J]. 工程力学, 2002, 19(6): 154-158.
引用本文: 陈殿云, 梁斌, 杨民献. 阶梯状或线性变厚度正交异性圆板的横向振动[J]. 工程力学, 2002, 19(6): 154-158.
CHEN Dian-yun, LIANG Bin, YANG Min-xian. NATURAL FREQUENCIES OF CIRCULAR ANNULAR PLATES OF POLAR ORTHOTROPY AND VARIABLE THICKNESS[J]. Engineering Mechanics, 2002, 19(6): 154-158.
Citation: CHEN Dian-yun, LIANG Bin, YANG Min-xian. NATURAL FREQUENCIES OF CIRCULAR ANNULAR PLATES OF POLAR ORTHOTROPY AND VARIABLE THICKNESS[J]. Engineering Mechanics, 2002, 19(6): 154-158.

阶梯状或线性变厚度正交异性圆板的横向振动

NATURAL FREQUENCIES OF CIRCULAR ANNULAR PLATES OF POLAR ORTHOTROPY AND VARIABLE THICKNESS

  • 摘要: 本文利用三节点变厚度环形单元,计算了变厚度柱状正交各向异性圆板的轴对称和非轴对称振动的自然频率。在单元矩阵的计算过程中将解析方法与数值积分相结合,大大提高了计算精度。计算实例表明,使用少数几个单元即可获得相当精确的计算结果。

     

    Abstract: The natural frequencies of the circular annular plates of polar orthotropy and variable thickness are studied by the finite element method. Three node annular elements of variable thickness are used. The stiffness matrices and mass matrices of the annular elements are obtained by combining analytical and numerical methods. It is shown that the results obtained by present method are very accurate.

     

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