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微极热弹性无限板的轴对称自由振动

R·库玛 G·帕塔泊

R·库玛, G·帕塔泊. 微极热弹性无限板的轴对称自由振动[J]. 应用数学和力学, 2007, 28(3): 335-348.
引用本文: R·库玛, G·帕塔泊. 微极热弹性无限板的轴对称自由振动[J]. 应用数学和力学, 2007, 28(3): 335-348.
Rajneesh Kumar, Geeta Partap. Axisymmetric Free Vibrations of an Infinite Micropolar Thermoelastic Plate[J]. Applied Mathematics and Mechanics, 2007, 28(3): 335-348.
Citation: Rajneesh Kumar, Geeta Partap. Axisymmetric Free Vibrations of an Infinite Micropolar Thermoelastic Plate[J]. Applied Mathematics and Mechanics, 2007, 28(3): 335-348.

微极热弹性无限板的轴对称自由振动

Axisymmetric Free Vibrations of an Infinite Micropolar Thermoelastic Plate

  • 摘要: 研究了在应力自由和刚性固定边界条件下,无能量耗散的均匀、各向同性微极热弹性无限板的轴对称自由振动波的传播,导出了相应的对称和斜对称模态波传播的闭合式特征方程和不同区域的特征方程.对短波的情况,应力自由热绝缘和等温板中对称和斜对称模态波传播的特征方程退化为Rayleigh表面波频率方程.根据导出的特征方程得到了热弹性、微极弹性和弹性板的结果.在对称和斜对称运动中计算了板的位移分量幅值、微转动幅值和温度分布,给出了对称和斜对称模式的频散曲线,并示出了位移分量和微转动幅值和温度分布的曲线.能够发现理论分析和数值结论是非常一致的.
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出版历程
  • 收稿日期:  2006-03-07
  • 修回日期:  2007-01-12
  • 刊出日期:  2007-03-15

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