作平面运动的二维平面板的热耦合动力学问题
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国家自然科学基金资助项目(10472066,10372057)


Coupled thermoelastic dynamics of a twodimensional plate undergoing planar motion
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    摘要:

    研究受到热冲击的作平面运动的二维平面板的温度场和动力学响应.考虑温度场和应变场的耦合,通过计算熵密度,建立了平面板的热传导变分方程,此外,在本构关系式中考虑热应变,基于平面应力假设建立了作平面运动的二维平面板的动力学变分方程.用有限元方法分别对温度场和变形场进行离散.最后,计算了作直线平动的平面板的温度场和变形场,揭示了温度和变形的相互耦合特征, 体现了板运动对温度和变形的影响.

    Abstract:

    Temperature field and dynamic performance of a twodimensional plate with planar motion is investigated. Considering the coupling influence of the temperature and elastic deformation, the entropy density is calculated, and the thermal conductive variational equations are derived. Furthermore, considering the thermal strain, dynamic variational equations of the plate are obtained in the status of planar stress. Finite element method is employed for discretization of temperature and deformation fields in the plate. Finally, the temperature and deformation fields are calculated. Coupling characteristics of the heat, deformation and motion of the plate is revealed, and significant effect of the motion on the temperature and deformation fields is shown.

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李智勇,刘锦阳,洪嘉振.作平面运动的二维平面板的热耦合动力学问题[J].动力学与控制学报,2006,4(2):114~121; Li Zhiyong, Liu Jinyang, Hong Jiazhen. Coupled thermoelastic dynamics of a twodimensional plate undergoing planar motion[J]. Journal of Dynamics and Control,2006,4(2):114-121.

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  • 收稿日期:2006-01-03
  • 最后修改日期:2006-02-27
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