黏性流体与热弹性微极蜂窝结构介质界面上受倾斜荷载作用时的弹性动力分析

R·库玛; R·R·古泊塔

黏性流体与热弹性微极蜂窝结构介质界面上受倾斜荷载作用时的弹性动力分析

库鲁克西察大学数学系,库鲁克西察 136 119, 印度

详细信息

中图分类号: O343.8；O343.6;O33
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出版历程
- 收稿日期: 2008-03-18
- 修回日期: 2008-12-26
- 刊出日期: 2009-03-15

Elastodynamic Analysis at an Interface of Viscous Fluid/Thermoelastic Micropolar Honeycomb Medium due to Inclined Load

Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India

摘要

摘要: 研究倾斜荷载作用在黏性流体与热弹性微极蜂窝结构固体界面上时，荷载倾斜角的影响．假设倾斜荷载是法向荷载和切向荷载的线性组合．为求解该问题，对时间变量进行Laplace变换，对空间变量进行Fourier变换．通过引入势函数，获得了变换域中应力、温度分布和压力的表达式．利用数值逆变换技术，求得问题的物理解．同时，得到了频域中的表达式，以及变量适当变化时稳态情况下的表达式．用图形显示不同荷载源和荷载倾角变化时的响应．并且讨论了一些特殊情况．
- 黏性流体 /
- 热弹性微极蜂窝结构材料 /
- 倾斜荷载 /
- 时谐 /
- 稳定态
Abstract: The effect of angle of inclination at the interface of a viscous fluid and thermoelastic micropolar honeycomb solid due to inclined load is investigated. The inclined load was assumed to be a linear combination of normal load and tangential load. The Laplace transform with respect to time variable and Fourier transform with respect to space variable were applied to solve the problem. The expressions in transformed domain of stresses, temperature distribution and pressures were obtained by introducing potential functions. The numerical inversion technique was used to obtain the solution in the physical domain. The expressions in frequency domain and for steady state situation were also obtained with the appropriate change of variables. Graphical representation due to the response of different sources and change of angle of inclination were shown. Some particular cases were also discussed.
- viscous fluid /
- thermoelastic micropolar honeycomb material /
- inclined load /
- time harmonic /
- steady state

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参考文献(14)

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