Elastodynamic Analysis at an Interface of Viscous Fluid/Thermoelastic Micropolar Honeycomb Medium due to Inclined Load
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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.
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关键词:
- 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. -
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