用简化微分变换建立热弹性空心圆柱模型

S. B. Pimpare, C. S. Sutar
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引用次数: 2

摘要

热应力一词与材料力学有关。热应力是由于材料温度的任何变化而形成的。温度的大变化导致热应力更高。此外,热膨胀系数对热应力也有影响。不同材料的热膨胀系数不同。本文建立了一个考虑初始和边界条件下热传导的空心圆柱体热应力的数学模型。这项工作的基本目的是使用简化微分变换方法计算空心圆柱体中的热应力和热弹性位移。该解析解满足了铜材料性能特殊情况的目的。利用数学软件SCILAB对数值结果进行了图解说明。
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Hollow Cylinder with Thermoelastic Modelling by Reduced Differential Transform
The term thermal stresses are related to mechanics of materials. The thermal stress is formed due to any changes in temperature of a material. The large change in temperature concludes to higher the thermal stresses. Also, there is an effect of thermal expansion coefficient on thermal stresses. The thermal expansion coefficient is different for different materials. In the present paper, the design of a mathematical model concerning the thermal stresses in hollow cylinder subject to the heat conduction with initial and boundary conditions have developed. The basic aim of this work is related to calculations of thermal stresses and thermoelastic displacement in the hollow cylinder by using the reduced differential transform method. The analytical solution is satisfied with the aim of special cases for the copper material properties. The numerical results are illustrated graphically by using mathematical software SCILAB.
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来源期刊
CiteScore
0.70
自引率
33.30%
发文量
20
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