蜂窝夹层复合材料结构非线性传热分析

NONLINEAR HEAT TRANSFER OF HONEYCOMB SANDWICH COMPOSITE MATERIAL STRUCTURE

考虑材料热物性随温度变化的影响,针对蜂窝夹层复合材料结构的特点,假定其内部的瞬态温度场的分布状况,并在此假定的基础上基于三维各向异性热传导理论及复合材料层合结构传热分析的热叠层方法,提出一种针对蜂窝夹层复合材料结构的改进的计算方法,并推导出蜂窝夹层复合材料结构瞬态温度场分析的有限元方程。应用这种方法对热物性非线性蜂窝夹层复合材料板的瞬态温度场进行分析,数值算例结果显示了材料特性的非线性对蜂窝夹层复合材料板热传导的影响,只有非线性程度很小时忽略非线性因素导致的误差才可被忽略;当非线性程度较强烈时,考虑非线性因素的计算结果与忽略非线性因素的计算结果就会产生很大偏差。

Based on the characteristics of the honeycomb sandwich composite material structures, the transient temperature field of the structures is assumed. Depending on this assumption and with the concern of the effect of temperature on the heat characteristic of the material, a method for honeycomb sandwich composite material structure heat transfer is obtained. It is an improved approach based on the 3-D anisotropy heat transfer theory and the composite material thermal laminated theory. The corresponding FEM equations are also constructed. An example solved with this method is given at the end. There are three different levels for nonlinear heat characteristics of the material discussed in this example. The results of the numerical example show that the nonlinear factors can be neglected only when the degree of the nonlinearity is very weak, and in most instances the nonlinear factors can not be neglected at all.