【摘要】 应用杜哈美尔定理推导得到了火灾高温下混凝土柱二维温度场的解析解计算表达式。因为混凝土的热扩散系数随温度变化,在温度场计算中采用了时间差分法。应用Matlab编程计算得到了柱温度场的解析解结果。得到:计算结果与实验结果在靠近边界处基本吻合,误差只有2.5%,且边界处正是最先发生破坏的位置;截面温度变化趋势基本一致,从边界到中心区域温度逐渐降低。说明该解析解计算公式可以用来确定火灾高温下混凝土柱的截面温度场分布。更多还原

【Abstract】 The formulas of the analytical solutions of the two-dimensional temperature field in the concrete column on fire are deduced by the Duhamel theorem. Time difference method is used to consider the coefficient of thermal diffusion change with temperature. The analytical solutions are obtained through MATLAB software programming. The results are consistent with the experimental results at the boundary, where failure happens firstly, and the temperature distributions on the section have the same variation trend. So the formulas are suitable for solving the temperature field in the concrete column on fire.更多还原