轴对称稳定温度场中混凝土圆柱体热应力的解析分析

The Analysis of Thermal Stress of Concrete Cylinder in the Steady Ax-symmetric Temperature Field

混凝土圆筒或圆柱体内部会在温度场的作用下产生热应力。文中对圆筒在轴向温度有变化情况下轴对称稳定温度场中的热应力进行了解析分析,得到了解析解的完整形式;利用指数函数和三角函数的性质,探讨了待定系数的解法;通过布点对Φ200×550 mm3混凝土圆柱体进行温度测试,而后利用解析结果、测温试验结果、Matlab给出了温度测试中混凝土圆柱体的计算实例。结果表明:轴对称稳定温度场中,受热温度由100℃变为120℃时,混凝土圆柱体应力分布的形状没有改变,内部的应力值处于同一个数量级,应力范围增大了0.4倍左右。

The temperature field will generate thermal stress in the concrete cylinder. The thermal stress for mutative axial temperature in the steady ax-symmetric temperature field is analyzed, then the full ana- lytical solution is obtained and the solution of undetermined coefficents is discussed using the property of power and trigonometric function. Based on the results of temperature testing by temperature sensor de- posited beforehand and analytical solution, the numerical examples about the φ200 × 550 mm^3 concrete cylinder are given by Matlab. By the analysis, the conclusions can be got as the follows： the distribution of thermal stress in concrete cylinder wouldn＇t change, the values of stress would be in the same order of magnitude, and the range of stress would increase 40 percents nearly in the steady ax-symmetric tempera- ture field as temperature has transformed from 100 ℃ to 120 ℃.