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结合有限元法 ,提出了线性和非线性瞬态温度场灵敏度分析的精细积分方法。在精细积分法求解线性和非线性温度场的基础上 ,采用敏度分析的半解析法 ,推导了瞬态温度场灵敏度分析的精细积分列式。指出对于线性热传导问题 ,精细积分法求解敏度方程同样具有稳定、高精度的数值特性 ,而且能避免常规差分法的数值振荡现象。对于非线性热传导问题 ,提出了相应的求解办法。算例表明了算法的有效性
Combined with the finite element method, a precise integration method of linear and nonlinear transient temperature field sensitivity analysis is proposed. Based on the precise integral method for solving the linear and nonlinear temperature fields, the semi-analytical method of sensitivity analysis was used to derive the precise integral formulas of the sensitivity analysis of transient temperature field. It is pointed out that for the problem of linear heat conduction, the precision integral equation solves the sensitivity equation with the same stable and high-precision numerical characteristics and avoids the numerical oscillation of the conventional differential method. For the problem of nonlinear heat conduction, a corresponding solution is proposed. The example shows the effectiveness of the algorithm