【摘要】 探讨了低温环境温度下带有加热保温设计的尾支杆减振系统的温度场分布。首先简化并利用偏微分热传导方程建立了减振结构的模型。其次,采用二维Du Fort-Frankel有限差分格式离散化热传导方程,并编程迭代得到了不同位置处加热膜驱动时,压电叠堆瞬态温度场的数值解。然后,利用低温箱模拟低温环境进行实验验证温度场的数值分析结果。最后,将有限差分结果分别与有限元稳态结果和实验瞬态数据进行比较。对比结果表明:有限差分法的结果与有限元、实验结果基本吻合,但所需的计算时间更短,是一种有效的预测其温度场的方法。通过有限差分法获得的温度场分布结果可以验证加热系统的保温性能,并为压电叠堆的温度控制提供数据基础。更多还原

【Abstract】 This paper discusses the temperature field distribution of piezoelectric stack with heating and thermal insulation device in cryogenic temperature environment. Firstly,the model of the piezoelectric damper is simplified and established by using partial-differential heat conduction equation. Secondly,the two-dimensional Du Fort-Frankel finite difference scheme is used to discretize the thermal conduction equation,and the numerical solution of the transient temperature field of piezoelectric stack driven by heating film at different positions is obtained by programming iteration. Then,the cryogenic temperature cabinet is used to simulate the low temperature environment to verify the numerical analysis results of the temperature field. Finally,the finite difference results are compared with the finite results and the experimental data in steady state and transient state,respectively. Comparison shows that the results of the finite difference method are basically consistent with the finite element and the experimental results,but the calculation time is shorter. The temperature field distribution results obtained by the finite difference method can verify the thermal insulation performance of the heating system and provide data basis for the temperature control of piezoelectric stack.更多还原