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工程设计学报
工程设计学报  2021, Vol. 28 Issue (2): 210-217    DOI: 10.3785/j.issn.1006-754X.2021.00.018
建模、仿真、分析与决策     
热流温度场下功能梯度板的热问题研究
刘超, 刘文光
南昌航空大学 航空制造工程学院， 江西 南昌 330063
Study on thermal problems of functionally graded plate under heat flux temperature field
LIU Chao, LIU Wen-guang
School of Aeronautic Manufacturing Engineering， Nanchang Hangkong University， Nanchang 330063， China
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摘要： 功能梯度材料因其内部组分沿着空间位置连续变化，能有效缓解热应力集中等现象，在高超音速飞行器的热防护系统设计中具有良好的应用前景。以金属-陶瓷功能梯度板为研究对象，探讨在不同热环境下功能梯度板热传导、热变形和热应力的变化规律。首先，基于功能梯度材料的幂律分布模型，分析了线性温度场、正弦温度场、热流温度场和非线性温度场四种热环境对功能梯度材料物理特性的影响。其次，基于有限元分层建模思想，通过Python编程建立了功能梯度板的有限元模型。仿真分析了在热流温度场下功能梯度板在不同板厚、陶瓷体积分数指数和热流密度等参数条件下热传导、热变形和热应力的变化规律。最后，探讨了基于参数调控的改善功能梯度板热防护性能的方法。结果表明：用功能梯度材料设计飞行器热防护板时，陶瓷体积分数指数应小于5.0；在热流温度场下，功能梯度板的厚度为7.2~9.0 mm、陶瓷体积分数指数为1.0~2.5时，可实现功能梯度板的轻质和高效隔热；热流密度一定时，调整飞行时间对确保飞行器安全至关重要；热流密度应限制在5~10 mW/mm2以控制功能梯度板的变形。研究结论对于热流温度场下金属-陶瓷功能梯度板的热防护设计具有参考价值。
Abstract: Functionally graded material (FGM) has good application prospects in the design of thermal protection system of hypersonic aircraft because of the continuous variation of internal components along the space position, which can effectively alleviate thermal stress concentration and other phenomena. Taking the metal-ceramic functionally graded plate as the research object, the changing rules of heat conduction, thermal deformation and thermal stress of the functionally graded plate under different thermal environments were discussed. Firstly, based on the power-law distribution model of FGM, the effects of four kinds of thermal environments, including linear temperature field, sinusoidal temperature field, heat flux temperature field and nonlinear temperature field, on the physical properties of FGM were analyzed. Secondly, based on the idea of finite element layered modeling, the finite element model of functionally graded plate was established by Python programming. The changing rules of heat conduction, thermal deformation and thermal stress of functionally graded plate in heat flux temperature field under different plate thickness, ceramic volume fraction index and heat flux density and other parameters were simulated and analyzed. Finally, the method of improving the thermal protection performance of functionally graded plate based on parameter control was discussed. The results showed that when using FGM to design aircraft thermal protection panel, the ceramic volume fraction index should be less than 5.0; under heat flux temperature field, the thickness of the functionally graded plate was 7.2-9.0 mm, and the ceramic volume fraction index was 1.0-2.5, which could realize the light weight and efficient heat insulation of functionally graded plate; when the heat flux density was constant, it was of vital importance to adjust the flight time to guarantee the safety of aircraft; the heat flux density should be limited to 5-10 mW/mm2 to control the deformation of functionally graded plate. The research conclusions have reference value for the thermal protection design of metal-ceramic functionally graded plate under heat flux temperature field.
收稿日期: 2019-12-04 出版日期: 2021-04-28
:  TH 14  
基金资助: 国家自然科学基金资助项目（51965042）；江西省自然科学基金资助项目（20181BAB206023）
作者简介: 刘文光（1978—），男，江西泰和人，副教授，博士，从事飞行器结构强度及其动力学研究，E-mail:liuwg14@nchu.edu.cn，https://orcid.org/0000-0002-4218-0287；
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引用本文:

刘超, 刘文光. 热流温度场下功能梯度板的热问题研究[J]. 工程设计学报, 2021, 28(2): 210-217.

LIU Chao, LIU Wen-guang. Study on thermal problems of functionally graded plate under heat flux temperature field. Chinese Journal of Engineering Design, 2021, 28(2): 210-217.

链接本文:

https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn.1006-754X.2021.00.018    或    https://www.zjujournals.com/gcsjxb/CN/Y2021/V28/I2/210

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