为了推动功能梯度材料(FGM)在高超音速飞行器热防护结构设计中的应用，旨在探讨不同温度场对热防护壳模态频率的影响，提供热防护壳动力学设计参考。从陶瓷金属基FGM的热物性参数模型入手，结合圆柱薄壳能量原理，建立FGM圆柱壳的模态方程。在此基础上，首先分析热物性参数变化规律对FGM壳模态频率的影响，然后探讨考虑热应力后不同热环境下FGM壳模态频率的变化规律。结果表明，FGM物性参数变化对模态频率的影响没有热力耦合影响明显；温度梯度小于300K时，物性参数变化对模态频率起主导作用，反之温度梯度大于300K时，热应力和热变形对模态频率起主导作用。
Abstract
In order to promote the application of functionally graded materials (FGMs) in the structure of thermal protection systems,the aim of this work is to study the impacts of different temperature fields on the modal frequencies of thermal protection shells and to provide some methods for dynamical design of hypersonic aircrafts. Starting from the thermal-physical property model of the ceramic and metal based FGMs,the modal frequency equation of an FGM shell was derived by using the energy principle. Thereafter,the impacts of the change law of thermal physical properties on modal frequencies were analyzed. And the change law of modal frequency of the FGM shell with thermal stress was discussed under different thermal conditions. Results indicate that the impacts of the change of physical properties on the modal frequency are less than that of thermal-mechanic coupling on the modal frequency. The change law of physical properties plays a main role on modal frequency when the temperature grade below 300 K while the thermal stress and strain plays a main role when the temperature grade above 300 K.
关键词
热环境 /
热防护系统 /
功能梯度材料 /
模态频率
{{custom_keyword}} /
Key words
thermal environment /
thermal protection system /
functionally graded material /
modal frequency
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 李海燕,唐志共,杨彦广,等.高超声速飞行器高温流场数值模拟面临的问题[J].航空学报, 2015,36(1): 176- 191.
Li Haiyan, Tang Zhi-gong, Yang Yang-guang, etc. Problems of numerical simulation of high-temperature gas flow fields for hyper-sonic vehicles [J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(1):176– 191 (in Chinese).]
[2] Mokhtar B, Abedlouahed T, Abbas A, .etc. Buckling analysis of functionally graded plates with simply supported edges [J]. Leonardo Journal of Sciences, 2009, 8(15):21-32.
[3] Shukla K. Nonlinear static and dynamic analysis of functionally graded plates [J]. International Journal of Applied Mechanical and Engineering, 2006, 11 (3): 679-698.
[4] Praveen G, Reddy J. Nonlinear transient thermo- elastic analysis of functionally graded ceramic-metal plates[J].International Journal of Solids and Structures, 1998, 35(33): 4457-4476.
[5] Zhao X, Lee Y, Liew K. Free vibration analysis of functionally graded plates using the element-free Kp-Ritz method [J]. Journal of Sound and Vibration, 2009,319 (3-5):918-939.
[6] Huang X, Shen H. Nonlinear vibration and dynamic response of functionally graded plates in thermal environments [J]. International Journal of Solids and Structures, 2004, 41 (9-10): 2403-2427.
[7] Kim Y. Temperature dependent vibration analysis of functionally graded rectangular plates [J]. Journal of Sound and Vibration, 2005,284 (3-5): 531-549.
[8] Sundararajan N, Prakash T, Ganapathi M. Nonlinear free flexural vibrations of functionally graded rectangular and skew plates under thermal environments [J]. Finite Elements in Analysis and Design, 2005, 42 (2):152-168.
[9] Yang J, Shen H. Vibration characteristics and transient response of shear-deformable functionally graded plates in thermal environments [J]. Journal of Sound and Vibration, 2002, 255(3): 579-602.
[10] 滕兆春,蒲育.温度影响下FGM圆环板的面内自由振动分析[J]. 振动与冲击, 2015, 34(9):210-217.
Teng Zhao-chun, Pu Yu. In-plane free vibration of FGM annular plates considering temperature effect [J]. Journal of Vibration and Shock, 2015, 34(9): 210–217 (in Chinese).
[11] Alijani F, Bakhtiari N, Amabili M. Nonlinear vibrations of FGM rectangular plates in thermal environments [J]. Nonlinear Dynamics, 2011, 66(3): 251-270.
[12] 王宇,罗忠.薄壁圆柱壳构件受迫振动的响应特征研究[J]. 振动与冲击, 2015,34(7):103-108.
Wang Yu, Luo Zhong. Study on response characteristics for forced vibrations of thin cylindrical shell [J]. Journal of Vibration and Shock, 2015, 34(7): 103–108(in Chinese).
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(2261 KB)
