热环境下不同变量对功能梯度材料壳振动模态的影响
Impacts of Different Parameters on the Vibration Modal of a Shell with Functionally Graded Materials under Thermal Environment
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摘要: 为推进功能梯度材料(FGM)在导弹热防护系统中的应用,旨在研究导弹体热防护壳在不同变量条件下振动模态的变化规律。在建立FGM圆柱壳动力学方程的基础上,借助FGM的热物性参数模型,通过数值计算探讨了陶瓷体积分数指数、热应力以及弹体厚度对FGM壳振动模态的影响。结果表明:陶瓷体积分数指数和热应力对弹体振型无明显影响,弹体振动频率变化是热物性参数变化和热应力变化综合作用的结果,陶瓷体积分数对振动频率影响不明显,弹体的振动频率随壳体厚度增加而增大。Abstract: In order to promote the application of functionally graded materials (FGMs) in the thermal protection systems of missile, the change laws of vibration modal for the thermal protection shell of a missile body under different variable quantity were studied. Firstly, based on the dynamic equation of a FGM shell, the thermal physical properties model of a FGM was employed to discuss the change law of the vibration modal of a FGMs shell with different ceramic volume fraction, thermal stress or thickness of missile body. Results indicate that the impacts of ceramic volume fraction on the modal shape of the missile body are unobvious; on the contrary it is very obvious to its vibration frequency. The change law of vibration frequency of the missile body is the results of interaction of thermal physics and thermal stress of the FGMs shell, the frequency increased by the increasing of thickness.