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首页> 外文期刊>Journal of thermal stresses >THIN-WALLED BEAMS MADE OF FUNCTIONALLY GRADED MATERIALS AND OPERATING IN A HIGH TEMPERATURE ENVIRONMENT: VIBRATION AND STABILITY
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THIN-WALLED BEAMS MADE OF FUNCTIONALLY GRADED MATERIALS AND OPERATING IN A HIGH TEMPERATURE ENVIRONMENT: VIBRATION AND STABILITY

机译：功能梯度材料制成的薄壁梁，在高温环境下运行：振动和稳定性

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In this study, problems related to the thermoelastic modeling and behavior of thin-walled beams made of functionally graded materials (FGMs) are addressed. In this context, two structural systems are considered: (ⅰ) rotating turbomachinery blades, and (ⅱ) thin-walled beam structures spinning about their longitudinal axis. In all these cases, the structures operate in a high temperature environment. Under the spinning speed, gyroscopic forces are generated. Although conservative in nature, under their influence, as in noncon-servative systems, instabilities by flutter and divergence can occur. In this context, the implications on their vibration and instability of conservative and gyroscopic forces considered in conjunction with a temperature field that yields the degradation of elastic properties are investigated. A continuously graded variation in composition of the ceramic and metal phases across the beam wall thickness in terms of a simple power law distribution is implemented. Results highlighting the effects of the volume fraction, temperature gradient, considered in conjunction with the temperature degradation of materials properties, compressive axial load and rotational/ spinning speed on vibration, and instability are presented and pertinent conclusions are drawn. The thin-walled structural beam model considered in this study is an advanced one. In this sense, in addition to the transverse shear and the secondary warping, the effect of the pretwist and nonuniformity of the beam cross-section along its span are considered. Both box-beams and circular cross-section spinning beams are considered in the analysis. Validation of the obtained results against those obtained via the Mori-Tanaka scheme is carried out, and excellent agreements are reported. In addition, issues related to the foundation, and behavior of geometrically nonlinear rotating / spinning thin-walled beams build-up of FGMs and operating in a temperature field are addressed. It should he stressed that the supplied results are based entirely on the research by these authors, and that there are no parallel works in the specialized literature on rotating / spinning systems made of functionally graded materials.
机译：在这项研究中，解决了与功能梯度材料（FGM）制成的薄壁梁的热弹性建模和行为有关的问题。在本文中，考虑了两个结构系统：（ⅰ）旋转的涡轮机械叶片，和（ⅱ）绕其纵轴旋转的薄壁梁结构。在所有这些情况下，这些结构都在高温环境下运行。在旋转速度下，产生了陀螺力。尽管本质上是保守的，但在其影响下（如在非保守系统中），可能会出现颤振和发散引起的不稳定性。在这种情况下，研究了结合温度场导致弹性性能下降的保守和陀螺力对其振动和不稳定性的影响。根据简单的功率定律分布，实现了横穿梁壁厚度的陶瓷和金属相的成分连续分级变化。提出了突出体积分数，温度梯度以及材料性能的温度下降，轴向压缩载荷和旋转/旋转速度对振动以及不稳定性的影响的结果，并得出了相关的结论。本研究中考虑的薄壁结构梁模型是一种先进的模型。从这个意义上讲，除了横向剪切和二次翘曲外，还考虑了梁截面沿其跨度的预扭转和不均匀性的影响。分析中同时考虑了箱形梁和圆形截面的自旋梁。相对于通过Mori-Tanaka方案获得的结果进行了验证，并报告了极好的协议。此外，还解决了与FGM的几何非线性旋转/旋转薄壁梁组合以及在温度场中运行有关的问题。应该强调的是，所提供的结果完全基于这些作者的研究，并且在有关功能分级材料制成的旋转/纺丝系统的专业文献中，没有类似的著作。

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