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石墨烯增强多孔功能梯度截锥壳的颤振与屈曲分析

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为研究高速气流和热荷载作用下石墨烯增强多孔功能梯度截锥壳的颤振与屈曲特性,用改进的Halpin-Tasi微观力学模型计算了壳体的有效材料参数,根据一阶剪切变形理论和一阶活塞理论建立了截锥壳的动力平衡方程,并用微分求积法求得颤振临界速度和屈曲临界温度的半解析解.通过数值算例讨论了边界条件、石墨烯、内部孔隙和温度等因素对颤振和屈曲临界温度的影响.研究结果显示:当壳体温度由300 K增至400 K时,颤振临界速度下降约28%,且气动压力提升了结构的屈曲温度;两端简支壳体的颤振临界速度比两端固定的高出约25%~34%,而其屈曲临界温度则低约3%~4%;石墨烯集中分布于壳体的内外表面比集中分布于中部的稳定性更好;颤振临界速度随孔隙系数的增大而减小,而不同孔隙分布类型下孔隙系数对屈曲临界温度的影响也不同.
Analysis of Flutter and Buckling of Graphene-Reinforced Porous Functionally Graded Truncated Conical Shells
To study the flutter and buckling characteristics of graphene-reinforced porous functionally graded truncated conical shells under high-speed airflow and thermal load,the effective material parameters of the shell are calculated using an improved Halpin-Tsai micromechanics model.The dynamic balance equations of the truncated conical shell are established based on the first-order shear deformation theory and the first-order pis-ton theory,and a semi-analytical solution for the critical flutter velocity and the critical buckling temperature is obtained using the differential quadrature method(DQM).The effects of boundary conditions,graphene reinforce-ment,internal porosity,and temperature on the flutter and buckling critical temperatures are discussed through numerical examples.The results show that the critical flutter velocity decreases by about 28%when the shell tem-perature increases from 300 K to 400 K,and the aerodynamic pressure increases the buckling temperature of the structure.The critical flutter velocity of a shell with simply supported ends is about 25%to 34%higher than that of a shell with fixed ends,while its critical buckling temperature is about 3%to 4%lower.The stability is better when graphene is concentrated on the inner and outer surfaces of the shell than when it is concentrated in the middle.The critical flutter velocity decreases with the increase of porosity coefficient,while the impact of the po-rosity coefficient on the critical buckling temperature also varies with different porosity distribution types.

graphene nano plateletsporesfunctionally graded materialsflutterbuckling

黄小林、王成哲、韦能国、肖薇薇

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桂林电子科技大学 建筑与交通工程学院,广西 桂林 541004

石墨烯纳米片 孔隙 功能梯度材料 颤振 屈曲

国家自然科学基金广西自然科学基金

121620102021GXNSFAA220087

2024

昆明理工大学学报(自然科学版)
昆明理工大学

昆明理工大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.516
ISSN:1007-855X
年,卷(期):2024.49(1)
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