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Postbuckling Analysis of Composite Panel under Shear Load

机译:剪切载荷下复合面板的出现分析

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Mass minimisation is a key objective in aircraft design which can reduce the material cost,fuel consumption and environmental impact. To achieve this objective, composite materialsare often used to replace traditional metals in order to increase the strength to weight ratio.Additionally stiffened wing and fuselage panels often have a postbuckling reserve of strength,enabling them to carry loads far in excess of their critical buckling loads. Therefore allowingfor postbuckling in design can reduce their weight (Che et al., 2010).The software VICONOPT (Kennedy and Featherston, 2007) performs initial buckling,post-buckling and free vibration analysis of metal or composite prismatic stiffened panels,using an exact strip method and the Wittrick-Williams algorithm (Wittrick and Williams,1973). However the post-buckling analysis in VICONOPT assumes that the deflections of theplate assembly vary sinusoidally in the longitudinal direction (Che et al., 2010).The present paper extends the post-buckling analysis in VICONOPT to more accuratelyreflect the skewed mode shapes arising from shear load and anisotropy. Such mode shapes arerepresented by a series of sinusoidal responses with different wavelengths which are coupledtogether using Lagrangian multipliers to enforce the boundary conditions (Anderson et al.,1983),. The governing equilibrium equations therefore involve infinitely many unknowns andcannot be solved exactly. However suitable accuracy is achieved by truncating the series aftera few wavelengths. In postbuckling analysis it is found that the in-plane deflections involveresponses with additional wavelengths which are absent from the out-of-plane deflectionseries. Numerical results are presented and compared with finite element analysis forvalidation.
机译:大众最小化是飞机设计的关键目标,可以降低材料成本,燃料消耗和环境影响。实现这一目标,复合材料通常用于取代传统金属以增加强度以重量比。另外加强的翼和机身面板经常具有后置的力量储备,使他们能够携带远远超过其关键屈曲负荷的负荷。因此允许在设计中,设计可以减轻体重(Che等,2010)。Viconopt软件(肯尼迪和福伯斯顿,2007)执行初始屈曲,金属或复合棱镜加强面板的后屈曲和自由振动分析,使用精确的条带方法和Wittrick-Williams算法(Wittrick-Williams,1973)。然而,Viconopt的后屈曲分析假定了偏转板组件在纵向方向上正弦地变化(Che等,2010)。本文将Viconopt的后屈曲分析更加准确地延长反映由剪切载荷和各向异性引起的偏斜模式形状。这种模式形状是由一系列具有耦合的不同波长的正弦响应表示使用拉格朗日乘法器一起强制边界条件(Anderson等,1983)。因此,控制均衡方程涉及无限的许多未知数无法完全解决。然而,通过截断序列之后实现合适的精度几个波长。在突发分析中,发现面内偏转涉及响应来自平面外偏转的额外波长系列。提出了数值结果,并与有限元分析进行了比较验证。

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