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Post-Critical Analysis of Joined Wings: the Concept of Snap-Divergence as a Characterization of the Instability

机译:连接翼的临界后分析:快速发散的概念是不稳定性的表征

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The concept of snap divergence and post-critical states are theoretically formulated for Joined Wings with the arc length technique. The true critical condition is compared with the divergence speed evaluated by solving an eigenvalue problem about a steady state equilibrium, showing how in some cases this last approach is not reliable and even nonconservative.The work assesses the difference of the nonlinear responses relative to mechanical loads (both conservative and follower ones) used to mimic the real loading condition and the aerodynamic forces.Two joined-wing configurations, characterized by a different location of the joint, are investigated. It is demonstrated that the lift/displacement response may hide the physical snap divergence occurrence, leading to non-physical interpretation of the stability properties of the system. Thus, as a consequence, use mechanical loading to mimic aerodynamic effects should be meditated since they may not give a reliable picture. Aeroelastic stiffening and softening effects are observed for the different cases, and it is discussed how practical instability situation may not be encompassed by the formal mathematical criterion (singularity of the system tangent matrix).Finally, physical interpretation of the static aeroelastic deformation is provided with particular emphasis on the conditions that lead to the snap divergence. The bending/torsion coupling at geometric (sweep angle of the wings) and material (composite materials) level for each wing can not be thought as an isolate property, since, due to the overconstrained nature of the system, the actions are transferred between different parts of the system. In other words, an intuitive approach that tries to fine tune the design of a part as an isolate entity may not lead to meaningful results.
机译:理论上,采用弧长技术为接合翼制定了快速发散和后临界状态的概念。将真实的临界条件与通过解决稳态平衡的特征值问题而评估的发散速度进行比较,表明在某些情况下,这种最后的方法是不可靠甚至不保守的。这项工作评估了非线性响应相对于机械载荷的差异(保守的和随从的)用于模拟实际载荷条件和空气动力。研究了两种以关节位置不同为特征的联合机翼构型。结果表明,升力/位移响应可能掩盖了物理快速发散的发生,从而导致了系统稳定性特性的非物理解释。因此,应考虑使用机械载荷来模拟空气动力效应,因为它们可能无法提供可靠的图像。在不同情况下观察到了气动弹性的增强和软化效果,并讨论了形式化数学准则(系统切线矩阵的奇异性)如何不涵盖实际的不稳定性情况。最后,提供了对静态气动弹性变形的物理解释。特别强调导致快速分散的条件。每个机翼在几何(机翼的后掠角)和材料(复合材料)水平上的弯曲/扭转耦合不能被认为是孤立的属性,因为由于系统的过度约束,作用在不同的系统之间转移。系统的各个部分。换句话说,尝试将零件的设计微调为独立实体的直观方法可能不会导致有意义的结果。

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