Nonlinear resonant responses of a novel FGM sandwich cylindrical shell structure for supersonic flight vehicles based on 1:1 internal resonance between conjugate modes

IF 5 1区工程技术 Q1 ENGINEERING, AEROSPACE Aerospace Science and Technology Pub Date : 2024-07-05 DOI:10.1016/j.ast.2024.109372

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Abstract

A new design scheme for the functionally graded material (FGM) sandwich cylindrical shell structure made of ceramic-FGM-carbon fiber composites is proposed, which is geared towards supersonic flight vehicles and has high specific stiffness and high-temperature resistance. We focus on analyzing the nonlinear resonant responses of the novel FGM sandwich cylindrical shell subjected to external excitation and aerodynamic force. Firstly, the mechanical properties of the novel FGM sandwich material are calculated, and then the nonlinear dynamic model of the FGM sandwich cylindrical shell is established based on the first order shear deformation theory (FSDT) and Hamilton's principle. Due to the axisymmetric property of the cylindrical shell, a 1:1 internal resonance between the driven and companion modes always exists in the perfect cylindrical shell. Taking this into consideration, the nonlinear resonant response problems of the FGM sandwich cylindrical shell are numerically simulated by combining the Galerkin method and the pseudo-arc length continuation method. Finally, the effects of complex parameters such as external excitation, aerodynamic force, aspect ratio, gradient index, and skin-core-skin ratio on the nonlinear resonant responses of the FGM sandwich cylindrical shell are investigated.

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基于共轭模之间 1:1 内部共振的超音速飞行器新型 FGM 夹层圆柱壳结构的非线性共振响应

针对陶瓷-FGM-碳纤维复合材料制成的功能梯度材料（FGM）夹层圆柱形壳体结构提出了一种新的设计方案，该方案面向超音速飞行器，具有高比刚度和耐高温性能。我们重点分析了新型 FGM 夹层圆柱壳体在外部激励和空气动力作用下的非线性共振响应。首先计算了新型 FGM 夹层材料的力学性能，然后基于一阶剪切变形理论（FSDT）和汉密尔顿原理建立了 FGM 夹层圆柱壳的非线性动力学模型。由于圆柱形壳体的轴对称特性，在完美的圆柱形壳体中，驱动模态和伴生模态之间始终存在 1:1 的内部共振。考虑到这一点，我们结合 Galerkin 方法和伪弧长延续方法，对 FGM 夹层圆柱壳的非线性共振响应问题进行了数值模拟。最后，研究了外部激励、空气动力、长宽比、梯度指数和皮芯皮比等复杂参数对 FGM 夹层圆柱壳非线性共振响应的影响。

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来源期刊

Aerospace Science and Technology 工程技术-工程：宇航

CiteScore

10.30

自引率

28.60%

发文量

654

审稿时长

54 days

期刊介绍： Aerospace Science and Technology publishes articles of outstanding scientific quality. Each article is reviewed by two referees. The journal welcomes papers from a wide range of countries. This journal publishes original papers, review articles and short communications related to all fields of aerospace research, fundamental and applied, potential applications of which are clearly related to: • The design and the manufacture of aircraft, helicopters, missiles, launchers and satellites • The control of their environment • The study of various systems they are involved in, as supports or as targets. Authors are invited to submit papers on new advances in the following topics to aerospace applications: • Fluid dynamics • Energetics and propulsion • Materials and structures • Flight mechanics • Navigation, guidance and control • Acoustics • Optics • Electromagnetism and radar • Signal and image processing • Information processing • Data fusion • Decision aid • Human behaviour • Robotics and intelligent systems • Complex system engineering. Etc.