Geometrically nonlinear oscillations of composite sandwich cylindrical shell with honeycomb core under axial time periodic force

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2025-06-25 DOI:10.1016/j.ijnonlinmec.2025.105196

B. Uspensky , K. Avramov , S. Malyshev , O. Nikonov

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引用次数: 0

Abstract

Cylindrical composite sandwich shell, which consists of two outer layers and thick honeycomb core, is considered. The outer thin layers are manufactured from composite orthotropic material and honeycomb core is manufactured from orthotropic plastic.

Parametric nonlinear oscillations of cylindrical shell under the action longitudinal time periodic force are considered. The honeycomb core is homogenized. As a result, orthotropic solid continuum is obtained. Stressed state of every layer is described by higher order shear theory, which uses five generalized displacements (three displacements projections and two rotations angles of normal to middle surfaces). The assumed-mode method is applied to obtain the system of nonlinear ordinary differential equations with respect to the generalized coordinates to describe the sandwich structure vibrations.

The shooting technique and continuation method are applied jointly to analyze the nonlinear oscillations, their stability and bifurcations. The geometrically nonlinear oscillations are considered in the principal parametric resonances with account of internal resonances. Stability and bifurcations of periodic motions are shown on the frequency response, which describes the structure nonlinear dynamics in principle parametric resonances.

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轴向时间周期力作用下蜂窝芯复合材料夹层圆柱壳的几何非线性振动

研究了由两层外层和厚蜂窝芯组成的圆柱形复合夹层壳。外层薄层由复合正交异性材料制成，蜂窝芯由正交异性塑料制成。考虑了圆柱壳在纵向时间周期力作用下的参数非线性振动。蜂窝芯均匀化。得到正交各向异性固体连续体。每层的受力状态用高阶剪切理论来描述，该理论使用5个广义位移（3个位移投影和2个法向-中间面的旋转角）。采用假设模态法，得到了在广义坐标下描述夹层结构振动的非线性常微分方程组。采用射击法和延拓法对非线性振动、稳定性和分岔进行了分析。在考虑内共振的情况下，考虑了主参数共振的几何非线性振荡。频率响应表现出周期运动的稳定性和分岔性，从原理上描述了结构的非线性动力学参数共振。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.