Large amplitude vibration characteristic of the sandwich nanocomposite doubly curved shells

IF 4.4 3区工程技术 Q1 ENGINEERING, CIVIL

Archives of Civil and Mechanical Engineering Pub Date : 2025-01-09 DOI:10.1007/s43452-024-01109-y

E. Mohammad-Rezaei Bidgoli, Mohammad Arefi

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Abstract

This paper investigates large amplitude vibration responses of a sandwich nanocomposite doubly curved shell composed of a honeycomb core integrated with graphene nanoplatelets reinforced curved face sheets. The kinematic relations are developed with accounting von Karman nonlinear strain components and shear deformable model. The large amplitude governing motion’s equations are derived using Hamilton’s principle. The effective geometric and material composition-dependent properties are estimated using the Gibson's formula and Halpin–Tsai relations for the core and attached layers, respectively. The Galerkin’s approach is employed to convert governing equations to the time-dependent differential equations and finally the perturbation technique and modified Poincare–Lindstedt method are employed to obtain large amplitude nonlinear responses. The results are presented to investigate the impact of geometric parameters of the honeycomb core and material compositions of nanocomposite layers on the nonlinear vibration characteristics of the doubly curved shell. A verification study is presented to valid employed numerical results.

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夹层纳米复合材料双弯曲壳的大振幅振动特性

研究了由蜂窝芯和石墨烯纳米片增强曲面片组成的夹层纳米复合材料双弯曲壳的大振幅振动响应。利用von Karman非线性应变分量和剪切变形模型建立了运动关系。利用哈密顿原理推导了大振幅运动控制方程。利用Gibson公式和Halpin-Tsai关系分别对核心层和附着层的有效几何和材料成分相关性质进行了估计。采用伽辽金方法将控制方程转化为随时间变化的微分方程，最后采用摄动技术和改进的poincarel - lindstedt方法获得大振幅非线性响应。研究了蜂窝芯的几何参数和纳米复合材料层的材料组成对双弯曲壳非线性振动特性的影响。对有效的数值计算结果进行了验证研究。

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

Archives of Civil and Mechanical Engineering 工程技术-材料科学：综合

CiteScore

6.80

自引率

9.10%

发文量

201

审稿时长

4 months

期刊介绍： Archives of Civil and Mechanical Engineering (ACME) publishes both theoretical and experimental original research articles which explore or exploit new ideas and techniques in three main areas: structural engineering, mechanics of materials and materials science. The aim of the journal is to advance science related to structural engineering focusing on structures, machines and mechanical systems. The journal also promotes advancement in the area of mechanics of materials, by publishing most recent findings in elasticity, plasticity, rheology, fatigue and fracture mechanics. The third area the journal is concentrating on is materials science, with emphasis on metals, composites, etc., their structures and properties as well as methods of evaluation. In addition to research papers, the Editorial Board welcomes state-of-the-art reviews on specialized topics. All such articles have to be sent to the Editor-in-Chief before submission for pre-submission review process. Only articles approved by the Editor-in-Chief in pre-submission process can be submitted to the journal for further processing. Approval in pre-submission stage doesn''t guarantee acceptance for publication as all papers are subject to a regular referee procedure.