Dynamic analysis of geometrically imperfect sandwich beams subjected to moving load and a porosity-dependent GPLRC core

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2025-03-28 DOI:10.1007/s00707-025-04245-5

Shiying Zhang, Shuna Zhang, Guotai Weng, Zhixin Wu

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Abstract

This paper presents a numerical approach for the dynamical response of geometrically imperfect multilayered beams subjected to a moving load. The multilayer beam with a porosity-dependent nanocomposite core and titanium alloy layers is analyzed based on a high-order shear deformation theory including hyperbolic functions. The large deflection assumptions are also included into the formulations. The core of the multilayer beam consists of six porous aluminum layers where each of them are reinforced by graphene platelets (GPLs) with different values of porosity. The equations of motion are determined using the Lagrange’s equation and are solved by the Ritz solution method for three different boundary conditions. The effects of porosity coefficient and graded pattern of aluminum constituents and their distributions on the forced vibrations are analyzed. Also, the effects of the length-to-thickness ratio and the weight fraction of GPLs are examined and compared. A good agreement is determined by comparing our formulation with other available works in the literature.

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几何缺陷夹层梁在移动荷载和孔隙度相关GPLRC芯下的动力分析

本文提出了几何不完美多层梁在移动荷载作用下的动力响应的数值计算方法。基于含双曲函数的高阶剪切变形理论，对孔隙率相关纳米复合材料芯层和钛合金层的多层梁进行了分析。大挠度假设也包括在公式中。多层梁的核心由六个多孔铝层组成，其中每个铝层都由具有不同孔隙率的石墨烯片（gpl）增强。在三种不同的边界条件下，用拉格朗日方程确定运动方程，用里兹解法求解。分析了孔隙率系数和铝成分的梯度模式及其分布对受迫振动的影响。此外，还考察和比较了gpl的长厚比和重量分数的影响。通过将我们的公式与文献中其他可用的作品进行比较，确定了良好的一致性。

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

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.