Nonlinear free vibration of multi-stepped beams made of functionally graded triply periodic minimal surface materials with FG-GPLRC reinforcements

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-04-17 DOI:10.1016/j.enganabound.2025.106271

Suppakit Eiadtrong , Tan N. Nguyen , Nuttawit Wattanasakulpong

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引用次数: 0

Abstract

Stepped beams are crucial in various structural engineering applications. This investigation aims to explore linear and nonlinear vibrational behaviors of multi-stepped beams made of functionally graded triply periodic minimal surface materials with various patterns of graphene platelet (GPL) reinforcements through the thickness. The first order shear deformable theory coupled with von Kármán strains is employed to establish the equations of motion for describing linear and nonlinear vibrations of the beams. To solve the aforementioned problems, a numerical technique based on the generalized Ritz method cooperating with the Fourier sine functions and nodal Lagrangian polynomials is proposed to create the global system composed of several beam sections. The prime factors, such as number of beam steps, step ratio, porous and GPL distributions, boundary conditions, and others, which significantly influence the vibration of the beams, are rigorously investigated. According to the obtained results, in terms of the geometry of the beam, the increase in the number of beam steps and step ratio causes the frequency to rise.

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FG-GPLRC增强功能梯度三周期最小表面材料多层梁的非线性自由振动

阶梯梁在各种结构工程应用中起着至关重要的作用。本研究旨在探讨具有不同厚度的石墨烯血小板（GPL）增强的功能梯度三周期最小表面材料制成的多阶梯梁的线性和非线性振动行为。采用一阶剪切变形理论结合von Kármán应变建立了描述梁的线性和非线性振动的运动方程。为了解决上述问题，提出了一种基于广义里兹方法的数值技术，结合傅里叶正弦函数和节点拉格朗日多项式，建立了由多个梁段组成的全局系统。对梁阶数、阶跃比、多孔性和GPL分布、边界条件等影响梁振动的主要因素进行了严格的研究。根据得到的结果，从梁的几何形状来看，梁阶数和阶跃比的增加会导致频率的升高。

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

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.