Dynamics of FG nanobeams on nonlocal medium

IF 6.3 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES

Composite Structures Pub Date : 2025-04-12 DOI:10.1016/j.compstruct.2025.119057

Baidehi Das , Daniele Ussorio , Marzia Sara Vaccaro , Raffaele Barretta , Raimondo Luciano

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Abstract

Nanotechnology is central in several research fields, from bioengineering to energy harvesting, in which the topic of functionally graded (FG) nanobeams resting on nano-foundations is highly investigated in both static and dynamic contexts. In order to make the structure-foundation problem result to be well-posed, the Eringen–Wieghardt theory has been replaced with a novel nonlocal approach based on stress- and displacement-driven integral constitutive laws. This methodology provides nonlocal elastic curvature and foundation reaction fields as spatial convolutions driven by bending interaction and displacement fields, respectively. In this paper, an analytical approach is described to reverse the relevant integro-differential elastodynamic problem into an equivalent purely differential formulation. The relevant eigenanalysis of nanobeams resting on elastic foundations is carried out. Natural frequencies and mode shapes are evaluated for simple structural schemes of current interest in Nano-Engineering. The outcomes can be valuable for sustainable design and optimization of composite structural nanocomponents of modern small-scale systems.

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非局部介质上FG纳米梁的动力学

纳米技术是几个研究领域的核心，从生物工程到能量收集，其中基于纳米基础的功能梯度（FG）纳米梁的主题在静态和动态背景下都得到了高度研究。为了使结构-基础问题的结果是适定的，Eringen-Wieghardt理论被一种新的基于应力和位移驱动的积分本构律的非局部方法所取代。该方法将非局部弹性曲率场和基础反力场分别提供为弯曲相互作用和位移场驱动的空间卷积。本文描述了一种将相关的积分-微分弹性动力学问题转化为等价的纯微分公式的解析方法。对弹性基础上的纳米梁进行了相应的特征分析。固有频率和模态振型评估了当前纳米工程中感兴趣的简单结构方案。研究结果可为现代小尺度系统复合结构纳米部件的可持续设计和优化提供参考。

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来源期刊

Composite Structures 工程技术-材料科学：复合

CiteScore

12.00

自引率

12.70%

发文量

1246

审稿时长

78 days

期刊介绍： The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.