Effect of non‐local modified couple stress theory on the responses of axially moving thermoelastic nano‐beams

IF 2.3 4区 工程技术 Q1 MATHEMATICS, APPLIED
Ahmed E. Abouelregal
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引用次数: 0

Abstract

Abstract The present study examines the lateral thermal vibrations of a nanobeam subjected to an axial motion while being influenced by a sinusoidal thermal load. The partial differential equation describing the system was obtained using the extended Hamiltonian principle. Also considered were the Euler‐Bernoulli (EB) beam, the nonlocal couple stress theory, and Eringen's nonlocal elasticity model. This type of axially moving beam has multiple applications in design, including industrial, civil, structural, chemical, and computer engineering. The Laplace transform technique is utilized to translate partial differential equations into a thermoelastic differential equation of the sixth order. This study investigates the impact of nanobeam size and velocity on thermo‐mechanical characteristics. To explore the impacts of axial velocity, pulse width, nonlocal index, material length scale coefficient, and phase lag coefficients on the examined studied fields, such as lateral vibration and temperature change for the moving nanobeam are calculated. The specified factors were discovered to impact the flexibility and dynamic response of the nanobeam substantially.
非局部修正耦合应力理论对轴向运动热弹性纳米梁响应的影响
摘要:本研究考察了受正弦热载荷影响的轴向运动纳米梁的横向热振动。利用扩展哈密顿原理,得到了描述该系统的偏微分方程。还考虑了欧拉-伯努利(EB)梁、非局部耦合应力理论和Eringen的非局部弹性模型。这种轴向移动梁在设计中有多种应用,包括工业、土木、结构、化学和计算机工程。利用拉普拉斯变换技术将偏微分方程转化为六阶热弹性微分方程。本研究探讨了纳米梁的尺寸和速度对热力学特性的影响。为了探讨轴向速度、脉冲宽度、非局部指数、材料长度尺度系数和相位滞后系数对运动纳米梁横向振动和温度变化等研究场的影响。研究发现,特定的因素对纳米梁的柔韧性和动态响应有很大的影响。
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
CiteScore
3.30
自引率
8.70%
发文量
199
审稿时长
3.0 months
期刊介绍: ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.
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