Dynamics of perforated higher order nanobeams subject to moving load using the nonlocal strain gradient theory

IF 2.1 3区 工程技术 Q2 ENGINEERING, CIVIL
A. Abdelrahman, Ismail ESEN, C. Özarpa, R. Shaltout, M. A. Eltaher, A. Assie
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引用次数: 10

Abstract

The goal of this manuscript is to develop a nonclassical size dependent model to study and analyze the dynamic behaviour of the perforated Reddy nanobeam under moving load including the length scale and microstructure effects, that not considered before. The kinematic assumption of the third order shear deformation beam theory in conjunction with modified continuum constitutive equation of nonlocal strain gradient (NLSG) elasticity are proposed to derive the equation of motion of nanobeam included size scale (nonlocal) and microstructure (strain gradient) effects. Mathematical expressions for the equivalent geometrical parameters due to the perforation process of regular squared pattern are developed. Based on the virtual work principle, the governing equations of motion of perforated Reddy nanobeams are derived. Based on Navier's approach, an analytical solution procedure is developed to obtain free and forced vibration response under moving load. The developed methodology is verified and checked with previous works. Impacts of perforation, moving load velocity, microstructure parameter and nonlocal size scale effects on the dynamic and vibration responses of perforated Reddy nanobeam structures have been investigated in a wide context. The obtained results are supportive for the design of MEMS/NEMS structures such as frequency filters, resonators, relay switches, accelerometers, and mass flow sensors, with perforation.
基于非局部应变梯度理论的高阶多孔纳米梁在移动载荷作用下的动力学研究
本文的目的是建立一个非经典的尺寸依赖模型来研究和分析移动载荷下穿孔Reddy纳米梁的动态行为,包括长度尺度和微观结构效应,这些都是以前没有考虑过的。采用三阶剪切变形梁理论的运动学假设,结合修正的非局部应变梯度(NLSG)弹性连续介质本构方程,推导出包含尺寸尺度(非局部)和微观结构(应变梯度)效应的纳米梁运动方程。建立了正则平方纹穿孔过程中等效几何参数的数学表达式。基于虚功原理,推导了多孔Reddy纳米梁的运动控制方程。在Navier方法的基础上,建立了移动载荷作用下自由振动响应和强迫振动响应的解析解程序。所开发的方法与以前的工作进行了验证和检查。在广泛的背景下,研究了穿孔、移动载荷速度、微观结构参数和非局部尺寸尺度效应对穿孔Reddy纳米梁结构动力和振动响应的影响。所获得的结果为MEMS/NEMS结构的设计提供了支持,如频率滤波器、谐振器、继电器开关、加速度计和质量流量传感器等。
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来源期刊
Smart Structures and Systems
Smart Structures and Systems 工程技术-工程:机械
CiteScore
6.50
自引率
8.60%
发文量
0
审稿时长
9 months
期刊介绍: An International Journal of Mechatronics, Sensors, Monitoring, Control, Diagnosis, and Management airns at providing a major publication channel for researchers in the general area of smart structures and systems. Typical subjects considered by the journal include: Sensors/Actuators(Materials/devices/ informatics/networking) Structural Health Monitoring and Control Diagnosis/Prognosis Life Cycle Engineering(planning/design/ maintenance/renewal) and related areas.
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