考虑点质量与重流体相互作用的基于非局部弹性理论的伯努利 - 欧拉纳米梁的自由振动

Free Vibrations of Bernoulli-Euler Nanobeams with Point Mass Interacting with Heavy Fluid Using Nonlocal Elasticity.

作者信息

Barretta Raffaele, Čanađija Marko, Marotti de Sciarra Francesco, Skoblar Ante

机构信息

Department of Structures for Engineering and Architecture, University of Naples Federico II, 80138 Naples, Italy.

Department of Engineering Mechanics, Faculty of Engineering, University of Rijeka, 51000 Rijeka, Croatia.

出版信息

Nanomaterials (Basel). 2022 Aug 4;12(15):2676. doi: 10.3390/nano12152676.

DOI:10.3390/nano12152676

PMID:35957106

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9370093/

Abstract

Eigenfrequencies of a nanobeam with a point mass interacting with a heavy fluid are calculated using Bernoulli-Euler kinematics and consistent nonlocal elasticity model. The proposed approach is applicable to a variety of nanotechnology materials and structures, especially mass nanosensors. Eigenfrequencies are compared with those of local theory and conclusions are drawn. Influence of nonlocal effects, heavy fluid interaction and added point mass on dynamic responses is analyzed and the results are documented. Size phenomena are noted and discussed.

摘要

利用伯努利 - 欧拉运动学和一致的非局部弹性模型计算了与重流体相互作用的带有点质量的纳米梁的固有频率。所提出的方法适用于多种纳米技术材料和结构，特别是质量纳米传感器。将固有频率与局部理论的结果进行比较并得出结论。分析了非局部效应、重流体相互作用和附加点质量对动态响应的影响，并记录了结果。注意到并讨论了尺寸现象。