{"title":"Vibration analysis of functionally graded nanobeam in thermal environment","authors":"Chen Chen, Haowen Yan","doi":"10.1016/j.mechrescom.2025.104471","DOIUrl":null,"url":null,"abstract":"<div><div>Functionally graded (FG) nanobeams, as a key application of functionally graded materials (FGMs), demonstrate unique thermomechanical properties that make them particularly suitable for Micro-electromechanical Systems (MEMS) and other nanoscale applications. This study presents an analytical approach for investigating their vibration characteristics under linear and nonlinear temperature fields. The model integrates Euler–Bernoulli beam theory with nonlocal elasticity theory, thereby simultaneously capturing material gradation effects and size-dependent phenomena. A novel analytical framework is developed by applying the transfer function method (TFM) for the first time to the nonlocal Euler–Bernoulli beam model, enabling efficient analytical solution for natural frequencies. Unlike traditional numerical methods, the proposed method enhances computational efficiency and allows unified treatment of various boundary conditions. Numerical studies are conducted to comprehensively evaluate the effects of environment fields, constituent volume distribution, slenderness ratio, nonlocal parameters, and boundary conditions on the vibration behavior of FG nanobeams. The results offer valuable insights for the design and optimization of MEMS devices, thermally stressed aerospace components, and microscale biomedical structures operating in complex thermal environments.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104471"},"PeriodicalIF":1.9000,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics Research Communications","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0093641325001041","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
Functionally graded (FG) nanobeams, as a key application of functionally graded materials (FGMs), demonstrate unique thermomechanical properties that make them particularly suitable for Micro-electromechanical Systems (MEMS) and other nanoscale applications. This study presents an analytical approach for investigating their vibration characteristics under linear and nonlinear temperature fields. The model integrates Euler–Bernoulli beam theory with nonlocal elasticity theory, thereby simultaneously capturing material gradation effects and size-dependent phenomena. A novel analytical framework is developed by applying the transfer function method (TFM) for the first time to the nonlocal Euler–Bernoulli beam model, enabling efficient analytical solution for natural frequencies. Unlike traditional numerical methods, the proposed method enhances computational efficiency and allows unified treatment of various boundary conditions. Numerical studies are conducted to comprehensively evaluate the effects of environment fields, constituent volume distribution, slenderness ratio, nonlocal parameters, and boundary conditions on the vibration behavior of FG nanobeams. The results offer valuable insights for the design and optimization of MEMS devices, thermally stressed aerospace components, and microscale biomedical structures operating in complex thermal environments.
期刊介绍:
Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide:
• a fast means of communication
• an exchange of ideas among workers in mechanics
• an effective method of bringing new results quickly to the public
• an informal vehicle for the discussion
• of ideas that may still be in the formative stages
The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.