Free vibration analysis of bio-inspired helicoid laminated composite plates resting on elastic foundation using isogeometric analysis and artificial neural network
IF 2.1 4区 材料科学Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING
Ngoc-Tu Do, Truong Thanh Nguyen, Trung Thanh Tran, Pham Binh Le, Quoc-Hoa Pham
{"title":"Free vibration analysis of bio-inspired helicoid laminated composite plates resting on elastic foundation using isogeometric analysis and artificial neural network","authors":"Ngoc-Tu Do, Truong Thanh Nguyen, Trung Thanh Tran, Pham Binh Le, Quoc-Hoa Pham","doi":"10.1007/s11043-023-09649-1","DOIUrl":null,"url":null,"abstract":"<p>The main aim of this study is to further extend isogeometric analysis (IGA) based on higher-order shear deformation theory (HSDT) with Soldatos’s continuous function <span>\\(f(z)\\)</span> for examining the free vibration characteristics of bio-inspired helicoid laminated composite (BiHLC) plates resting on elastic foundation (EF). The foundation follows Pasternak’s model with springer stiffness (<span>\\(k_{1}\\)</span>) and shear stiffness (<span>\\(k_{2}\\)</span>). The governing equation is derived by using Hamilton’s principle. The performance of the proposed formula is confirmed by comparing the obtained results with those of previous publications. In addition, an artificial neural network (ANN) model is set up by using Matlab software to accurately predict the natural frequencies of BiHLC plates without running code. Finally, some examples are conducted to provide novel results in the free vibration of BiHLC plates with different values of geometrical dimensions, material properties, boundary conditions (BCs), and foundation stiffness.</p>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Time-Dependent Materials","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1007/s11043-023-09649-1","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
引用次数: 0
Abstract
The main aim of this study is to further extend isogeometric analysis (IGA) based on higher-order shear deformation theory (HSDT) with Soldatos’s continuous function \(f(z)\) for examining the free vibration characteristics of bio-inspired helicoid laminated composite (BiHLC) plates resting on elastic foundation (EF). The foundation follows Pasternak’s model with springer stiffness (\(k_{1}\)) and shear stiffness (\(k_{2}\)). The governing equation is derived by using Hamilton’s principle. The performance of the proposed formula is confirmed by comparing the obtained results with those of previous publications. In addition, an artificial neural network (ANN) model is set up by using Matlab software to accurately predict the natural frequencies of BiHLC plates without running code. Finally, some examples are conducted to provide novel results in the free vibration of BiHLC plates with different values of geometrical dimensions, material properties, boundary conditions (BCs), and foundation stiffness.
期刊介绍:
Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties.
The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.