{"title":"包含多层 FG-CNTRC 层的混合层压薄壁圆柱壳的自由振动分析","authors":"Jiaocheng Ma, He Gao","doi":"10.1007/s00707-024-04082-y","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, the free vibration analysis of hybrid laminated thin-walled cylindrical shells is investigated based on Sanders’s thin shell theory and artificial spring technology. The hybrid laminated shells are made of graphite fiber reinforced composite (GFRC) and multilayer functionally gradient carbon nanotube-reinforced composite (FG-CNTRC) plies. The influence of Coriolis and centrifugal forces on the shell's strain and kinetic energy, resulting from rotation, has been considered. The orthogonal polynomials are selected as the admissible function and the Rayleigh–Ritz method is employed to obtain the natural frequency. The results of the study are validated against the results of open literature. The influences of CNT distribution patterns, number of plies, stacking sequences, CNT volume fraction, boundary constraints(BCs), rotating speed, and the orientation angle on the natural frequency of the cylindrical shells. The results show that specific stacking configurations can significantly enhance the fundamental frequency of the shell. It provides a reference for the design and optimization of hybrid laminated cylindrical shell structures.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7711 - 7731"},"PeriodicalIF":2.3000,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Free vibration analysis of hybrid laminated thin-walled cylindrical shells containing multilayer FG-CNTRC plies\",\"authors\":\"Jiaocheng Ma, He Gao\",\"doi\":\"10.1007/s00707-024-04082-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, the free vibration analysis of hybrid laminated thin-walled cylindrical shells is investigated based on Sanders’s thin shell theory and artificial spring technology. The hybrid laminated shells are made of graphite fiber reinforced composite (GFRC) and multilayer functionally gradient carbon nanotube-reinforced composite (FG-CNTRC) plies. The influence of Coriolis and centrifugal forces on the shell's strain and kinetic energy, resulting from rotation, has been considered. The orthogonal polynomials are selected as the admissible function and the Rayleigh–Ritz method is employed to obtain the natural frequency. The results of the study are validated against the results of open literature. The influences of CNT distribution patterns, number of plies, stacking sequences, CNT volume fraction, boundary constraints(BCs), rotating speed, and the orientation angle on the natural frequency of the cylindrical shells. The results show that specific stacking configurations can significantly enhance the fundamental frequency of the shell. It provides a reference for the design and optimization of hybrid laminated cylindrical shell structures.</p></div>\",\"PeriodicalId\":456,\"journal\":{\"name\":\"Acta Mechanica\",\"volume\":\"235 12\",\"pages\":\"7711 - 7731\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2024-10-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00707-024-04082-y\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-024-04082-y","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
In this paper, the free vibration analysis of hybrid laminated thin-walled cylindrical shells is investigated based on Sanders’s thin shell theory and artificial spring technology. The hybrid laminated shells are made of graphite fiber reinforced composite (GFRC) and multilayer functionally gradient carbon nanotube-reinforced composite (FG-CNTRC) plies. The influence of Coriolis and centrifugal forces on the shell's strain and kinetic energy, resulting from rotation, has been considered. The orthogonal polynomials are selected as the admissible function and the Rayleigh–Ritz method is employed to obtain the natural frequency. The results of the study are validated against the results of open literature. The influences of CNT distribution patterns, number of plies, stacking sequences, CNT volume fraction, boundary constraints(BCs), rotating speed, and the orientation angle on the natural frequency of the cylindrical shells. The results show that specific stacking configurations can significantly enhance the fundamental frequency of the shell. It provides a reference for the design and optimization of hybrid laminated cylindrical shell structures.
期刊介绍:
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.