{"title":"复杂形状空间耦合壳板系统自由振动研究的建模方法和实验","authors":"","doi":"10.1016/j.enganabound.2024.105872","DOIUrl":null,"url":null,"abstract":"<div><p>A general modeling approach is presented to analyze the free vibration behavior of the spatially coupled shell-plate system (SCSPS) with complex geometric shapes. The coupling mechanism established by the penalty function method can be applied not only to the SCSPS but also to other extensively studied shell-plate structures. The conventional method for irregularly-shaped plates involves the utilization of one-to-one mapping technology (OTOMT) to transform the two-dimensional plane domain of the plate into a square domain, aiming to fulfill the numerical solution requirement for integral calculation. However, since the OTOMT is a planar mapping technique that cannot be applied to shells, in this paper, we propose a coordinate transformation strategy to convert two-dimensional shells into plane geometry in order to address this limitation. The vibration problem is simultaneously resolved numerically using the Hamilton's principle and the Jacobi spectral method. The current method is validated for several key capabilities based on three case studies, as well as modal experiments and the commercial finite element software. Additionally, a series of model evaluations are employed to demonstrate the advantages of the current method. Moreover, the results of the parametric study illustrate the impact of several variables on the natural frequency of the structure.</p></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2000,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modeling approach and experiments for the free vibration investigations of spatially coupled shell-plate systems with complex shapes\",\"authors\":\"\",\"doi\":\"10.1016/j.enganabound.2024.105872\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A general modeling approach is presented to analyze the free vibration behavior of the spatially coupled shell-plate system (SCSPS) with complex geometric shapes. The coupling mechanism established by the penalty function method can be applied not only to the SCSPS but also to other extensively studied shell-plate structures. The conventional method for irregularly-shaped plates involves the utilization of one-to-one mapping technology (OTOMT) to transform the two-dimensional plane domain of the plate into a square domain, aiming to fulfill the numerical solution requirement for integral calculation. However, since the OTOMT is a planar mapping technique that cannot be applied to shells, in this paper, we propose a coordinate transformation strategy to convert two-dimensional shells into plane geometry in order to address this limitation. The vibration problem is simultaneously resolved numerically using the Hamilton's principle and the Jacobi spectral method. The current method is validated for several key capabilities based on three case studies, as well as modal experiments and the commercial finite element software. Additionally, a series of model evaluations are employed to demonstrate the advantages of the current method. Moreover, the results of the parametric study illustrate the impact of several variables on the natural frequency of the structure.</p></div>\",\"PeriodicalId\":51039,\"journal\":{\"name\":\"Engineering Analysis with Boundary Elements\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.2000,\"publicationDate\":\"2024-07-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering Analysis with Boundary Elements\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0955799724003473\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Analysis with Boundary Elements","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0955799724003473","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
Modeling approach and experiments for the free vibration investigations of spatially coupled shell-plate systems with complex shapes
A general modeling approach is presented to analyze the free vibration behavior of the spatially coupled shell-plate system (SCSPS) with complex geometric shapes. The coupling mechanism established by the penalty function method can be applied not only to the SCSPS but also to other extensively studied shell-plate structures. The conventional method for irregularly-shaped plates involves the utilization of one-to-one mapping technology (OTOMT) to transform the two-dimensional plane domain of the plate into a square domain, aiming to fulfill the numerical solution requirement for integral calculation. However, since the OTOMT is a planar mapping technique that cannot be applied to shells, in this paper, we propose a coordinate transformation strategy to convert two-dimensional shells into plane geometry in order to address this limitation. The vibration problem is simultaneously resolved numerically using the Hamilton's principle and the Jacobi spectral method. The current method is validated for several key capabilities based on three case studies, as well as modal experiments and the commercial finite element software. Additionally, a series of model evaluations are employed to demonstrate the advantages of the current method. Moreover, the results of the parametric study illustrate the impact of several variables on the natural frequency of the structure.
期刊介绍:
This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods.
Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness.
The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields.
In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research.
The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods
Fields Covered:
• Boundary Element Methods (BEM)
• Mesh Reduction Methods (MRM)
• Meshless Methods
• Integral Equations
• Applications of BEM/MRM in Engineering
• Numerical Methods related to BEM/MRM
• Computational Techniques
• Combination of Different Methods
• Advanced Formulations.