A boundary element method formulation for modal analysis of doubly curved thick shallow shells
The study of vibrations of shells is an important aspect in the design of thin-walled structures. In general, analytical solutions for the natural frequencies of shells are not possible, and computational techniques are required. In this paper, modal analysis of shallow shells using a new boundary e...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2016
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/8991
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/8991
- Palabra clave:
- Boundary element method
Doubly curved shallow shells
Dual reciprocity boundary element method
Free vibration
Modal analysis
Thick shells
Elasticity
Modal analysis
Plates (structural components)
Sailing vessels
Shear deformation
Shear flow
Shells (structures)
Thin walled structures
Time domain analysis
Vibration analysis
Boundary element formulations
Computational technique
Dual reciprocity boundary element method
Free vibration
Fundamental solutions
Shallow shells
Shear deformable plate
Thick shells
Boundary element method
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A boundary element method formulation for modal analysis of doubly curved thick shallow shells |
| title |
A boundary element method formulation for modal analysis of doubly curved thick shallow shells |
| spellingShingle |
A boundary element method formulation for modal analysis of doubly curved thick shallow shells Boundary element method Doubly curved shallow shells Dual reciprocity boundary element method Free vibration Modal analysis Thick shells Elasticity Modal analysis Plates (structural components) Sailing vessels Shear deformation Shear flow Shells (structures) Thin walled structures Time domain analysis Vibration analysis Boundary element formulations Computational technique Dual reciprocity boundary element method Free vibration Fundamental solutions Shallow shells Shear deformable plate Thick shells Boundary element method |
| title_short |
A boundary element method formulation for modal analysis of doubly curved thick shallow shells |
| title_full |
A boundary element method formulation for modal analysis of doubly curved thick shallow shells |
| title_fullStr |
A boundary element method formulation for modal analysis of doubly curved thick shallow shells |
| title_full_unstemmed |
A boundary element method formulation for modal analysis of doubly curved thick shallow shells |
| title_sort |
A boundary element method formulation for modal analysis of doubly curved thick shallow shells |
| dc.subject.keywords.none.fl_str_mv |
Boundary element method Doubly curved shallow shells Dual reciprocity boundary element method Free vibration Modal analysis Thick shells Elasticity Modal analysis Plates (structural components) Sailing vessels Shear deformation Shear flow Shells (structures) Thin walled structures Time domain analysis Vibration analysis Boundary element formulations Computational technique Dual reciprocity boundary element method Free vibration Fundamental solutions Shallow shells Shear deformable plate Thick shells Boundary element method |
| topic |
Boundary element method Doubly curved shallow shells Dual reciprocity boundary element method Free vibration Modal analysis Thick shells Elasticity Modal analysis Plates (structural components) Sailing vessels Shear deformation Shear flow Shells (structures) Thin walled structures Time domain analysis Vibration analysis Boundary element formulations Computational technique Dual reciprocity boundary element method Free vibration Fundamental solutions Shallow shells Shear deformable plate Thick shells Boundary element method |
| description |
The study of vibrations of shells is an important aspect in the design of thin-walled structures. In general, analytical solutions for the natural frequencies of shells are not possible, and computational techniques are required. In this paper, modal analysis of shallow shells using a new boundary element method formulation is presented. The proposed formulation is based on a direct time-domain integration using the elastostatic fundamental solutions for both in-plane elasticity and shear-deformable plates. We modeled shallow shells by coupling the boundary element formulation of a shear-deformable plate and the two-dimensional plane stress elasticity. Effects of shear deformation and rotatory inertia were included in the formulation. Domain integrals related to inertial terms were treated by the dual reciprocity boundary element method. Numerical examples are presented to demonstrate the efficiency and accuracy of the proposed formulation. © 2015 Elsevier Inc. |
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2016 |
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2016 |
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2020-03-26T16:32:43Z |
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2020-03-26T16:32:43Z |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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Artículo |
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publishedVersion |
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Applied Mathematical Modelling; Vol. 40, Núm. 5-6; pp. 3591-3600 |
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0307904X |
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https://hdl.handle.net/20.500.12585/8991 |
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10.1016/j.apm.2015.09.082 |
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Universidad Tecnológica de Bolívar |
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Repositorio UTB |
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24537991200 56974175900 |
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Applied Mathematical Modelling; Vol. 40, Núm. 5-6; pp. 3591-3600 0307904X 10.1016/j.apm.2015.09.082 Universidad Tecnológica de Bolívar Repositorio UTB 24537991200 56974175900 |
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https://hdl.handle.net/20.500.12585/8991 |
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eng |
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eng |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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Atribución-NoComercial 4.0 Internacional |
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Recurso electrónico |
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application/pdf |
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Elsevier Inc. |
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Elsevier Inc. |
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2020-03-26T16:32:43Z2020-03-26T16:32:43Z2016Applied Mathematical Modelling; Vol. 40, Núm. 5-6; pp. 3591-36000307904Xhttps://hdl.handle.net/20.500.12585/899110.1016/j.apm.2015.09.082Universidad Tecnológica de BolívarRepositorio UTB2453799120056974175900The study of vibrations of shells is an important aspect in the design of thin-walled structures. In general, analytical solutions for the natural frequencies of shells are not possible, and computational techniques are required. In this paper, modal analysis of shallow shells using a new boundary element method formulation is presented. The proposed formulation is based on a direct time-domain integration using the elastostatic fundamental solutions for both in-plane elasticity and shear-deformable plates. We modeled shallow shells by coupling the boundary element formulation of a shear-deformable plate and the two-dimensional plane stress elasticity. Effects of shear deformation and rotatory inertia were included in the formulation. Domain integrals related to inertial terms were treated by the dual reciprocity boundary element method. Numerical examples are presented to demonstrate the efficiency and accuracy of the proposed formulation. © 2015 Elsevier Inc.The authors are grateful to the Research Office of Universidad Tecnológica de Bolívar for supporting this research work.Recurso electrónicoapplication/pdfengElsevier Inc.http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 Internacionalhttp://purl.org/coar/access_right/c_16echttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84958163726&doi=10.1016%2fj.apm.2015.09.082&partnerID=40&md5=09ba19a7f4dbcbc770954c259f8ccafcA boundary element method formulation for modal analysis of doubly curved thick shallow shellsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Boundary element methodDoubly curved shallow shellsDual reciprocity boundary element methodFree vibrationModal analysisThick shellsElasticityModal analysisPlates (structural components)Sailing vesselsShear deformationShear flowShells (structures)Thin walled structuresTime domain analysisVibration analysisBoundary element formulationsComputational techniqueDual reciprocity boundary element methodFree vibrationFundamental solutionsShallow shellsShear deformable plateThick shellsBoundary element methodUseche Vivero, JairoHarnish C.Banerjee, P.K., Kobayashi, S., (1992) Advanced Dynamic Analysis by Boundary Element Methods, , Springer, LondonBayod, J.J., Yamazaki, T., Kamata, M., Prediction of vibration energy levels on structures using wave intensity analysis based on experimental data (2007) J. 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Struct., 24 (2), pp. 213-224http://purl.org/coar/resource_type/c_6501THUMBNAILMiniProdInv.pngMiniProdInv.pngimage/png23941https://repositorio.utb.edu.co/bitstream/20.500.12585/8991/1/MiniProdInv.png0cb0f101a8d16897fb46fc914d3d7043MD5120.500.12585/8991oai:repositorio.utb.edu.co:20.500.12585/89912023-04-24 09:18:14.369Repositorio Institucional UTBrepositorioutb@utb.edu.co |