Computational Tensor Analysis of Shell Structures
This book presents a method which is capable of evaluating the deformation characteristics of thin shell structures A free vibration analysis is chosen as a convenient means of studying the displacement behaviour of the shell, enabling it to deform naturally without imposing any particular loading c...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1990
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| Schriftenreihe: | Lecture Notes in Engineering
58 |
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| Online-Zugang: | DE-634 URL des Erstveröffentlichers |
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| 520 | |a This book presents a method which is capable of evaluating the deformation characteristics of thin shell structures A free vibration analysis is chosen as a convenient means of studying the displacement behaviour of the shell, enabling it to deform naturally without imposing any particular loading conditions. The strain-displacement equations for thin shells of arbitrary geometry are developed. These relationships are expressed in general curvilinear coordinates and are formulated entirely in the framework of tensor calculus. The resulting theory is not restricted to shell structures characterized by any particular geometric form, loading or boundary conditions. The complete displacement and strain equations developed by Flugge are approximated by the curvilinear finite difference method and are applied to computing the natural frequencies and mode shapes of general thin shells. This approach enables both the displacement components and geometric properties of the shell to be approximated numerically and accurately. The selection of an appropriate displacement field to approximate the deformation of the shell within each finite difference mesh is discussed in detail. In addition, comparisons are made between the use of second and third-order finite difference interpolation meshes | ||
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Datensatz im Suchindex
| _version_ | 1819303584798343168 |
|---|---|
| any_adam_object | |
| author | Naomis, Steve Lau, Paul C. M. |
| author_facet | Naomis, Steve Lau, Paul C. M. |
| author_role | aut aut |
| author_sort | Naomis, Steve |
| author_variant | s n sn p c m l pcm pcml |
| building | Verbundindex |
| bvnumber | BV045187915 |
| classification_rvk | SK 370 |
| collection | ZDB-2-ENG |
| ctrlnum | (ZDB-2-ENG)978-3-642-84243-6 (OCoLC)1184331643 (DE-599)BVBBV045187915 |
| dewey-full | 624 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 624 - Civil engineering |
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| dewey-search | 624 |
| dewey-sort | 3624 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Bauingenieurwesen Mathematik |
| doi_str_mv | 10.1007/978-3-642-84243-6 |
| format | Electronic eBook |
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| id | DE-604.BV045187915 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T06:51:42Z |
| institution | BVB |
| isbn | 9783642842436 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030577092 |
| oclc_num | 1184331643 |
| open_access_boolean | |
| owner | DE-634 |
| owner_facet | DE-634 |
| physical | 1 Online-Ressource (XII, 309 p) |
| psigel | ZDB-2-ENG ZDB-2-ENG_Archiv ZDB-2-ENG ZDB-2-ENG_Archiv |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Lecture Notes in Engineering |
| spelling | Naomis, Steve Verfasser aut Computational Tensor Analysis of Shell Structures by Steve Naomis, Paul C. M. Lau Berlin, Heidelberg Springer Berlin Heidelberg 1990 1 Online-Ressource (XII, 309 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Engineering 58 This book presents a method which is capable of evaluating the deformation characteristics of thin shell structures A free vibration analysis is chosen as a convenient means of studying the displacement behaviour of the shell, enabling it to deform naturally without imposing any particular loading conditions. The strain-displacement equations for thin shells of arbitrary geometry are developed. These relationships are expressed in general curvilinear coordinates and are formulated entirely in the framework of tensor calculus. The resulting theory is not restricted to shell structures characterized by any particular geometric form, loading or boundary conditions. The complete displacement and strain equations developed by Flugge are approximated by the curvilinear finite difference method and are applied to computing the natural frequencies and mode shapes of general thin shells. This approach enables both the displacement components and geometric properties of the shell to be approximated numerically and accurately. The selection of an appropriate displacement field to approximate the deformation of the shell within each finite difference mesh is discussed in detail. In addition, comparisons are made between the use of second and third-order finite difference interpolation meshes Engineering Construction Management Building Construction Aerospace Technology and Astronautics Automotive Engineering Math. Applications in Chemistry Computational Intelligence Chemometrics Computational intelligence Automotive engineering Aerospace engineering Astronautics Buildings / Design and construction Building Construction Engineering, Architectural Building / Superintendence Construction industry / Management Construction superintendence Tensoranalysis (DE-588)4204323-2 gnd rswk-swf Deformation (DE-588)4070262-5 gnd rswk-swf Dünne Schale (DE-588)4150826-9 gnd rswk-swf Schale (DE-588)4052003-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Schale (DE-588)4052003-1 s Tensoranalysis (DE-588)4204323-2 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Dünne Schale (DE-588)4150826-9 s Deformation (DE-588)4070262-5 s 2\p DE-604 Lau, Paul C. M. aut Erscheint auch als Druck-Ausgabe 9783540528524 https://doi.org/10.1007/978-3-642-84243-6 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Naomis, Steve Lau, Paul C. M. Computational Tensor Analysis of Shell Structures Engineering Construction Management Building Construction Aerospace Technology and Astronautics Automotive Engineering Math. Applications in Chemistry Computational Intelligence Chemometrics Computational intelligence Automotive engineering Aerospace engineering Astronautics Buildings / Design and construction Building Construction Engineering, Architectural Building / Superintendence Construction industry / Management Construction superintendence Tensoranalysis (DE-588)4204323-2 gnd Deformation (DE-588)4070262-5 gnd Dünne Schale (DE-588)4150826-9 gnd Schale (DE-588)4052003-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4204323-2 (DE-588)4070262-5 (DE-588)4150826-9 (DE-588)4052003-1 (DE-588)4128130-5 |
| title | Computational Tensor Analysis of Shell Structures |
| title_auth | Computational Tensor Analysis of Shell Structures |
| title_exact_search | Computational Tensor Analysis of Shell Structures |
| title_full | Computational Tensor Analysis of Shell Structures by Steve Naomis, Paul C. M. Lau |
| title_fullStr | Computational Tensor Analysis of Shell Structures by Steve Naomis, Paul C. M. Lau |
| title_full_unstemmed | Computational Tensor Analysis of Shell Structures by Steve Naomis, Paul C. M. Lau |
| title_short | Computational Tensor Analysis of Shell Structures |
| title_sort | computational tensor analysis of shell structures |
| topic | Engineering Construction Management Building Construction Aerospace Technology and Astronautics Automotive Engineering Math. Applications in Chemistry Computational Intelligence Chemometrics Computational intelligence Automotive engineering Aerospace engineering Astronautics Buildings / Design and construction Building Construction Engineering, Architectural Building / Superintendence Construction industry / Management Construction superintendence Tensoranalysis (DE-588)4204323-2 gnd Deformation (DE-588)4070262-5 gnd Dünne Schale (DE-588)4150826-9 gnd Schale (DE-588)4052003-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Engineering Construction Management Building Construction Aerospace Technology and Astronautics Automotive Engineering Math. Applications in Chemistry Computational Intelligence Chemometrics Computational intelligence Automotive engineering Aerospace engineering Astronautics Buildings / Design and construction Building Construction Engineering, Architectural Building / Superintendence Construction industry / Management Construction superintendence Tensoranalysis Deformation Dünne Schale Schale Numerisches Verfahren |
| url | https://doi.org/10.1007/978-3-642-84243-6 |
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