Exact solutions in the reinforcement of a circular plate under concentrated loads
Abstract A thin elastic plate, supported along the boundary, is loaded either by a single concentrated force at a given internal point, or by two equal and opposite concentrated forces at given internal diametrically opposite points. In each problem, the compliance, defined as the work done by the l...
Ausführliche Beschreibung
Autor*in: |
Knops, R. J. [verfasserIn] |
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Artikel |
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Sprache: |
Englisch |
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2006 |
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Anmerkung: |
© Springer-Verlag 2006 |
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Übergeordnetes Werk: |
Enthalten in: Structural and multidisciplinary optimization - Springer-Verlag, 2000, 32(2006), 5 vom: 21. Aug., Seite 427-433 |
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Übergeordnetes Werk: |
volume:32 ; year:2006 ; number:5 ; day:21 ; month:08 ; pages:427-433 |
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DOI / URN: |
10.1007/s00158-005-0598-x |
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Katalog-ID: |
OLC2051768900 |
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520 | |a Abstract A thin elastic plate, supported along the boundary, is loaded either by a single concentrated force at a given internal point, or by two equal and opposite concentrated forces at given internal diametrically opposite points. In each problem, the compliance, defined as the work done by the load, can be reduced on stiffening the plate by the addition to the boundary of an elastic strip whose cross-section is variable but whose total volume is prescribed. The cross-sectional area that minimises the compliance provides the optimal reinforcement for both problems. The respective compliances are compared with those obtained when the plate’s boundary is reinforced by a strip of uniform cross-section and of the given volume. | ||
650 | 4 | |a Circular Plate | |
650 | 4 | |a Concentrate Load | |
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650 | 4 | |a Optimal Reinforcement | |
700 | 1 | |a Villaggio, P. |4 aut | |
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10.1007/s00158-005-0598-x doi (DE-627)OLC2051768900 (DE-He213)s00158-005-0598-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn 50.03$jMethoden und Techniken der Ingenieurwissenschaften bkl Knops, R. J. verfasserin aut Exact solutions in the reinforcement of a circular plate under concentrated loads 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2006 Abstract A thin elastic plate, supported along the boundary, is loaded either by a single concentrated force at a given internal point, or by two equal and opposite concentrated forces at given internal diametrically opposite points. In each problem, the compliance, defined as the work done by the load, can be reduced on stiffening the plate by the addition to the boundary of an elastic strip whose cross-section is variable but whose total volume is prescribed. The cross-sectional area that minimises the compliance provides the optimal reinforcement for both problems. The respective compliances are compared with those obtained when the plate’s boundary is reinforced by a strip of uniform cross-section and of the given volume. Circular Plate Concentrate Load Concentrate Force Loaded Plate Optimal Reinforcement Villaggio, P. aut Enthalten in Structural and multidisciplinary optimization Springer-Verlag, 2000 32(2006), 5 vom: 21. Aug., Seite 427-433 (DE-627)312415958 (DE-600)2009366-4 (DE-576)090895207 1615-147X nnns volume:32 year:2006 number:5 day:21 month:08 pages:427-433 https://doi.org/10.1007/s00158-005-0598-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_4046 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4316 50.03$jMethoden und Techniken der Ingenieurwissenschaften VZ 181571455 (DE-625)181571455 AR 32 2006 5 21 08 427-433 |
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10.1007/s00158-005-0598-x doi (DE-627)OLC2051768900 (DE-He213)s00158-005-0598-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn 50.03$jMethoden und Techniken der Ingenieurwissenschaften bkl Knops, R. J. verfasserin aut Exact solutions in the reinforcement of a circular plate under concentrated loads 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2006 Abstract A thin elastic plate, supported along the boundary, is loaded either by a single concentrated force at a given internal point, or by two equal and opposite concentrated forces at given internal diametrically opposite points. In each problem, the compliance, defined as the work done by the load, can be reduced on stiffening the plate by the addition to the boundary of an elastic strip whose cross-section is variable but whose total volume is prescribed. The cross-sectional area that minimises the compliance provides the optimal reinforcement for both problems. The respective compliances are compared with those obtained when the plate’s boundary is reinforced by a strip of uniform cross-section and of the given volume. Circular Plate Concentrate Load Concentrate Force Loaded Plate Optimal Reinforcement Villaggio, P. aut Enthalten in Structural and multidisciplinary optimization Springer-Verlag, 2000 32(2006), 5 vom: 21. Aug., Seite 427-433 (DE-627)312415958 (DE-600)2009366-4 (DE-576)090895207 1615-147X nnns volume:32 year:2006 number:5 day:21 month:08 pages:427-433 https://doi.org/10.1007/s00158-005-0598-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_4046 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4316 50.03$jMethoden und Techniken der Ingenieurwissenschaften VZ 181571455 (DE-625)181571455 AR 32 2006 5 21 08 427-433 |
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10.1007/s00158-005-0598-x doi (DE-627)OLC2051768900 (DE-He213)s00158-005-0598-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn 50.03$jMethoden und Techniken der Ingenieurwissenschaften bkl Knops, R. J. verfasserin aut Exact solutions in the reinforcement of a circular plate under concentrated loads 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2006 Abstract A thin elastic plate, supported along the boundary, is loaded either by a single concentrated force at a given internal point, or by two equal and opposite concentrated forces at given internal diametrically opposite points. In each problem, the compliance, defined as the work done by the load, can be reduced on stiffening the plate by the addition to the boundary of an elastic strip whose cross-section is variable but whose total volume is prescribed. The cross-sectional area that minimises the compliance provides the optimal reinforcement for both problems. The respective compliances are compared with those obtained when the plate’s boundary is reinforced by a strip of uniform cross-section and of the given volume. Circular Plate Concentrate Load Concentrate Force Loaded Plate Optimal Reinforcement Villaggio, P. aut Enthalten in Structural and multidisciplinary optimization Springer-Verlag, 2000 32(2006), 5 vom: 21. Aug., Seite 427-433 (DE-627)312415958 (DE-600)2009366-4 (DE-576)090895207 1615-147X nnns volume:32 year:2006 number:5 day:21 month:08 pages:427-433 https://doi.org/10.1007/s00158-005-0598-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_4046 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4316 50.03$jMethoden und Techniken der Ingenieurwissenschaften VZ 181571455 (DE-625)181571455 AR 32 2006 5 21 08 427-433 |
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10.1007/s00158-005-0598-x doi (DE-627)OLC2051768900 (DE-He213)s00158-005-0598-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn 50.03$jMethoden und Techniken der Ingenieurwissenschaften bkl Knops, R. J. verfasserin aut Exact solutions in the reinforcement of a circular plate under concentrated loads 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2006 Abstract A thin elastic plate, supported along the boundary, is loaded either by a single concentrated force at a given internal point, or by two equal and opposite concentrated forces at given internal diametrically opposite points. In each problem, the compliance, defined as the work done by the load, can be reduced on stiffening the plate by the addition to the boundary of an elastic strip whose cross-section is variable but whose total volume is prescribed. The cross-sectional area that minimises the compliance provides the optimal reinforcement for both problems. The respective compliances are compared with those obtained when the plate’s boundary is reinforced by a strip of uniform cross-section and of the given volume. Circular Plate Concentrate Load Concentrate Force Loaded Plate Optimal Reinforcement Villaggio, P. aut Enthalten in Structural and multidisciplinary optimization Springer-Verlag, 2000 32(2006), 5 vom: 21. Aug., Seite 427-433 (DE-627)312415958 (DE-600)2009366-4 (DE-576)090895207 1615-147X nnns volume:32 year:2006 number:5 day:21 month:08 pages:427-433 https://doi.org/10.1007/s00158-005-0598-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_4046 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4316 50.03$jMethoden und Techniken der Ingenieurwissenschaften VZ 181571455 (DE-625)181571455 AR 32 2006 5 21 08 427-433 |
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exact solutions in the reinforcement of a circular plate under concentrated loads |
title_auth |
Exact solutions in the reinforcement of a circular plate under concentrated loads |
abstract |
Abstract A thin elastic plate, supported along the boundary, is loaded either by a single concentrated force at a given internal point, or by two equal and opposite concentrated forces at given internal diametrically opposite points. In each problem, the compliance, defined as the work done by the load, can be reduced on stiffening the plate by the addition to the boundary of an elastic strip whose cross-section is variable but whose total volume is prescribed. The cross-sectional area that minimises the compliance provides the optimal reinforcement for both problems. The respective compliances are compared with those obtained when the plate’s boundary is reinforced by a strip of uniform cross-section and of the given volume. © Springer-Verlag 2006 |
abstractGer |
Abstract A thin elastic plate, supported along the boundary, is loaded either by a single concentrated force at a given internal point, or by two equal and opposite concentrated forces at given internal diametrically opposite points. In each problem, the compliance, defined as the work done by the load, can be reduced on stiffening the plate by the addition to the boundary of an elastic strip whose cross-section is variable but whose total volume is prescribed. The cross-sectional area that minimises the compliance provides the optimal reinforcement for both problems. The respective compliances are compared with those obtained when the plate’s boundary is reinforced by a strip of uniform cross-section and of the given volume. © Springer-Verlag 2006 |
abstract_unstemmed |
Abstract A thin elastic plate, supported along the boundary, is loaded either by a single concentrated force at a given internal point, or by two equal and opposite concentrated forces at given internal diametrically opposite points. In each problem, the compliance, defined as the work done by the load, can be reduced on stiffening the plate by the addition to the boundary of an elastic strip whose cross-section is variable but whose total volume is prescribed. The cross-sectional area that minimises the compliance provides the optimal reinforcement for both problems. The respective compliances are compared with those obtained when the plate’s boundary is reinforced by a strip of uniform cross-section and of the given volume. © Springer-Verlag 2006 |
collection_details |
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container_issue |
5 |
title_short |
Exact solutions in the reinforcement of a circular plate under concentrated loads |
url |
https://doi.org/10.1007/s00158-005-0598-x |
remote_bool |
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author2 |
Villaggio, P. |
author2Str |
Villaggio, P. |
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doi_str |
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up_date |
2024-07-04T05:15:10.413Z |
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