OPTIMAL DESIGN OF FRAMED STRUCTURES SUBJECTED TO EARTHQUAKES
This paper treats the following design problem: find the set of design parameters which minimizes the cost of an idealized multi-story framed structure, subject to constraints that the relative displacements between adjacent story levels do not exceed preassigned limits when the structure is subject...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Polak, E. [verfasserIn] Pister, K. S. [verfasserIn] Ray, D. [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2011 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Engineering optimization - London : Taylor & Francis, 1974, 2(1976), 1, Seite 65-71 |
|---|---|
| Übergeordnetes Werk: |
number:1 ; volume:2 ; year:1976 ; pages:65-71 |
| Links: |
|---|
| DOI / URN: |
10.1080/03052157608960598 |
|---|
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NLEJ252826159 |
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| 520 | |a This paper treats the following design problem: find the set of design parameters which minimizes the cost of an idealized multi-story framed structure, subject to constraints that the relative displacements between adjacent story levels do not exceed preassigned limits when the structure is subjected to ground motion of a design earthquake. The design problem has the format of a state-constrained optimal control problem, which is solved by an algorithm based on a recent paper of Polak and Mayne. Because of hysteresis in the operator equation describing system dynamics, directional derivatives of the constraints cannot be calculated by standard techniques. Formulae for calculating the required derivatives appearing in the basic algorithm are presented and discussed. | ||
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10.1080/03052157608960598 doi (DE-627)NLEJ252826159 (TFO)778929802 DE-627 ger DE-627 rda eng Polak, E. verfasserin aut OPTIMAL DESIGN OF FRAMED STRUCTURES SUBJECTED TO EARTHQUAKES 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper treats the following design problem: find the set of design parameters which minimizes the cost of an idealized multi-story framed structure, subject to constraints that the relative displacements between adjacent story levels do not exceed preassigned limits when the structure is subjected to ground motion of a design earthquake. The design problem has the format of a state-constrained optimal control problem, which is solved by an algorithm based on a recent paper of Polak and Mayne. Because of hysteresis in the operator equation describing system dynamics, directional derivatives of the constraints cannot be calculated by standard techniques. Formulae for calculating the required derivatives appearing in the basic algorithm are presented and discussed. Pister, K. S. verfasserin aut Ray, D. verfasserin aut Enthalten in Engineering optimization London : Taylor & Francis, 1974 2(1976), 1, Seite 65-71 Online-Ressource (DE-627)NLEJ252821750 (DE-600)2029191-7 (DE-576)273879715 1029-0273 nnns number:1 volume:2 year:1976 pages:65-71 https://www.tib.eu/de/suchen/id/tandf%3Ac2e3f85e7a0e8b0f0e33f44fce92b6b14284bf4a Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1 2 1976 65-71 |
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10.1080/03052157608960598 doi (DE-627)NLEJ252826159 (TFO)778929802 DE-627 ger DE-627 rda eng Polak, E. verfasserin aut OPTIMAL DESIGN OF FRAMED STRUCTURES SUBJECTED TO EARTHQUAKES 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper treats the following design problem: find the set of design parameters which minimizes the cost of an idealized multi-story framed structure, subject to constraints that the relative displacements between adjacent story levels do not exceed preassigned limits when the structure is subjected to ground motion of a design earthquake. The design problem has the format of a state-constrained optimal control problem, which is solved by an algorithm based on a recent paper of Polak and Mayne. Because of hysteresis in the operator equation describing system dynamics, directional derivatives of the constraints cannot be calculated by standard techniques. Formulae for calculating the required derivatives appearing in the basic algorithm are presented and discussed. Pister, K. S. verfasserin aut Ray, D. verfasserin aut Enthalten in Engineering optimization London : Taylor & Francis, 1974 2(1976), 1, Seite 65-71 Online-Ressource (DE-627)NLEJ252821750 (DE-600)2029191-7 (DE-576)273879715 1029-0273 nnns number:1 volume:2 year:1976 pages:65-71 https://www.tib.eu/de/suchen/id/tandf%3Ac2e3f85e7a0e8b0f0e33f44fce92b6b14284bf4a Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1 2 1976 65-71 |
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10.1080/03052157608960598 doi (DE-627)NLEJ252826159 (TFO)778929802 DE-627 ger DE-627 rda eng Polak, E. verfasserin aut OPTIMAL DESIGN OF FRAMED STRUCTURES SUBJECTED TO EARTHQUAKES 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper treats the following design problem: find the set of design parameters which minimizes the cost of an idealized multi-story framed structure, subject to constraints that the relative displacements between adjacent story levels do not exceed preassigned limits when the structure is subjected to ground motion of a design earthquake. The design problem has the format of a state-constrained optimal control problem, which is solved by an algorithm based on a recent paper of Polak and Mayne. Because of hysteresis in the operator equation describing system dynamics, directional derivatives of the constraints cannot be calculated by standard techniques. Formulae for calculating the required derivatives appearing in the basic algorithm are presented and discussed. Pister, K. S. verfasserin aut Ray, D. verfasserin aut Enthalten in Engineering optimization London : Taylor & Francis, 1974 2(1976), 1, Seite 65-71 Online-Ressource (DE-627)NLEJ252821750 (DE-600)2029191-7 (DE-576)273879715 1029-0273 nnns number:1 volume:2 year:1976 pages:65-71 https://www.tib.eu/de/suchen/id/tandf%3Ac2e3f85e7a0e8b0f0e33f44fce92b6b14284bf4a Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1 2 1976 65-71 |
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10.1080/03052157608960598 doi (DE-627)NLEJ252826159 (TFO)778929802 DE-627 ger DE-627 rda eng Polak, E. verfasserin aut OPTIMAL DESIGN OF FRAMED STRUCTURES SUBJECTED TO EARTHQUAKES 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper treats the following design problem: find the set of design parameters which minimizes the cost of an idealized multi-story framed structure, subject to constraints that the relative displacements between adjacent story levels do not exceed preassigned limits when the structure is subjected to ground motion of a design earthquake. The design problem has the format of a state-constrained optimal control problem, which is solved by an algorithm based on a recent paper of Polak and Mayne. Because of hysteresis in the operator equation describing system dynamics, directional derivatives of the constraints cannot be calculated by standard techniques. Formulae for calculating the required derivatives appearing in the basic algorithm are presented and discussed. Pister, K. S. verfasserin aut Ray, D. verfasserin aut Enthalten in Engineering optimization London : Taylor & Francis, 1974 2(1976), 1, Seite 65-71 Online-Ressource (DE-627)NLEJ252821750 (DE-600)2029191-7 (DE-576)273879715 1029-0273 nnns number:1 volume:2 year:1976 pages:65-71 https://www.tib.eu/de/suchen/id/tandf%3Ac2e3f85e7a0e8b0f0e33f44fce92b6b14284bf4a Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1 2 1976 65-71 |
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10.1080/03052157608960598 doi (DE-627)NLEJ252826159 (TFO)778929802 DE-627 ger DE-627 rda eng Polak, E. verfasserin aut OPTIMAL DESIGN OF FRAMED STRUCTURES SUBJECTED TO EARTHQUAKES 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper treats the following design problem: find the set of design parameters which minimizes the cost of an idealized multi-story framed structure, subject to constraints that the relative displacements between adjacent story levels do not exceed preassigned limits when the structure is subjected to ground motion of a design earthquake. The design problem has the format of a state-constrained optimal control problem, which is solved by an algorithm based on a recent paper of Polak and Mayne. Because of hysteresis in the operator equation describing system dynamics, directional derivatives of the constraints cannot be calculated by standard techniques. Formulae for calculating the required derivatives appearing in the basic algorithm are presented and discussed. Pister, K. S. verfasserin aut Ray, D. verfasserin aut Enthalten in Engineering optimization London : Taylor & Francis, 1974 2(1976), 1, Seite 65-71 Online-Ressource (DE-627)NLEJ252821750 (DE-600)2029191-7 (DE-576)273879715 1029-0273 nnns number:1 volume:2 year:1976 pages:65-71 https://www.tib.eu/de/suchen/id/tandf%3Ac2e3f85e7a0e8b0f0e33f44fce92b6b14284bf4a Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1 2 1976 65-71 |
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OPTIMAL DESIGN OF FRAMED STRUCTURES SUBJECTED TO EARTHQUAKES |
| abstract |
This paper treats the following design problem: find the set of design parameters which minimizes the cost of an idealized multi-story framed structure, subject to constraints that the relative displacements between adjacent story levels do not exceed preassigned limits when the structure is subjected to ground motion of a design earthquake. The design problem has the format of a state-constrained optimal control problem, which is solved by an algorithm based on a recent paper of Polak and Mayne. Because of hysteresis in the operator equation describing system dynamics, directional derivatives of the constraints cannot be calculated by standard techniques. Formulae for calculating the required derivatives appearing in the basic algorithm are presented and discussed. |
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This paper treats the following design problem: find the set of design parameters which minimizes the cost of an idealized multi-story framed structure, subject to constraints that the relative displacements between adjacent story levels do not exceed preassigned limits when the structure is subjected to ground motion of a design earthquake. The design problem has the format of a state-constrained optimal control problem, which is solved by an algorithm based on a recent paper of Polak and Mayne. Because of hysteresis in the operator equation describing system dynamics, directional derivatives of the constraints cannot be calculated by standard techniques. Formulae for calculating the required derivatives appearing in the basic algorithm are presented and discussed. |
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This paper treats the following design problem: find the set of design parameters which minimizes the cost of an idealized multi-story framed structure, subject to constraints that the relative displacements between adjacent story levels do not exceed preassigned limits when the structure is subjected to ground motion of a design earthquake. The design problem has the format of a state-constrained optimal control problem, which is solved by an algorithm based on a recent paper of Polak and Mayne. Because of hysteresis in the operator equation describing system dynamics, directional derivatives of the constraints cannot be calculated by standard techniques. Formulae for calculating the required derivatives appearing in the basic algorithm are presented and discussed. |
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