A method of sequential log-convex programming for engineering design
Abstract A method of Sequential Log-Convex Programming (SLCP) is constructed that exploits the log-convex structure present in many engineering design problems. The mathematical structure of Geometric Programming (GP) is combined with the ability of Sequential Quadratic Program (SQP) to...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer US
2022
|
| Online Access: | https://hdl.handle.net/1721.1/144164 |
| _version_ | 1826209070006140928 |
|---|---|
| author | Karcher, Cody Haimes, Robert |
| author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
| author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Karcher, Cody Haimes, Robert |
| author_sort | Karcher, Cody |
| collection | MIT |
| description | Abstract
A method of Sequential Log-Convex Programming (SLCP) is constructed that exploits the log-convex structure present in many engineering design problems. The mathematical structure of Geometric Programming (GP) is combined with the ability of Sequential Quadratic Program (SQP) to accommodate a wide range of objective and constraint functions, resulting in a practical algorithm that can be adopted with little to no modification of existing design practices. Three test problems are considered to demonstrate the SLCP algorithm, comparing it with SQP and the modified Logspace Sequential Quadratic Programming (LSQP). In these cases, SLCP shows up to a 77% reduction in number of iterations compared to SQP, and an 11% reduction compared to LSQP. The airfoil analysis code XFOIL is integrated into one of the case studies to show how SLCP can be used to evolve the fidelity of design problems that have initially been modeled as GP compatible. Finally, a methodology for design based on GP and SLCP is briefly discussed. |
| first_indexed | 2024-09-23T14:17:05Z |
| format | Article |
| id | mit-1721.1/144164 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:17:05Z |
| publishDate | 2022 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1441642023-02-10T20:31:23Z A method of sequential log-convex programming for engineering design Karcher, Cody Haimes, Robert Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Abstract A method of Sequential Log-Convex Programming (SLCP) is constructed that exploits the log-convex structure present in many engineering design problems. The mathematical structure of Geometric Programming (GP) is combined with the ability of Sequential Quadratic Program (SQP) to accommodate a wide range of objective and constraint functions, resulting in a practical algorithm that can be adopted with little to no modification of existing design practices. Three test problems are considered to demonstrate the SLCP algorithm, comparing it with SQP and the modified Logspace Sequential Quadratic Programming (LSQP). In these cases, SLCP shows up to a 77% reduction in number of iterations compared to SQP, and an 11% reduction compared to LSQP. The airfoil analysis code XFOIL is integrated into one of the case studies to show how SLCP can be used to evolve the fidelity of design problems that have initially been modeled as GP compatible. Finally, a methodology for design based on GP and SLCP is briefly discussed. 2022-08-01T12:17:11Z 2022-08-01T12:17:11Z 2022-07-25 2022-07-31T03:12:04Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/144164 Karcher, Cody and Haimes, Robert. 2022. "A method of sequential log-convex programming for engineering design." PUBLISHER_CC en https://doi.org/10.1007/s11081-022-09750-3 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer US Springer US |
| spellingShingle | Karcher, Cody Haimes, Robert A method of sequential log-convex programming for engineering design |
| title | A method of sequential log-convex programming for engineering design |
| title_full | A method of sequential log-convex programming for engineering design |
| title_fullStr | A method of sequential log-convex programming for engineering design |
| title_full_unstemmed | A method of sequential log-convex programming for engineering design |
| title_short | A method of sequential log-convex programming for engineering design |
| title_sort | method of sequential log convex programming for engineering design |
| url | https://hdl.handle.net/1721.1/144164 |
| work_keys_str_mv | AT karchercody amethodofsequentiallogconvexprogrammingforengineeringdesign AT haimesrobert amethodofsequentiallogconvexprogrammingforengineeringdesign AT karchercody methodofsequentiallogconvexprogrammingforengineeringdesign AT haimesrobert methodofsequentiallogconvexprogrammingforengineeringdesign |