Optimization Design of Structures Subjected to Transient Loads Using First and Second Derivatives of Dynamic Displacement and Stress
This paper developed an effective optimization method, i.e., gradient-Hessian matrix-based method or second order method, of frame structures subjected to the transient loads. An algorithm of first and second derivatives of dynamic displacement and stress with respect to design variables is formulat...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2012-0685 |
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| _version_ | 1832545827677011968 |
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| author | Qimao Liu Jing Zhang Liubin Yan |
| author_facet | Qimao Liu Jing Zhang Liubin Yan |
| author_sort | Qimao Liu |
| collection | DOAJ |
| description | This paper developed an effective optimization method, i.e., gradient-Hessian matrix-based method or second order method, of frame structures subjected to the transient loads. An algorithm of first and second derivatives of dynamic displacement and stress with respect to design variables is formulated based on the Newmark method. The inequality time-dependent constraint problem is converted into a sequence of appropriately formed time-independent unconstrained problems using the integral interior point penalty function method. The gradient and Hessian matrixes of the integral interior point penalty functions are also computed. Then the Marquardt's method is employed to solve unconstrained problems. The numerical results show that the optimal design method proposed in this paper can obtain the local optimum design of frame structures and sometimes is more efficient than the augmented Lagrange multiplier method. |
| format | Article |
| id | doaj-art-0035fef3aa2e49d3bfbbc9a01b5c9922 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-0035fef3aa2e49d3bfbbc9a01b5c99222025-02-03T07:24:38ZengWileyShock and Vibration1070-96221875-92032012-01-011961445146110.3233/SAV-2012-0685Optimization Design of Structures Subjected to Transient Loads Using First and Second Derivatives of Dynamic Displacement and StressQimao Liu0Jing Zhang1Liubin Yan2Department of Civil and Structural Engineering, Aalto University, Espoo, FinlandDepartment of Mechanical Engineering, Indiana University-Purdue University Indianapolis, Indianapolis, IN, USACollege of Civil and Architecture Engineering, Guangxi University, Nanning, ChinaThis paper developed an effective optimization method, i.e., gradient-Hessian matrix-based method or second order method, of frame structures subjected to the transient loads. An algorithm of first and second derivatives of dynamic displacement and stress with respect to design variables is formulated based on the Newmark method. The inequality time-dependent constraint problem is converted into a sequence of appropriately formed time-independent unconstrained problems using the integral interior point penalty function method. The gradient and Hessian matrixes of the integral interior point penalty functions are also computed. Then the Marquardt's method is employed to solve unconstrained problems. The numerical results show that the optimal design method proposed in this paper can obtain the local optimum design of frame structures and sometimes is more efficient than the augmented Lagrange multiplier method.http://dx.doi.org/10.3233/SAV-2012-0685 |
| spellingShingle | Qimao Liu Jing Zhang Liubin Yan Optimization Design of Structures Subjected to Transient Loads Using First and Second Derivatives of Dynamic Displacement and Stress Shock and Vibration |
| title | Optimization Design of Structures Subjected to Transient Loads Using First and Second Derivatives of Dynamic Displacement and Stress |
| title_full | Optimization Design of Structures Subjected to Transient Loads Using First and Second Derivatives of Dynamic Displacement and Stress |
| title_fullStr | Optimization Design of Structures Subjected to Transient Loads Using First and Second Derivatives of Dynamic Displacement and Stress |
| title_full_unstemmed | Optimization Design of Structures Subjected to Transient Loads Using First and Second Derivatives of Dynamic Displacement and Stress |
| title_short | Optimization Design of Structures Subjected to Transient Loads Using First and Second Derivatives of Dynamic Displacement and Stress |
| title_sort | optimization design of structures subjected to transient loads using first and second derivatives of dynamic displacement and stress |
| url | http://dx.doi.org/10.3233/SAV-2012-0685 |
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