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Discussion on the optimality condition of the equivalent static loads method for linear dynamic response structural optimization

Title
Discussion on the optimality condition of the equivalent static loads method for linear dynamic response structural optimization
Author
박경진
Keywords
Equivalent static loads method; Structural optimization; Karush-Kuhn-Tucker necessary condition
Issue Date
2019-01
Publisher
SPRINGER
Citation
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, v. 59, No. 1, Page. 311-316
Abstract
The equivalent static loads method (ESLM) is a structural optimization method that can consider an analysis method other than linear static analysis. This method defines two separate domains: the analysis domain and design domain. Analysis is performed in the analysis domain, equivalent static loads (ESLs) sets are generated, linear static response optimization is carried out in the design domain using the ESLs and the process iterates until the stopping criteria are satisfied. This method is quite popular and some commercial systems have installed the method. Theoretical foundation of ESLM was validated for linear dynamic response optimization by Park and Kang (J Optim Theory Appl 18:191-200, 2003). They claimed that when the ESLM process terminates, the optimum solution satisfies the Karush-Kuhn-Tucker (KKT) necessary condition. Some critical issues were raised by Stolpe (Struct Multidiscip Optim 50:921-926, 2014). He showed that the theoretical results in Park and Kang are not valid. In this paper, the validation process of Park and Kang is amended according to the Stolpe's corrections. It is shown that the original claim for the KKT condition is valid by adding some mathematical aspects.
URI
https://link.springer.com/article/10.1007%2Fs00158-018-2059-3https://repository.hanyang.ac.kr/handle/20.500.11754/112178
ISSN
1615-147X; 1615-1488
DOI
10.1007/s00158-018-2059-3
Appears in Collections:
COLLEGE OF ENGINEERING SCIENCES[E](공학대학) > MECHANICAL ENGINEERING(기계공학과) > Articles
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