Structural and Multidisciplinary Optimization

, Volume 59, Issue 2, pp 521–538 | Cite as

Structural optimization with design constraints on peak responses to temporally correlated quasi-static load processes

  • Chien-Kai WangEmail author
  • Chang-Min Tsai
  • Bo-Sen Chuang
  • Yuan-Lung Lo
Research Paper


Structural optimization has become a widely used tool for various applications due to its capability of providing design freedom and promise to efficient structures. Current optimization methods are usually utilized for producing optimal structural systems subjected to design constraints under definite static or dynamic load distributions. However, engineering structures may experience randomly fluctuating loads in different physical environments. In this paper, a methodology of structural optimization with constraints on peak system responses to temporally correlated quasi-static load processes is developed. The proposed methodology provides an algorithm for generating structures of the optimal designs with constraints on their extreme responses to such environmental load sequences which have correlation features in the time domain. The computational results confirm that material distributions of optimized structures with peak response constraints highly depend on correlation levels of quasi-static load distributions under stationary processes. Furthermore, conventional optimization of structures in statics with displacement constraints is also compared with the reported optimum material distributions with peak response constraints under correlated load sequences. In consequence, the developed methodology provides a powerful tool of structural designs under stationary processes of temporally correlated loads having very low frequencies for fundamental engineering structures and further multidisciplinary mechanics researches.


Structural optimization Peak response constraints Stationary load processes Temporally correlated quasi-static loads Design sensitivity analysis 


Funding information

The authors gratefully acknowledge the support provided by the Taiwan Ministry of Science and Technology (MOST 104-2218-E-032-004, 105-2221-E-032-006, 106-2221-E-032-018-MY2) and the visiting scholar program of the Academia Sinica.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Civil EngineeringTamkang UniversityNew TaipeiTaiwan
  2. 2.Research Center for Applied SciencesAcademia SinicaTaipeiTaiwan
  3. 3.School of Civil, Environmental EngineeringGeorgia Institute of TechnologyAtlantaUSA
  4. 4.Institute of Applied MechanicsNational Taiwan UniversityTaipeiTaiwan

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