Structural Engineering and Mechanics

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Shakedown analysis of trusses under cyclic thermal load with temperature-dependent yield stress

  • Leu, S.Y. (Department of Aviation Mechanical Engineering, China University of Science and Technology) ;
  • Chen, Y.H. (Department of Aviation Mechanical Engineering, China University of Science and Technology) ;
  • Liao, K.C. (Department of Biomechatronics Engineering, National Taiwan University)
  • Received : 2020.12.05
  • Accepted : 2021.04.03
  • Published : 2021.06.25
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Abstract

The paper aims to revisit shakedown analysis involving temperature-dependent yield stress. Formulations and numerical implementations are focused on truss structures subjected to cyclic thermal and constant mechanical loads. In particular, a systematic approach based on the duality relationship of l∞-norm and l1-norm is established to state the dual formulations for static and kinematic shakedown analysis of truss structures. Illustrative examples are involved statically indeterminate three-bar and five-bar trusses, respectively. Numerical effort is made to acquire shakedown limit temperature by using the linprog function provided by MATLAB. Furthermore, the finite-element analysis using ABAQUS is also performed for rigorous comparisons.

Keywords

Acknowledgement

The authors gratefully acknowledges the financial support by the Ministry of Science and Technology in Taiwan.

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