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Structural Engineering and Mechanics Volume 78, Number 6, June25 2021, pages 681-689 DOI: https://doi.org/10.12989/sem.2021.78.6.681 |
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Shakedown analysis of trusses under cyclic thermal load with temperature-dependent yield stress |
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S.Y. Leu, Y.H. Chen and K.C. Liao
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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. | ||
| Key Words | ||
| shakedown analysis; cyclic thermal loading; temperature-dependent yield stress; truss structures; Holder inequality; l-norm; l1-norm | ||
| Address | ||
| S.Y. Leu, Y.H. Chen: Department of Aviation Mechanical Engineering, China University of Science and Technology, No. 200, Jhonghua St., Hengshan Township, Hsinchu County 31241, Taiwan R.O.C. K.C. Liao: Department of Biomechatronics Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan R.O.C. | ||