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http://dx.doi.org/10.12989/sem.2021.78.6.681

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)
Publication Information
Structural Engineering and Mechanics / v.78, no.6, 2021 , pp. 681-689 More about this Journal
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
shakedown analysis; cyclic thermal loading; temperature-dependent yield stress; truss structures; Holder inequality; $l_{\infty}$-norm; $l_1$-norm;
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