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

S.Y. Leu, Y.H. Chen and K.C. Liao

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.

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