Minimum constitutive relation error based static identification of beams using force method

12th International Conference on Damage Assessment of Structures

Guo, Jia^1 ; Takewaki, Izuru^1

Dept of Architecture and Architectural Engineering, Kyoto University, Japan^1

关键词: Beam damage;    Beam structures;    Constitutive Relation Errors;    Constitutive relations;    Force method;    Identifiability;    Static identifications;    Static measurements;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/842/1/012026/pdf
DOI  :  10.1088/1742-6596/842/1/012026

来源: IOP

【 摘 要 】

A new static identification approach based on the minimum constitutive relation error (CRE) principle for beam structures is introduced. The exact stiffness and the exact bending moment are shown to make the CRE minimal for given displacements to beam damages. A two-step substitution algorithm - a force-method step for the bending moment and a constitutive-relation step for the stiffness - is developed and its convergence is rigorously derived. Identifiability is further discussed and the stiffness in the undeformed region is found to be unidentifiable. An extra set of static measurements is complemented to remedy the drawback. Convergence and robustness are finally verified through numerical examples.