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发表时间：2007-01-01

发表刊物：力学学报

期号：6

页面范围：774-780

ISSN号：0459-1879

摘要：In the present work, Tikhonov's regularization approach is used to solve inverse second-order transient heat conduction problems with multi-variables, with Bregman distances and weighted Bregman distances used as regularization terms for the Tikhonov's function. The inverse problem is formulated implicitly as an optimization problem with the cost function being taken as squared residues between calculated and measured quantities. The eight-point finite element is used for the discretization in the space system and a time stepping scheme is used for transient analysis. A finite element model is established for sensitivity analysis for direct and inverse problems, taking account of inhomogeneity and parameters distribution. Combined identifications can be carried out for thermal parameters and boundary conditions. Satisfactory numerical validation is obtained including a preliminary investigation of effect of noise data on the results and the computational efficiency for different regularization terms. Results show that the proposed method can identify single and combined thermal parameters and boundary conditions for second-order transient heat conduction problems with good precision.

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