Modeling and identification of residual stress fields in cylinders and plates
摘要
In this paper, on the basis of the linearized model of prestressed elastic body, we propose approaches to studying coefficient inverse problems (IP) of 3 types on the prestress identification based on vibration sensing. We present techniques for reconstructing the nature of residual stress state (RSS) inhomogeneity, based on a combination of projection, iterative and finite element (FE) approaches. The fundamentals of the approach to analyzing a sensitivity of dynamic characteristics of elastic bodies to RSS type under various probing modes are discussed. A series of computational experiments is carried out to analyze the influence of RSS parameters and material inhomogeneity on the dynamic response and to reconstruct various types of 2D prestress fields in cylinders and plates. In addition, we present some recommendations for the implementation of the most effective modes of combined probing loading, providing the best reconstruction of RSS of various types in the studied objects.