In this paper, we present a shape identication of a cavity in a structure based on the nite element and the adjoint variable methods using the hammering testing data. The governing equation is employed the equation of motion in the three dimensions. A formulation of the problem based on the adjoint variable method is performed to nd the optimal cavity shape so as to minimize the residual between the computed displacement and the observed displacement. The random tunneling algorithm is introduced to obtain the optimal cavity shape. Some numerical experiments are carried out to investigate the effects of several hammering force on the accuracy of the identied cavity shape.
This paper describes a visualization of cavity regions in a structure by a hammering test using the level set type topology optimization based on the concept of the phase eld method. In this study, the residual between the calculated displacement and the observed displacement was dened as the performance function, and the identication problem of cavity regions was formulated based on the adjoint variable and nite element methods. The numerical experiments were performed to investigate the effect of the regularization parameter. According to this result, it was found that the number of cavities and the cavity shape were affected the regularization parameter. In addition, the numerical example of a three-dimensional problem was described.
In this study, the estimation of a defect depth in concrete is carried out based on the finite element and the adjoint variable methods. As the governing equation, the equation of motion is employed, and the finite element and Newmark's β methods are applied to discretize the equation in space and time, respectively. The estimation of the response of the displacement at observation point and a defect depth is carried out by using based on the adjoint variable method. In the numerical experiment, the defect depth is estimated using the observed displacement value. Results of numerical experiment and some discussions are shows in this paper.
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