はりの曲げ剛性分布の同定法に関する研究

概要

論文の詳細を見る
In solving inverse problems, a priori assumption for the solution is needed in many cases. It is difficult to obtain a reasonable solution if the assumption has some errors. To conquer this problem, the authors have proposed a scheme which combines a method of discretizing a function using the delta functions with the boundary element method (BEM). In this study, the scheme is applied to the identification of bending rigidity of a beam. The method using the delta function is especially applicable to this problem because the second derivative of the objective function (bending rigidity) included in the basic integral equation must be treated. The new scheme will deal with it well while the usual element may lose its information due to differenciation. Besides, it will express a sudden change of the objective function such as a step change pretty well while it is difficult to interpolate such a function by the usual element. The new scheme is applied to identify the bending rigidity of beams with various shapes. It is demonstrated that sufficiently accurate results can be obtained regardless of the shape of the rigidity distribution, without the need for any a priori assumptions.
一般社団法人日本機械学会の論文
2004-10-25