Transactions of the Japan Society of Mechanical Engineers Series A
Online ISSN : 1884-8338
Print ISSN : 0387-5008
Identification of Boundary Condition for Elastostatic Thin Plate Bending Problems : 1st Report, BEM Analysis of Inverse Problems for Boundary Values
Masahiro ARAISatoshi OSHIMATadaharu ADACHIHiroyuki MATSUMOTO
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1999 Volume 65 Issue 632 Pages 708-715

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Abstract
In the present study, identification of boundary conditions for elastostatic thin plate bending problems is discussed. In the first step of the research, it is necessary to determine unknown quantities before the identification of the conditions. This paper is concerned with an inverse analysis for the unknown boundary values by the boundary element method (BEM). The unknown boundary values are estimated with additional data for the deflections or the strains given on some internal points of the plate. Some typical numerical calculations show the validity of the present approach, and the usefulness of rank decreasing technique based on singular value decomposition employed with Hansen's L curve method in order to stabilize the numerical solutions on inverse analysis.
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