変位入力による外力同定の有限要素区間解析

概要

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A formulation for finite element interval analysis with respect to identification of external loads on the basis of uncertain displacement input under the assumption that the stiffness matrix of the structural system of interest is known with certainty in problems of linear, elastic structures subjected to static loading is proposed. The input nodal displacements are assumed to include uncertain error, and the error is assumed to be confined in a convex hull. The governing equation of the uncertain nodal displacements that indicate the interval of nodal forces is derived from the results of sensitivity analysis with respect to uncertain displacements, and is solved using the Moore-Penrose generalized inverse. The results of the interval analysis are verified by a simulation for an elastic, square plate under multiple loads.
一般社団法人日本機械学会の論文
1997-08-25