柔軟構造のばね・セグメント離散化による簡易設計法

概要

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A design methodology of flexible structure is presented for the purpose of enrichment of the structural function by utilizing the mechanics realized by large elastic deformation of flexible members. The flexible member is modeled by straight bar segments linked by virtual coil springs. Its large deformation is analyzed by means of the Lagrange multiplier method, the functional of which is constituted in line with the principle of stationary potential energy with constraints on geometrical boundary conditions. The sensitivity analysis is formulated especially for the solution obtained by the Lagrange multiplier method so as to approximate the change of the structural response in the first-order sense with respect to design variables. Owing to the sensitivity analysis, governing equation of the design variables to realize the prescribed response of the structure is derived as a set of linear simultaneous equations. The solution of design variables is determined by the Moore-Penrose generalized inverse since the coefficient matrix of the equation becomes rectangular in general. Adequacy of the proposed formulation is attested through the successful renewal of the flexural rigidity of members in numerical examples to realize the prescribed relationship between external forces and displacements.
一般社団法人日本機械学会の論文
1999-08-25