545 粘弾性構造物の非線形有限要素解析

概要

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This paper presents the formulation of geometorical non-linear finite element (FE) analysis which are described by fractional operators. Recently, the linear FE analysis involving fractional operators was reported by Shimizu and Zhang (JSME, 2000). They obtained the linear stiffness matrix and "linear viscoelastic damping matrix" asociated with the parameters of material, such as fractional order, shear modulus and "viscoelastic modulus" respectivily. But they has not deal with the effect of non-linearity. This paper devolops the linear FE analysis into non-linear problems. The non-linear stiffness matrix was obtained from second order strain energy with describs geometrical non-linearty. The computational results of the viscoelastic structures (such as a sillicone gel insulator) were also shown.
社団法人日本機械学会の論文
2002-09-13