分数階微分オペレータで記述される粘弾性体の有限要素解析 : 3次元の構成方程式と有限要素方程式の定式化

概要

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This paper presents formulations of FE analysis for viscoelastic structures based on polymeric materials such as silicone gel and rubber. Equations of motion and viscoelastic constitutive laws in three dimensions are manipulated. Development of the element relaxation matrices in three dimensional constitutive equations and of the element damping matrix in finite element equations is the main results of this paper. The resulting equations of motion of viscoelastic structures can be solved by a proposed numerical integration method. A simple problem is numerically calculated by the FE program developed by means of the presented theory. The formulation and the computational result show that the behavior of this kind of materials modeled by the fractional operators is different from that by well known integer differential operators.
一般社団法人日本機械学会の論文
2000-07-25