CONVERSION BETWEEN SOLID AND BEAM ELEMENT SOLUTIONS OF FINITE ELEMENT METHOD BASED ON META-MODELING
J.A.S.C Jayasinghe1, Seizo Tanaka2, Lalith Wijerathne3, Muneo Hori4 and Tsuyoshi Ichimura5
1) Ph.D. Candidate, Department of Civil Engineering, University of Tokyo (Bunkyo, Tokyo 113-0032).
2) Assistant Professor, Earthquake Research Institute, University of Tokyo (Bunkyo, Tokyo 113-0032).
3) Associate Professor, Earthquake Research Institute, University of Tokyo (Bunkyo, Tokyo 113-0032).
4) Professor, Earthquake Research Institute, University of Tokyo (Bunkyo, Tokyo 113-0032).
5) Associate Professor, Earthquake Research Institute, University of Tokyo (Bunkyo, Tokyo 113-0032).
Abstract: Based on meta-modeling, which allocates structural mechanics as a mathematical approximation of continuum mechanics, this paper proposes a conversion method from a solid element solution to a beam element solution and vice versa. A key issue is the rigorousness of the proposed conversion method; meta-modeling ensures that the most suitable beam or solid element solution is the one that is close to the solid or beam element solution, respectively, since a distance between these solutions is rigorously defined in a function space of continuum mechanics. Two examples of the proposed conversion method are presented. First, a beam element solution of target frame is converted to a solid element solution, which serves as an initial guess of the conjugated gradient method that is used to solve a solid element model. Second, it is shown that cross sectional forces of cantilever beam with biaxial bending are readily computed for a solid element solution, when it is converted to a beam element solution.
Keywords: finite element method, solid element analysis, beam element analysis, continuum mechanics, structural mechanics, conjugate gradient method.
Bibliographical Reference:
J.A.S.C Jayasinghe, Seizo Tanaka, Lalith Wijerathne, Muneo Hori and Tsuyoshi Ichimura. “CONVERSION BETWEEN SOLID AND BEAM ELEMENT SOLUTIONS OF FINITE ELEMENT METHOD BASED ON META-MODELING.” In Proceedings of International Conference on Civil and Building Engineering Informatics (ICCBEI 2015), 119. Tokyo, Japan, 2015.