Evaluation of Infinitesimal Deformation Solution by Finite Deformation Solution in the Case of a Simply Supported Beam under Collision of an Impactor

• Published in: Transactions of the Japan Society of Mechanical Engineers Series A Vol. 67; no. 659; pp. 1119 - 1125
• Main Authors: AOKI, Toshifumi, SASAKI, Kazuaki, ODA, Kenji, KISHIDA, Michiya
• Format: Journal Article
• Language: Japanese
• Published: The Japan Society of Mechanical Engineers 2001
• Subjects: 2-dimensions; Collision; Dynamic Analysis; Elasticity; Finite Deformation Theory; Finite Element Method; Infinitesimal Deformation Theory; Newmark-β Method; Updated Lagrangian Formulation
• ISSN: 0387-5008; 1884-8338
• DOI: 10.1299/kikaia.67.1119

Many researchers have approximately analyzed the dynamic behavior of elastic solid subjected to large deformation using infinitesimal deformation theory, but few of them investigated the applicability of the infinitesimal deformation solution. In this paper, a simply supported beam under collision of an impactor with various velocities is treated using both an infinitesimal and a finite deformation analyses, the quantitative difference between both results is shown, and the limit of applicability of infinitesimal deformation solution is examined. As numerical calculation, 2-dimensional dynamic FEM combined with Newmark-β method is used, and the finite deformation analysis is carried out by Updated Lagrangian method.