Kiyohiro Ikeda
Nagaoka University of Technology
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Publication
Featured researches published by Kiyohiro Ikeda.
Applied Mechanics and Engineering | 1991
Kiyohiro Ikeda; Kazuo Murota
Abstract A group-theoretic method to trace bifurcation behavior of truss structures with regular-polygonal symmetry is proposed. By means of a suitable ‘local’ coordinate transformation, the present method decomposes the tangent-stiffness matrix into a block-diagonal form with possible occurrences of twice-repeated matrices. An efficient way to compute the block-diagonal form is described in view of the sparseness of the local transformation matrix. This achieves computational efficiency and moreover leads to systematic categorization of critical points. The present method is applied to a series of regular-polygonal truss domes to demonstrate its usefulness.
International Journal of Solids and Structures | 1992
Kiyohiro Ikeda; Ichiro Ario; Kunio Torii
Abstract This paper presents a block-diagonalization method to solve stiffness equations of isotropic symmetric plates. By means of a suitable “local” coordinate transformation, chosen based on group theory, the stiffness matrix is decomposed into a block-diagonal form. The stiffness equation in the local coordinate is solved block by block, thus realizing numerical efficiency and greatly reducing the requisite amount of computer memory. The efficiency has been further upgraded with the aid of the concept of augmented orbit. This method is applied to a square isotropic plate subject to “asymmetric” loads to show its usefulness.
Transactions of the JSME (in Japanese) | 2017
Takuya Iguchi; Yuki Yamakawa; Kiyohiro Ikeda
Transactions of the JSME (in Japanese) | 2016
Takuya Iguchi; Yuki Yamakawa; Kiyohiro Ikeda
Archive | 2018
Kiyohiro Ikeda; Mikihisa Onda; Yuki Takayama
Archive | 2017
Kiyohiro Ikeda; Kazuo Murota; Yuki Takayama; Motohiro Kamei
MPRA Paper | 2016
Kiyohiro Ikeda; Kazuo Murota; Yuki Takayama; Motohiro Kamei
Archive | 2011
Kiyohiro Ikeda; Kazuo Murota; Takashi Akamatsu
The proceedings of the JSME annual meeting | 2010
Ryuji Shigemitsu; Tetsuya Matsumoto; Yu Ishii; Taro Ishikawa; Nobuhiro Yoda; Yuki Yamakawa; Kiyohiro Ikeda; Keiichi Sasaki
Proceedings of the 1992 Annual Meeting of JSME/MMD | 2002
Yuki Yamakawa; Kenjiro Terada; Kiyohiro Ikeda; Keisuke Satoh; Kunio Torii