Ario and Zawidzki show readers how to handle symmetric structures in engineering using group-theoretic bifurcation theory as a mathematical tool for the finite element analysis of symmetric structures.
Ario and Zawidzki show readers how to handle symmetric structures in engineering using group-theoretic bifurcation theory as a mathematical tool for the finite element analysis of symmetric structures.
Ichiro Ario is an assistant professor in the Graduate School of Advanced Science and Engineering, Hiroshima University. He obtained his Doctor of Engineering degree from Nagaoka University of Technology in Japan. Machi Zawidzki is an assistant professor in the Department of Intelligent Technologies, Institute of Fundamental Technological Research of the Polish Academy of Sciences. He obtained his Doctor of Engineering degree from Ritsumeikan University in Japan.
Inhaltsangabe
Part 1: This is fundamental part 1. Introduction 2. Symmetry and its representation 3. Group Theory and Structural Mechanics 4. Basics of the finite element method Part 2: This is the application of group theory to symmetric structures 5. Block Diagonalization Theory for Dihedral Groups 6. Numerical Analysis of Dihedral Group Invariant Systems 7. Numerical Efficiency Evaluation of Parallel Computing Method 8. Group products A D3. invariant plate element B D2. invariant bending plate element
Part 1: This is fundamental part 1. Introduction 2. Symmetry and its representation 3. Group Theory and Structural Mechanics 4. Basics of the finite element method Part 2: This is the application of group theory to symmetric structures 5. Block Diagonalization Theory for Dihedral Groups 6. Numerical Analysis of Dihedral Group Invariant Systems 7. Numerical Efficiency Evaluation of Parallel Computing Method 8. Group products A D3. invariant plate element B D2. invariant bending plate element
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