Group Theory and G-Vector Spaces in Engineering Structures Vibration, Stability and Statistics - Ellis Horwood Series in Civil Engineering.

This book sets out to explore and formulate applications of group theory and G-vector spaces in the theory of structures. On the basis of abstract group theory, symmetry groups, vector spaces and theory of group representations, the theoretical basis and algorithmic procedures in G-vector spaces, entitled the G- vector analysis, are formulated for elements with complex symmetry in general and specifically in methods employed in vibration, stability and statics of structures.;In comparison with conventional utilizations of symmetry properties of the structure, the G-vector analysis provides a systematic procedure, simplification and facilitation of the analysis, with a large reduction in the amount of computation. The volume will be of benefit to scientists in the field of the theory of structures, civil engineers dealing with structural analysis, consultants in structural engineering, companies that develop computer programs in structural analysis, students and postgraduate students of structural engineering, and scientists and engineers in the field of mechanical engineering.