Focusing on the theory and analysis of bifurcation and buckling in structures, this textbook outlines a general procedure for addressing nonlinear governing equations, particularly through the finite-element method. It includes straightforward structural examples involving trusses, columns, and frames to effectively illustrate key principles, making complex concepts more accessible to readers.
The book presents a theoretical framework for understanding how hexagonal agglomeration patterns emerge in industrial regions. It explores the bifurcations within economic geography models that apply to a hexagonal lattice of cities, providing insights into the dynamics of urban organization. Additionally, it includes practical guidance on applying these theoretical concepts to real-world scenarios.
Engineering Use of Group-Theoretic Bifurcation Theory
Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.
Generalized Sensitivity Analysis
Focusing on the advanced concepts of stability and optimization in structural engineering, this book delves into generalized sensitivity analysis methods. It provides a comprehensive framework for understanding how structural responses are affected by variations in design parameters. The text integrates theoretical foundations with practical applications, making it suitable for researchers and practitioners alike. It emphasizes the importance of sensitivity analysis in improving structural performance and resilience, offering insights into optimization techniques that enhance design efficiency.
Helps close the gap between mathematical and engineering practice in bifurcation analysis. This book includes a short set of exercises at the end of each chapter.