Advanced Structural Analysis - Villegas, Juan Camilo Molina
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Structural analysis has often been approached using approximate methods such as the Finite Element Method (FEM) or series solutions, rather than analytical solutions. This book, however, begins by presenting the governing differential equations for various structural elements to be studied, and demonstrates how some simple structures can be solved directly using concepts of differential equation solutions and/or boundary value problems. The book presents and applies a novel methodology: the Green’s Functions Stiffness Method (GFSM), which is closely related to the traditional Stiffness Method…mehr

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Produktbeschreibung
Structural analysis has often been approached using approximate methods such as the Finite Element Method (FEM) or series solutions, rather than analytical solutions. This book, however, begins by presenting the governing differential equations for various structural elements to be studied, and demonstrates how some simple structures can be solved directly using concepts of differential equation solutions and/or boundary value problems. The book presents and applies a novel methodology: the Green’s Functions Stiffness Method (GFSM), which is closely related to the traditional Stiffness Method (SM) and the Finite Element Method (FEM), and can be understood as a correction to the FEM. The GFSM merges the strengths of the SM with those of Green’s Functions. The book contains numerous examples and exercises that feature Python code solutions, and some of which also showcase the use of the FEM program OpenSees. By doing so, it provides a solid theoretical foundation and practical numerical implementation of the concepts.
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Autorenporträt
Juan Camilo Molina Villegas is a Professor of Civil Engineering at the School of Applied Sciences and Engineering at EAFIT University, Colombia. Before his current position, he served as a Civil Engineering Professor at the Faculty of Engineering, Universidad de Medellín, and the Faculty of Mines, Universidad Nacional de Colombia. Professor Molina-Villegas earned his Ph.D. from the Universidad Nacional Autónoma de México (UNAM), where his research focused on site effects in the dynamic response of alluvial valleys using boundary methods. This work marked the beginning of his use of Green's Functions for solving engineering problems. With extensive teaching experience, Professor Molina-Villegas has taught courses in Structural Analysis, Continuum Mechanics, and Elastodynamics. He has authored numerous articles published in prestigious Structural Engineering journals and has written an introductory textbook on Structural Analysis. His current research focuses on advanced methods in structural analysis, with a particular emphasis on the application of Green's Functions in structural modeling and analysis, as well as numerical methods such as the Finite Element Method.