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Advanced Structural Analysis: From Theory to Computer Implementation (OpenSees Examples with Python Code Solutions) starts by laying out the differential equations governing various structural elements and shows how to solve simple structures directly using concepts from differential equations and boundary value problems. Introducing the Green’s Functions Stiffness Method (GFSM), a novel technique related to the traditional Stiffness Method (SM) and FEM, the GFSM corrects FEM and merges SM's strengths with those of Green’s Functions. The book features numerous examples and exercises with Python code solutions, some of which also demonstrate the use of OpenSees, a popular FEM program.
By offering theoretical foundations and practical numerical implementations, it provides a comprehensive understanding of structural analysis concepts.
List of contents
1. Introduction
2. Springs, uniform rods, and trusses
3. Non-uniform rods
4. Uniform Euler-Bernoulli beams and frames
5. Non-uniform Euler-Bernoulli beams and frames
7. Uniform Euler-Bernoulli beams on elastic Winkler foundation and piles
8. Uniform Timoshenko beams and frames
9. Non-uniform Timoshenko beams and frames
Appendix A: Dirac delta and Heaviside functions
Appendix B: Common Python commands
Appendix C: Answers to problems
About the author
Juan Camilo Molina Villegas is Professor of Civil Engineering at the School of Applied Sciences and Engineering at EAFIT University. 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.
