Description
Book SynopsisA unique text integrating numerics, mathematics and applications to provide a hands-on approach to using optimization techniques, this mathematically accessible textbook emphasises conceptual understanding and importance of theorems rather than elaborate proofs. It allows students to develop fundamental optimization methods before delving into MATLAB''s optimization toolbox, and to link MATLAB''s results with the results from their own code. Following a practical approach, the text demonstrates several applications, from error-free analytic examples to truss (size) optimization, and 2D and 3D shape optimization, where numerical errors are inevitable. The principle of minimum potential energy is discussed to highlight the deep relationship between engineering and optimization. MATLAB code in every chapter illustrates key concepts and the text demonstrates the coupling between MATLAB and SOLIDWORKS for design optimization. A wide variety of optimization problems are covered including con
Trade Review'Design Optimization using MATLAB and SOLIDWORKS by Dr. Suresh provides an excellent review of various optimization methods, especially for structural problems. Its introduction to MATLAB would help students who have had little experience with this software to become familiar with it quickly and apply it to some of the basic optimization problems.' Hamid Torab, Gannon University
'Dr. Suresh's text brings his contributions to shape optimization into the classroom by connecting optimization, MATLAB, SOLIDWORKS, and SOLIDLAB into a single textbook. This text enables the reader to build upon this research accomplishment. I look forward to seeing what my students can achieve with this textbook at their fingertips.' Cameron Turner, Clemson University
Table of ContentsPreface; Table of Contents; 1. Introduction; 2. Modeling; 3. Introduction to MATLAB; 4. Unconstrained Optimization: Theory; 5. Unconstrained Optimization: Algorithms; 6. MATLAB Optimization Toolbox; 7. Constrained Optimization; 8. Special Classes of Problems; 9. Truss Analysis; 10. Size Optimization of Trusses; 11. Gradient Computation; 12. Finite Element Analysis in 2D; 13. Shape Optimization in 2D; 14. Finite Element Analysis in 3D; 15. SOLIDLAB: A SOLIDWORKS-MATLAB Interface; 16. Shape Optimization using SOLIDLAB; 17. Appendix; 18. References.
