Finite Element Principles and Practices
University of California at San Diego Course, UCSD, La Jolla, San Diego, CA
Course Number: AMES-40054 [3 units in Electrical and Computer Engineering]
Instructor: Sam Kassegne, PhD, PE
Detailed Syllabus and Course Outline (Fall 2003):
Basic Principles of Finite Element Method.
Modern Concepts in Simulation and Modeling [Behavioral Modeling, Modeling Levels such as device and system-level]
Some basic but important mathematical and physical concepts in FEA.
Concepts such as elements and nodes, Discretization and other Approximations. Introduce ANSYS.
1-Dimensional FEs (e.g., beams, bars, cables and springs).
Stiffness and load vector formulations and boundary conditions. Build ANSYS Model.
2-Dimensional Finite Elements.
Discussion includes plane elements (plane-stress and plane-strain), and plate elements. Build ANSYS Model for a plane stress problem.
Discussion on Plates and Shells and their modeling in FE programs.
Detailed look at shell elements.
Discussion on Isoparametric Formulations, substructure analysis., quadrature schemes, transformations, node numbering, storage, equation solving techniques. Build ANSYS Model for a shell problem.
Guest Lecture - TBA
Thermal Analysis. Basic Equations, FEs for thermal analysis, Thermal transients. Build ANSYS Model for a thermal problem.
2 hour Mid-term exam.
Discussion on Modeling, Numerical Errors and Accuracy.
Discussion includes tests for elements, sources and detection of numerical errors, convergence study, and adaptive techniques.
Session 7 – Advanced FEA and Modeling
Microelectro-Mechanical Systems [MEMS] FE modeling and analysis.
Coupled Field Analysis.
Free vibration and dynamic problems. Include response spectra analysis.
Modeling mass, condensation technique. Build ANSYS Model for a MEMS problem.
Session 8 – Advanced FEA and Modeling
Elements of CFD [Computational Fluid Dynamics], Microfluidics.
Discussion on stability analysis and nonlinear analysis.
Solution algorithms and convergence discussed. Build ANSYS Model for a CFD problem.
Presentation of Project work by students.
All home-works could be submitted through e-mail or zip/diskettes. Students are encouraged to bring their laptops to class.
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