ME413 INTRODUCTION TO FINITE ELEMENT ANALYSI
| Course Code: | 5690413 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 5.0 |
| Department: | Mechanical Engineering |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Assoc.Prof.Dr. ÖZGÜR UĞRAŞ BARAN |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
1. Strain-displacement relations, Stress-strain relations, Equations of equilibrium and motion, Strain energy density function and strain energy, Potential of external forces
2. Principle of virtual work , Minimum potential energy
3..Discritization concept, Approximation concept, Finite elements and nodes, Finite element formulation, Element matrices and vectors , .Assembly concept, System matrices and vectors
4.Bar finite element and analysis of trusses, transformations, Beam finite element and analysis of frames, transformations, Determination of element stresses and reaction forces, spring elements
5. Plane stress and plane strain problems, Natural coordinate systems,Finite element formulation for plane elasticity
6. Kinetic energy and mass matrix, Natural modes and frequencies, Mode superposition and transient response, Dynamic truss and frame problems
7. Stress stiffening, Geometric stiffness, Buckling concept and applications
8. Multipoint constraints, Constraint transformation, Lagrange multipliers, Penalty function, .A plane contact element
Course Content
Review of basic laws of continuum. Variational and weighted residual methods. Element type. Interpolation function. Boundary conditions. Transformation and assembly of element matrices. Solution methods and accuracy. Examples from solid mechanics, heat transfer and fluid mechanics.
Course Learning Outcomes
1. An understanding of basic concepts and relations in elasticity
2. Ability to understand the concepts and use of energy methods in solid mechanics
3. Ability to understand the basics of computational mechanics, Ability to understand basics of finite element method
4. Ability to understand bar formulation and truss analysis, Ability to understand beam formulation and frame analysis, Ability to analyze stresses and reactions
5. Ability to extend FEM to 2D problems, Ability to formulate a 2D element, Ability to analyze plane stress and strain problems
6. Ability to understand dynamic behavior, Ability to determine natural modes, Ability to determine transient response
7. Ability to understand initial stress problems, Ability to derive geometric stiffness matrices, Ability to determine critical loads
8. Ability to understand and impose multipoint constraints, Ability to derive a contact element
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | Ability to establish the relationship between mathematics, basic sciences and engineering sciences with engineering applications. | ✔ | |||
| 2 | Ability to find and interpret information | ✔ | |||
| 3 | Ability to follow the literature and technology related to his/her topic of interest | ✔ | |||
| 4 | Recognition of the need to keep oneself up to date in his/her profession | ✔ | |||
| 5 | Possession of written and oral communication skills | ✔ | |||
| 6 | Ability to conduct team work (within the discipline, inter-disciplinary, multi-disciplinary) | ✔ | |||
| 7 | Ability to produce original solutions | ✔ | |||
| 8 | Use of scientific methodology in approaching and producing solutions to engineering problems and needs | ✔ | |||
| 9 | Openness to all that is new | ✔ | |||
| 10 | Ability to conduct experiments | ✔ | |||
| 11 | Ability to do engineering design | ✔ | |||
| 12 | Awareness of engineering ethics, knowledge and adoption of its fundamental elements | ✔ | |||
| 13 | Ability to take societal, environmental and economical considerations into account in professional activities | ✔ | |||
| 14 | Possession of pioneering and leadership characteristics in areas related to the profession | ✔ | |||