Content:
1. Principle of FEM in static problems, discretization, deformation parameters.
2. Stiffness matrix of a truss element, load vector.
3. Assembling of global matrices and vectors, fundamental matrix equation in statics.
4. Solution of displacement and reactions in practical exercises with truss elements.
5. Transformation from the local to the global coordinate system.
6. Applications for lattice design.
7. Beam element stiffness matrix and application statics on the plane frames.
8. Mathematical formulation of the Finite Element Method (weak formulation of the problem, its discretization, solving the linear system of equations).
9. Finite differences method and its application to solving selected statics and transient problems of mechanics.
10. Introduction of boundary element methods and its applications.
11. Introduction of discrete elements and its applications.
12. Error analysis (a prior and a posterior estimates), visualization tools.
1. Principle of FEM in static problems, discretization, deformation parameters.
2. Stiffness matrix of a truss element, load vector.
3. Assembling of global matrices and vectors, fundamental matrix equation in statics.
4. Solution of displacement and reactions in practical exercises with truss elements.
5. Transformation from the local to the global coordinate system.
6. Applications for lattice design.
7. Beam element stiffness matrix and application statics on the plane frames.
8. Mathematical formulation of the Finite Element Method (weak formulation of the problem, its discretization, solving the linear system of equations).
9. Finite differences method and its application to solving selected statics and transient problems of mechanics.
10. Introduction of boundary element methods and its applications.
11. Introduction of discrete elements and its applications.
12. Error analysis (a prior and a posterior estimates), visualization tools.