- Linear continuum mechanics, stress and strain state, balance equations and elastic material behaviour;
- Energy methods of the bending theory incl. the handling of statically indeterminate systems;
- Curved beams; shear centre and torsion of prismatic bars;
- Stability problems;
- Kinetics of rigid bodies;
- Transition to other reference systems;
- Spatial motion of rigid bodies incl. gyroscopic motion;
- Elements of the analytical mechanics;
- Vibrations with one and two degrees of freedom.
- Energy methods of the bending theory incl. the handling of statically indeterminate systems;
- Curved beams; shear centre and torsion of prismatic bars;
- Stability problems;
- Kinetics of rigid bodies;
- Transition to other reference systems;
- Spatial motion of rigid bodies incl. gyroscopic motion;
- Elements of the analytical mechanics;
- Vibrations with one and two degrees of freedom.
- Lecturer: Hackl Klaus
1. Energy methods (EM2, 6)
1. Strain energy and complementary strain energy
2. Work and energy theorems
3. Bar under thermal strains
4. Principle of virtual work
2. Shear stresses in beams (EM2, 4.6, 5)
1. Equilibrium and shear flow
2. Shear center
3. Warping of cross section
4. Torsion bar
5. Energies and deformation
3. Energy methods in dynamics (EM3, 4)
1. Constraints
2. d’Alembert‘s principle
3. Lagrange equations
4. The rigid body
4. Dynamics of three-dimensional motion (EM3, 3.4)
1. The rotation tensor
2. The angular velocity vector
3. Three-dimensional kinetics
4. The inertia tensor
5. Balance of angular momentum
6. The Euler equations
5. Hamiltonian dynamics
1. Cyclic coordinates and conservation laws
2. Dynamical systems and chaotic motion
1. Strain energy and complementary strain energy
2. Work and energy theorems
3. Bar under thermal strains
4. Principle of virtual work
2. Shear stresses in beams (EM2, 4.6, 5)
1. Equilibrium and shear flow
2. Shear center
3. Warping of cross section
4. Torsion bar
5. Energies and deformation
3. Energy methods in dynamics (EM3, 4)
1. Constraints
2. d’Alembert‘s principle
3. Lagrange equations
4. The rigid body
4. Dynamics of three-dimensional motion (EM3, 3.4)
1. The rotation tensor
2. The angular velocity vector
3. Three-dimensional kinetics
4. The inertia tensor
5. Balance of angular momentum
6. The Euler equations
5. Hamiltonian dynamics
1. Cyclic coordinates and conservation laws
2. Dynamical systems and chaotic motion
- Lecturer: Hackl Klaus
Lecturer: Prof. Dr. Klaus Hackl