Lecture
- Elements of multibody systems: Rigid bodies; rigid and elastic bonds; damping and friction
- Spatial kinematics of rigid bodies: Euler's velocity formula and acceleration; instantaneous pole; kinematics of relative motion; Euler angle; coordinate transformation
- Spatial rigid-body kinetics: mass moments of inertia; centre of gravity and moment theorem in space (Euler's gyroscopic equations)
- Linesarisation of equations of motion
- Principles of mechanics: d'Alembert's forces of inertia; theorem of work; principle of d'Alembert in the Lagrangian version (virtual work); Lagrangian equations of the 1st kind; Lagrangian equations of the 2nd kind
- Vibrations of rigid and elastic multibody systems: Vibrations of rigid-body systems with several degrees of freedom; elastic bodies; continuum vibrations.
- Introduction to the finite element method: basics, element stiffness matrices, approach functions, special element types, reduction methods, static and dynamic analyses, transient analyses.
Tutorial
- Spatial kinematics and kinetics of rigid bodies
- Principles of mechanics: d'Alembert's forces of inertia; theorem of work; principle of d'Alembert in the Lagrangian version (virtual work); Lagrangian equations of the 1st kind; Lagrangian equations of the 2nd kind
- Finite element analyses: pre- and post-processing, element types, dynamic calculations.
