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Multi-body Systems and Strucural Dynamics
MK.3030

Description
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. 

Crédits ECTS
7.5

Langue d'enseignement
Deutsch

Langue d'examen
English/Deutsch

Langue des supports pédagogiques
Deutsch/English

Acquis d'apprentissage fondamentaux

Entité de gestion (faculté)