- analyse the kinematis of a 1DOF, 2DOF and continuous system for arbitrary large motions
- formulate the equations of motion for a 1 DOF, 2 DOF and continuous system for arbitrary large motions using force and moment balance and Lagrange’s equations
- derive the free response from the equations of motion for a 1 DOF, 2 DOF and continuous system (eigenfrequencies, eigenmodes and initial conditions).
- derive the force response from the equations of motion for a 1 DOF, 2 DOF and continuous system (Harmonic, periodic and non-periodic excitation).
- analyse the static stability (buckling) of mechanical system
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This is a part of Semester 3 of the Bachelor Mechanical Engineering (UT-VU) See here for the compete description of this semester.
MECHANICAL VIBRATIONS is the fourth course of the SOLID MECHANICS learning line.
This course is on structural dynamics, particularly the mechanical vibrations of solids. Complex mechanical systems are analysed by creating basic models that can adequately predict the dynamic behaviour. Free and forced vibrations of discrete systems (with one and multiple degrees of freedom) and continuous systems are considered. The ability to analyse the dynamics of mechanical systems is essential knowledge for a mechanical engineer. The course builds on prior courses on dynamics, mechanics of materials and elasticity theory and concludes the theoretical field of structural dynamics.
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