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Beschreibung: Content of the course: - Elastostatics The notions of stress and strain. The planar stress case, normal and shear stresses, stress tensor, rotation of the stress tensor, Mohr stress circle, principal strains and principal strain directions. The planar strain case: normal and shearing strains, strain tensor, rotation of strain tensor, Mohr’s circle for the strains, principal strains and strain directions. Stress-strain relationships. The simple torsion and longitudinal loading cases. Bernoulli beam theory, basic laws, boundary conditions, example. Stress functions. - Vibration Analysis of Mechanical Systems with One Degree of Freedom Basic forms of mechanical oscillators, stationary points, linearization of equations of motion, free. Undamped linear vibrations, rigid-body oscillator. Damped linear vibrations. Forces vibrations, basic forms of excitation, harmonic excitation. - Impact Analysis Basic notions, fundamental laws for impact analysis, impact hypotheses. The free two-body impact case, impact coefficients. Central impact. Eccentric impact, bearing impacts. Lernziele: Students are able to explain the main theories of the elastostatics as well as the vibration and impact analysis and contribute to the solution of interdisciplinary problems. |