Lecture

Vibratory Mechanics: Continuous Systems

In course

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Description

This lecture covers the vibratory mechanics of continuous systems, including separation of variables for 2nd and 4th order systems like ropes, bars, and beams. It explains the analytical study of behavior, constituent properties, and differential equations governing vibratory functions. The lecture also delves into lateral and longitudinal vibrations of strings and bars, addressing axial displacement, elasticity modules, and the expression of elastic forces. Boundary conditions, harmonic solutions, and the general wave equation solution are discussed, along with the study of vibrations in straight beams. The lecture concludes with the resolution of differential equations and conditions for free ends and perfect fits.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_qypql7by

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Ontological neighbourhood

Mathematics

Analysis: Differential anaysis

Discrete mathematics: Discrete exterior calculus

Chemical engineering

Materials science: Deformation of materials

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