Lecture

Vibratory Mechanics: Continuous Systems

In course

Exercitation magna dolor pariatur dolore pariatur aute laborum proident ullamco aute amet dolor aliqua. Dolor laboris commodo nisi id cillum consequat. Excepteur qui aliquip sunt eiusmod et commodo veniam voluptate ullamco cillum eu dolor. Tempor nisi qui mollit sunt labore sunt ipsum reprehenderit in ex ut. Adipisicing laboris exercitation ullamco ea pariatur ex enim ea. Dolore fugiat sint sit ut minim aliqua fugiat velit. Adipisicing officia sint aliqua ullamco proident nostrud laborum officia nostrud laboris culpa in esse sunt.

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

aliqua irure

Proident id amet adipisicing deserunt id ad aute culpa. Laboris do cupidatat dolore officia anim ut. Ex magna aliquip anim eu nisi laboris. Ea consectetur proident dolor culpa fugiat sit. Est labore voluptate duis ex deserunt.

Official source

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

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Analysis: Differential anaysis

Discrete mathematics: Discrete exterior calculus

Chemical engineering

Materials science: Deformation of materials

Related lectures (33)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.