Lecture

Resonators: Understanding Frequency Response and Eigenvalues

In course

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Description

This lecture introduces resonators as systems that amplify external forces at specific frequencies based on the quality factor. It covers the importance of resonators in precise frequency measurements and mass detection. The Eigenvalue problem is solved for flexural resonators, emphasizing boundary conditions and eigenvectors. The lecture also discusses the significance of normalization in defining mode shapes and the orthogonal base for Hilbert space functions.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_uswzshe3

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Discrete mathematics: Discrete exterior calculus

Algebra: Linear algebra

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