Vibratory mechanics: course overview

Related lectures (30)

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Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.

Covers the basics of continuous-time signal processing and Fourier analysis in both continuous and discrete time domains.

Explores viscoelastic materials, transforms, and models in materials science.

Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.

Delves into modeling buildings for vibrational analysis in structural systems.

Explores the forced harmonic oscillator, damping, and resonance phenomenon, focusing on the amplitude of oscillations in resonance.

Explores the forced oscillator regime in vibratory mechanics, emphasizing clean pulsations and a generalized conservative approach.

Provides an overview of the mathematical analysis of vibrating strings using Fourier series and Laplace transforms.

Explores the application of separation of variables in hydrodynamics and the concept of self-similarity.

Introduces the discrete-time Fourier transform and its application to stable LTI systems, covering properties and frequency response.