Lectures related to Forced Vibrations: Fourier Series and Periodic Steady State

Fourier transforms: Light-matter interaction

Explores Fourier and Laplace transforms in materials science, focusing on light-matter interaction, diffraction patterns, and crystal properties.

Vibratory mechanics: course overview

Provides an overview of Vibratory Mechanics course plan and interactive session instructions.

Vibration of Diatomic Molecules

Explores the vibration of diatomic AB molecules and Fourier series, emphasizing equations of motion and Dirichlet's theorem.

Fourier Series: Harmonic Analysis

Covers the Fourier series representation of periodic signals and harmonic analysis.

Fourier Transform: Basics and Examples

Explains the basics of Fourier transform and demonstrates its application through examples, including periodic functions and Fourier Transform Pairs.

DFT example - analysis of musical instruments

Explores the analysis of musical instruments, including pitch, frequency, harmonics, and timbre.

Fourier Series and Harmonics

Covers Fourier series, harmonic decomposition, and limit cycle prediction in dynamic systems.

Input impedance: Wave reflections & Fourier analysis

Explores input impedance, wave reflections, and Fourier analysis of arterial waves.

Vibratory Mechanics: QCMs Week 12

Covers topics related to vibratory mechanics, including free and forced oscillations.

Introduction to Vibratory Mechanics

Covers basic definitions and transformations in vibratory mechanics.

Discrete-Time Fourier Transform

Explores the discrete-time Fourier transform, its properties, and signal transformations, including examples like the rectangular pulse and unit impulse.

Forced Harmonic Oscillator

Explores the forced and damped harmonic oscillator, focusing on resonance and initial conditions.

Structures: Vibrations and Miles' Formula

Covers the assembly of structures, vibrations, and Miles' Formula for estimating loads due to random vibrations.

Foam Inducing Nonlinear Damping

Explores foam inducing nonlinear damping in oscillators, emphasizing the exacerbation of nonlinear effects by foam.

Advanced Physics I: Oscillations and Dynamics

Covers advanced topics in physics, focusing on oscillations and dynamics, including the harmonic oscillator and forced oscillations.

Boundary Conditions and Basis Decomposition

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Harmonic Oscillators: Equations, Damping, and Resonance

Explores harmonic oscillators, damping effects, forced oscillations, and resonance phenomena in various systems.

Discrete-Time Fourier Transform: Properties

Explores the properties of Discrete-Time Fourier Transform, including linearity, time and frequency shifts, time reversal, and convolution.

Harmonic Oscillator and Circular Motion

Explores harmonic oscillators, elastic force, damped motion, and circular motion concepts, including initial conditions and damping effects.

Forced Oscillations: Derivation

Covers the derivation of forced oscillations in an harmonic oscillator.