Concept

Normal mode

Related lectures (31)

Covers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.

Modal Analysis & Buckling

Explains eigenvalue problems in Abaqus for modal analysis and buckling, covering theory, natural resonance frequencies, eigenmodes, free boundary conditions, and symmetries.

Measurement Techniques: Excitation and Analysis

Explores frequency response measurement, mode visualization, and structural mass effects.

Phonon Band Structure

Explores Phonon Band Structure, Density of States, and Modes in crystal lattices, including the Schrodinger equation and phonon dispersion.

IRSense: Integrated Sensing Platform for Gases and Liquids

Introduces the IRSense project, focusing on optical-based sensing of chemicals for environmental and medical applications.

Lattice Dynamics: Vibrational Modes and Symmetry Relations

Explores lattice dynamics, lattice vibrations' properties, and their impact on heat, specific heat, thermal expansion, and thermal conductivity.

Molecular Spectroscopy: Vibrational Modes

Explores molecular spectra, vibrational modes, Schrödinger equation solutions, and isotopic distribution in mass spectrometry.

Vibratory Mechanics: 2 Degrees of Freedom

Explores equations of motion for 2 degrees of freedom systems in the conservative free regime and symmetrical properties.

Introduction to Vibrational Mechanics

Covers the basics of vibrational mechanics, including objectives, organization details, and the study of oscillators and normal modes.

Transverse Cavity Modes: Laser Oscillations

Covers transverse cavity modes, resonator modes, Gaussian amplitude, laser oscillations, and gain saturation mechanisms.

Vibrational Mechanics: Modes and Equations

Covers the fundamentals of vibrational mechanics and solving equations for vibrating systems.

Plasma Waves: Properties & Frequencies

Explores the properties of plasma waves, focusing on dispersion, cut-off, resonance frequencies, and wave modes.

Light Effects on Materials

Discusses properties like reflectance, transmittance, and absorption in materials.

Instability: parallel flow concepts

Explores fluid flow instabilities, including Rayleigh-Taylor and Kelvin-Helmholtz, and parallel flow concepts like normal mode decomposition and Squire's transformation.

Two-Fluid Waves

Explores two-fluid waves in plasma physics, discussing dispersion relations and wave propagation characteristics.

Inviscid Instabilities: Rayleigh Criterion

Explores parallel flow instabilities, Rayleigh inflection point criterion, and normal mode decomposition in 3D Euler equations.

Generalized Oscillator: Vibratory Mechanics

Explores the concept of a generalized oscillator in vibratory mechanics and its application to a two-degree-of-freedom system.

Elasticity Basics: Vibrational Modes Description

Covers the theory of elasticity to describe vibrational modes of mechanical resonators.

Vibrational Modes in Crystals

Explores vibrational modes in crystals, discussing Debye and Einstein models and their temperature-dependent behavior.

Matrices and Networks

Explores the application of matrices and eigendecompositions in networks.