MATLAB Implementation for Lamb Wave Dispersion Curve Calculation

Resource Overview

Lamb wave dispersion curves exhibit multimodal characteristics with symmetric and antisymmetric modes, making conventional analysis methods highly complex. This MATLAB program effectively computes dispersion curves using numerical solution approaches, solving a significant challenge for researchers in this field. The implementation employs root-finding algorithms to handle the transcendental dispersion equations.

Detailed Documentation

Lamb wave dispersion curves represent a critical research topic in mechanical, acoustic, and electronic engineering fields. These curves demonstrate multimodal characteristics, categorized into symmetric and antisymmetric modes, which introduce substantial analytical complexity. This MATLAB program successfully addresses these challenges through numerical implementation that solves the governing dispersion equations. The code utilizes specialized algorithms including matrix determinant calculations and frequency-wavenumber domain analysis to accurately trace multiple mode branches. By implementing this program, researchers can gain deeper insights into Lamb wave dispersion behavior, facilitating more effective applications in mechanical, acoustic, and electronic engineering practices. The computational approach involves iterative solutions of the Rayleigh-Lamb frequency equations with proper boundary condition handling. We encourage users to explore the program's capabilities through parameter variations and mode identification features, while sharing their findings to collectively advance research and development in this domain. The code structure allows for customization of material properties and frequency ranges to accommodate various research requirements.