Acoustics-01: Fundamentals – Wave Equation and Sound Speed

Tracing the history of acoustics from ancient Chinese tuning to Galileo, and deriving the fundamental wave equation that governs all sound propagation.

Tracing the history of acoustics from ancient Chinese tuning to Galileo, and deriving the fundamental wave equation that governs all sound propagation.

Need more computing power? Learn how to offload COMSOL simulations to HPC clusters. We cover the full headless workflow: exporting to MATLAB/Java, configuring Slurm scripts, and managing batch jobs.

Numerical or symbolic? Engineering or theory? We compare the 'Big Three' math software—MATLAB (Matrix Laboratory), Mathematica, and Maple—analyzing their core strengths, data structures, and ideal use cases to help you choose the right tool for your research.

Learn how to design and animate logos for academic presentations, research group websites, and promotional videos. This post showcases a dynamic logo animation example.

Strip away the noise and master the essentials. A comprehensive guide with mindmaps, practical scenarios, and command cheat sheets for faster troubleshooting.

Dynamic Stiffness Matrix with exact wave solutions. One element per member at any frequency. Throw-off elements for infinite domains.

The End of Continuum: Why waves in Sand depend on gravity, why Nanotubes have an Escape Frequency, and how 'Pixelated' matter violates classical mechanics.

Symmetry Breaking: How Anisotropy and Inhomogeneity couple wave modes, defeat Helmholtz decomposition, and create geometric attenuation in Composites and FGMs.

Helmholtz decomposition separates P and S body waves. Rayleigh waves on free surfaces. Lamb waves in plates for Structural Health Monitoring.

Model wave attenuation with Kelvin-Voigt, Maxwell, and SLS models using complex modulus. Master FFT signal processing: avoid aliasing, spectral leakage, and wraparound artifacts.