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The methods outlined at this site are both analytical, meaning closed-form mathematical solutions to well-described problems, and numerical, meaning computational methods that often involve discretization of a problem in space or time.
The concept of spring stiffness, as well as Hooke's Law, is described on the Stiffness Formulas page along with formulas that apply to axial, shear, torsion, and bending elements.
Analytical methods that are helpful in solving for static and dynamic stiffness of beams, frames, and cables are catalogued on the Frequency Formulas page.
A step-by-step introduction to modeling structures using the free software package MASTAN is provided on the Structural Modeling page.
An introduction to matrix structural analysis methods that are the basis of structural modeling is provided on the Matrix Structural Analysis page.
A spreadsheet implementation of Newmark's numerical method for calculating the damped response of a single degree-of-freedom system is provided on the Dynamic Response page.
A collection of tools available for performing a Fast Fourier Transform is provided on the FFT Tools page.
Some useful resources for further study of signal analysis are provided on the Signal Analysis page.
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