LIGO Document T2600211-v1

Simple Beam FEA for stiffness and thermal noise calculations

Document #:
LIGO-T2600211-v1
Document type:
T - Technical notes
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Abstract:
We upload two pieces of code for doing analysis of stiffness, zero-moment point, and thermal noise of a Euler-Bernoulli beam. We attach the documentation for the math inside the code.

The analytic code should work for any beam of uniform cross-section.

The FEA code assumes knowledge of the mass density and second moment of area along the beam.

Ideally, the code will serve as a stepping stone for a more involved computation on the mechanics and thermal noise of suspension designs where the beam equations are relevant. Hopefully it will also be helpful for designers needing to calculate the thermal noise coming from different suspension geometries with wires/fibers of varying profiles.

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