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.

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