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🎯 Match the Frequency

A 3-story building. A target natural period. Your only lever is the story stiffness — tune it until the building's own fundamental period matches the target. Real modal eigenvalue physics, the same engine behind the Mode Shape Explorer simulation, no faking it.

Building

3 equal stories, 200 t mass each

Uniform story stiffness (all floors equal)

Target Period T₁

0.400 s

Your Stiffness

Story stiffness k 150,000 kN/m

Live Result

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Your Period T₁

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% Error from Target

This game runs the exact same eigenvalue solver (engine/dynamics.js → eigenSolve) verified elsewhere on this platform — cross-checked against an independent Python (NumPy) calculation for a 3-story building, matching to 5 decimal places in both frequency and mode shape ratio before it was ever used in a game or simulation.

Method

ModelLumped-mass shear building: each story is a mass connected to the next by a story stiffness — classic MDOF idealization (Chopra §9).

SolverInverse power iteration with M-orthogonal deflation to extract the fundamental mode from [K]{φ}=ω²[M]{φ}.

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