Gore–Gilet Acoustic Guitar Model — 1/2/3/4 DOF (Coupled)

1DOF (Helmholtz) • 2DOF (Top+Air) • 3DOF (Top+Back+Air) • 4DOF (Top+Back+Air+Sides). Based on Gore & Gilet Vol. 2 §2.4.1 and Jim Kirby’s determinant expansion (2012). Frequency axis 0–500 Hz.

Model Complexity

4‑DOF
Force target: Air (1DOF) • Top (2–4DOF)

What-If Recipe

Run Solve Targets to see suggested adjustments.
The solver and visible controls adapt to the chosen order. Peaks are auto‑labeled by dominant subsystem.
Environmental
20.0 °C
0 m (0 ft)
ρ ≈ 1.205 kg/m³ • c ≈ 340.0 m/s
0.40
Air (Helmholtz) Mode
0.00550 m² (diameter 83.6 mm)
0.50 g
0.0141 m³ (14.1 L)
0.0050
Top Plate Mode
43.0 g
42700 N/m
1.5
0.0390
Back Plate Mode
94.0 g
130000 N/m
7.0
0.0400
Sides / Rim Mode
800.0 g
1400000 N/m
10.0
0.0250
Tip: the model is coupled. Peaks shift together as you change air volume, plate stiffness, or effective areas. Watch T(1,1) / A(0,1) interactions by nudging V, Ah, and Kt.

Fit My Guitar / Solve Targets

Match your measured guitar or compute What-If delta recipes using the same assistant.

Enter the peaks or structural values you care about. Use the “Solve Targets” CTA to switch into What-If mode; otherwise the assistant fits your current guitar.

Modal Targets
Plate Information
Body Information (Helmholtz + cavity)