Gore–Gilet Acoustic Guitar Model — 1/2/3/4 DOF + Peak Labels

Model Complexity

Order

4‑DOF

Show peak labels Force target: Air (1DOF) • Top (2–4DOF)

Compare Changes

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

Ambient Air Temp (°C / °F)

20.0 °C

Altitude (m)

0 m (0 ft)

ρ ≈ 1.205 kg/m³ • c ≈ 340.0 m/s

Driving Force F (N)

0.40

Air (Helmholtz) Mode

Soundhole Area A_h (m²)

0.00550 m² (diameter 83.6 mm)

Moving Air Mass m_a (g)

0.50 g

Cavity Volume V (m³)

0.0141 m³ (14.1 L)

Air Damping R_a (N·s/m)

0.0050

Top Plate Mode

Top Plate Mass m_t (g)

43.0 g

Top Stiffness K_t (N/m)

42700 N/m

Top Damping R_t (N·s/m)

1.5

Radiating Area A_t (m²)

0.0390

Back Plate Mode

Back Plate Mass m_b (g)

94.0 g

Back Stiffness K_b (N/m)

130000 N/m

Back Damping R_b (N·s/m)

7.0

Back Area A_b (m²)

0.0400

Sides / Rim Mode

Sides Mass m_s (g)

800.0 g

Sides Stiffness K_s (N/m)

1400000 N/m

Sides Damping R_s (N·s/m)

10.0

Sides Area A_s (m²)

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, A_h, and K_t.

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

T(1,1)₁ (Hz) T(1,1)₂ (Hz) T(1,1)₃ (Hz)

Plate Information

Top Mass m_t (g) Top Stiffness K_t (N/m) Back Mass m_b (g) Back Stiffness K_b (N/m)

Body Information (Helmholtz + cavity)

Cavity Volume V (m³) Soundhole Diameter (mm)

When solving recipes, only enlarge the soundhole and increase plate masses (no thinning allowed).