How the Calculation Works

Step 1: Calculate Density (ρ): The density of the panel is calculated using the mass and dimensions (height, length, width) of the panel:

\[ \rho = \frac{m}{h \cdot l \cdot w} \]

Step 2: Calculate Young's Moduli (EL, EC): These values represent the stiffness of the material along and across the grain. They are calculated using the density, frequency, and dimensions:

\[ E = 0.94146 \cdot \frac{\rho \cdot l^4 \cdot f^2}{h^2} \]

Step 3: Calculate Shear Modulus (GLC): This represents the rigidity of the material under twisting forces, calculated as:

\[ G = 1.21585 \cdot \frac{\rho \cdot l^2 \cdot w^2 \cdot f^2}{h^2} \]

Step 4: Calculate Target Thickness (h): Using the target frequency, length, and width of the box, the thickness is derived from:

\[ h = \frac{0.95977 \cdot f \cdot a^2 \cdot \sqrt{\rho}}{\sqrt{EL + \left(\frac{a}{b}\right)^4 \cdot EC + \left(\frac{a}{b}\right)^2 \cdot (0.02857 \cdot EL + 1.12 \cdot GLC)}} \]