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. 2022 Mar 13;14(6):1148. doi: 10.3390/polym14061148
B sample width
fn fundamental frequency of the nth flexural vibration mode
fT fundamental frequency of the torsional vibration mode
H sample thickness
J (B2 + H2)/12
k sum of the tanh 2n1πBGxz/Gxy12/2H/2n15  value from n → 1 to ∞
K BH3 1192HGxz/Gxy12k/π5B /3
mn and F(mn) coefficients corresponding to the nth flexural vibration mode
Ex Young’s modulus in the x-direction
Gxy in-plane shear modulus in the xy-plane
Gxz out-of-plane shear modulus in the xz-plane
L sample length
s Timoshenko’s shear factor
X and Y parameters required for calculating the Young’s modulus and shear modulus by the TGH method from the data of flexural vibration tests
a and -b slope and intercept obtained by the linear regression of 12rJLfT2/H4–B/H relation
r sample density
AFPB asymmetric four-point bending
ANOVA analysis of variance
EPS expanded polystyrene
FE finite element
FFT fast Fourier transform
FV flexural vibration
L, T, and Z length, width, and thickness directions of the panel, respectively
RC resonant column
TGH Timoshenko–Goens–Hearmon
TVSP torsional vibration of square plate
XPS extruded polystyrene