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Full nonlinear finite element radial-ply and bias-ply tire models are developed to investigate different structured tires' transmissibility phenomena. The reaction forces of the tire axles in time domain are recorded first when the tires encounter a bump (cleat), and then the FFT algorithm is applied to examine the dynamic response information in frequency domain. The results of the radial-ply vs. bias-ply tires' transmissibility are validated against previous studies and show reasonable agreement.

A nonlinear finite element passenger car radial-ply tire model was developed to investigate a tire's three-dimensional transmissibility in the X, Y, and Z directions. The reaction forces of the tire axle in longitudinal (X axis), lateral (Y axis), and vertical (Z axis) directions were recorded when the tire encountered a cleat, and then the FFT (Fast Fourier Transform) algorithm was applied to extract tire's transient response information in the frequency domain. The result showed that this passenger car tire has clear peaks at 47-51 and 91-92 Hz longitudinal, 41-45 Hz lateral, and 80-83Hz vertical. An analytical rigid ring model was also formulated, based on the dynamic equations of the rigid ring tire model. The characteristic equations were obtained and solved for eigenvalues and eigenvectors, which represent tire's free vibration natural frequencies and mode shapes.