On the basis of the Brinkman model (BM), the main objective of this paper is to predict theoretically the effects of viscous shear stresses on the dynamical behaviour of pure squeeze films in short porous journal bearings under cyclic loads. The results obtained from the BM, as the value of permeability parameter Phi approaches zero, show good agreement with that of a solid bearing and, hence, provide support to the present prediction. Comparing with that derived by the Darcy model (DM), the influence of viscous shear stresses of the BM on the squeeze-film performance is slight for the thin-walled bearings. But for the thick-walled bearings, the effects of viscous shear stresses provide a significant increase in the load-carrying capacity. Under dynamic loading, the viscous shear effects reduce the eccentricity ratio and, thus, provide a longer time to prevent the journal-bearing contact. Hence, the viscous shear effects of the BM improve the squeeze-film characteristics for a system with thick-walled bearings.