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In this paper, the behavior of free vibrations and buckling of the thick cylindrical sandwich panel with a flexible core and simply supported boundary conditions using a new improved ‎high-order sandwich panel theory were investigated. An axial compressive load is applied on the edges of the top and bottom face sheets simultaneously. The formulation used the third-order polynomial description for the displacement fields of thick composite face sheets and for the displacement fields in the core layer based on the displacement field of Frostig's second model. In this model, there are twenty seven degree of freedom. The transverse normal stress in the face sheets and the in-plane stresses in the core were considered .For calculated exact solution, according to thick face sheets, all of the stress components were engaged. The equations of motion and boundary conditions were derived via the Hamilton principle. Moreover, the effect of some important parameters such as those of thickness ratio of the core to panel, the length to radius ratio of the core, cumferential wave number and composite lay-up sequences on free vibration response and buckling of the panel were investigated. In order to validate the results, the obtained results were compared with those obtained using finite element ABAQUS software. The advantage of this paper is simplicity, considering face sheets as thick, exact solution and the considering of important terms such as (1+z_c/R_c ) in equations.

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Detecting and Preventing wheels slipping is at the core of all researches related to railway vehicle dynamics. In this paper, three fast non-elliptic contact models are evaluated and compared to each other in terms of contact patch, pressure and traction distributions as well as the creep forces. Among them Johnson and Kalker method was really useful to the similar problems while the common assumption is elastic half-space that many errors could be made especially in gauge-corner contact. Based on the conclusions drawn from this evaluation, two new methods is proposed which results in more accurate contact patch and pressure distribution estimation while maintaining the same computational efficiency. The Beam and Bristle model are proposed for tire engineering in automotive industries but they can predict slip in wheel-rail contact too. New methods are typically used for tire engineering. Tire engineering usually is dealing with higher values of slippage than there is rail engineering. So that they can be applied into the saturation zone. At last a FEM analysis will be done for evaluating the methods proposed. Also in the special case there is similar experimental projects done by other scientists. It should be noted that good agreement between FEM analysis results, tire engineering models, experimental results has been found for several contact applications including S1002 wheel profile over UIC60 rail profile for four different initial braking speed 30, 60, 100, 140 km/h have been compared with experimental results.

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