W artykule przedstawione są zagadnienia oddziaływania zaburzeń rozprzestrzeniających się w gruncie w tym fal parasejsmicznych (powierzchniowych) pochodzących od środków transportu. Dominującą rolę odgrywają tu fale Rayleigha. Fale te napotykając na przeszkody powierzchniowe w formie różnych defektów płaskiej powierzchni gruntu rozpraszają się na nich. W pracy przeprowadzono analizę parametrów technicznych ekranu i ich wpływ na wartość amplitud fal przenikających przez ekran.
EN
The issue of influence of disturbances propagating in the ground including para-seismic waves from means of transport (surface waves) in case of which Rayleigh waves are of predominant importance. Surface waves meeting obstacles such as defects of the flat surface of the ground disperse on them. The paper contain the analysis of the shield technical parameters and their influence on amplitudes value of waves that penetrate the shield.
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The stress and strain analysis of interference connection between outer track of cone bearing and the casing is carried out in this study. The equilibrium equations for axially symmetric state of stresses and strains in rotary solids are derived. For further analysis the simplified 2-D model is used and the outer track of cone bearing is divided into elements - each one of constant diameter. The Lame's equation is used for each segment in order to conduct the stress and strain analysis. The obtained results are compared with those obtained with the use of the finite element method (Ansys system) applied for the 3-D model. In both cases the calculations were executed for maximum and minimum interference calculated from assumed dimensional deviations of the diameters of the bearing track and the casing.
The apparatus of holomorphic functions of many complex variables is applied to solving spatial boundary value problems of the linear theory of elasticity. The construction of the solution of the boundary value problem is based on the representation of the displacement vector in the form of J. Dougall through spatial harmonic potentials. The transition from spatial harmonic potentials to holomorphic functions of two complex variables z1, z2 was carried out and a boundary value problem for the above functions was formulated. By presenting these holomorphic functions in the form of homogeneous polynomials of order k relative to complex variables z1 , z2 , solutions were constructed by the method of development of the complex tensor of stresses by basic states. The application of this technique is illustrated in the examples of marginal problems, the real components of solutions that correspond to the solutions of Grashof’s problem for an elastic beam. Imaginary components of exact analytical solutions are obtained and corresponding structures of external load vectors for elastic beams of complex cross-section are constructed.
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