This edited book provides discussion and presents results related to some "hot topics," all dealing with the soil-structure interaction. The book can be of interest to both scientists involved in academic studies of the problems addressed and for practitioners engaged in high-level design. Chapter I reports the investigation of non-stationary wave propagation in continuously inhomogeneous cylindrical elements (such as pipelines). New results obtained by numerical analysis of non-stationary wave propagation are presented. The cases studied comprise simulations of the propagations of both one-dimensional and two-dimensional non-stationary waves. Waves of the first type are supposed to propagate in continuously inhomogeneous, linearly viscoelastic cylinders, whereas waves of the second type propagate in continuously inhomogeneous elastic cylinders. The authors of this chapter apply an original research method consisting of the implementation of solutions to dynamic problems in the study of elastic and linearly viscoelastic piecewise homogeneous bodies. Chapter II outlines an analytical study of the propagation of different types of waves (plane, cylindrical, spherical) as well as of the waves' interaction with an element of Vibro-isolation (specifically, a three-layer plate). The author also presents the numerical results of the study of the distribution of the vibration accelerations in soil. Chapter III presents details on the analytical modeling of a bearing device for passive seismic isolation (friction-pendulum system). The behavior of the slider is identical to a motion of a particle constrained to slide on a spherical surface. The analytical model includes equations of motion, derived using the Lagrange formalism and constitutive equations of the sliding interface. The author presents the results of the numerical simulation of the response of the bearing device to a seismic event, assuming a constant value of the friction coefficient. Chapter IV proposes a discussion on the assessment of the load-carrying capacity of a metal-resin anchor and the determination of dependencies between parameters of supporting systems that include anchors. The solution to the problems addressed in this study involves an accurate analysis of the load transfer mechanisms between different system components. The proposed strategy requires the implementation of an algorithm aimed at the reconstruction of the analytical form of a function, provided its tabular form is available. The authors also formulate a theorem that postulates the existence of such representation applicable in a more general context. The research object in Chapter V is the formulation of the boundary value problems for circular and annular three-layer plates subjected to axisymmetric loading. The considered plates consist of three layers: two thin bearing layers and one filler layer, with a perfect bond, assumed for all interfaces. The definition of the stress-strain state in the plates presumes that the Kirchhoff's hypotheses regarding the bearing layers and the Timoshenko's hypothesis (i.e., linear distribution of the tangential displacements over the thickness) concerning the filler layer hold. The performed analyses take into account the characteristics of the elastic (Winkler) foundation. The authors provide the obtained analytical solutions to the formulated boundary value problems. Results obtained by numerical analysis of the stress and the strain distributions for plates supported by hinges on the contour are also presented.