Nonlinear calculation of the berth jn the form of the angle retaining wall together with the soil and water environment with dynamic loading
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Abstract
A connected system consisting of an angular retaining wall, a foundation for equipment, soil and water environment is considered. The stress-strain state and wave processes that arise in the structure and the base from the action of dynamic loads are studied. The elastic-plastic properties of the system materials are taken into account. The theory of plastic flow with strengthening is used, which is based on the Mises maximum principle. It was assumed that the deformations of the system occur at small elongations, displacements and angles of rotation. Therefore, the dependence between the increments of deformations and displacements was determined by linear Cauchy relations. For the retaining wall and the foundation, the Geniev condition was used as a function of the load, and for the soil massif, the Coulomb-Mohr condition. To solve the nonlinear problem, a modified implicit Newmark method was used, which is absolutely stable, which allowed us to significantly increase the length of the time step compared to explicit methods and obtain more reliable results. For the numerical implementation of the proposed method, a software package developed in the Delpfi system was used. The results of the study of oscillatory processes are presented in the form of diagrams of displacements and stresses at characteristic points at a given time interval. Based on the analysis of the results obtained, it was established that the change in time of the properties of one element of the system affects the stress-strain state of another. Therefore, only their joint calculation will allow obtaining correct results. In addition, when solving dynamic problems, it is necessary to take into account the deformations and stresses obtained from static loads, since they affect the oscillatory process that occurs during dynamic loading of the system.
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