The article aims to study and compare the efficiency and effectiveness of podcasts and mobile applications in the study of the German language by students of the faculty of linguistics. The research involved several key stages: (1) studying scientific publications that demonstrate the experience of using the studied methods in teaching a foreign language in university; (2) selecting a sample from the 2- and the 3-year students of the faculty of linguistics, Philology; (3) the diagnostic stage that includes testing to identify the level of knowledge of students and dividing participants into groups according to the test results; (4) the forming stage that presupposes studying with the use of podcasts and a mobile application; and (5) the final stage with re-testing followed by quantitative and qualitative analysis of the research results. It has been discovered that podcasts and the mobile application have a higher efficiency of learning a foreign language, compared to the method of traditional home assignment. At the same time, podcasts are more effective in developing students’ communicative competence, enriching vocabulary and improving the knowledge of orthoepic standards of the German language, while the mobile application showed the best results in developing students’ grammar, spelling and punctuation skills.

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A three-layer plate with thick hard outer layers and a thin soft inner layer was studied. A model is considered on the example of an anti-sandwich panel to describe the mechanical behavior of a plate on the example of a solar panel. A review of the scientific literature was conducted, in which models of both analytical and numerical methods for calculating three-layer plates are displayed. The scientific work uses the method of finite element analysis using a spatial shell element, as well as the theory of single- and multi-layer plates. These elements combine the topology of volumetric elements and the kinematic and structural equations of a classical shell element. Shell elements based on continuum mechanics were used for numerical simulation. The study was carried out under static load under different conditions, and also the self-oscillations of the anti-sandwich were analyzed using the theories of Kirchhoff and Reisner-Mindlin. As part of the scientific work, a study of the mechanical model of a thin solar panel was carried out using finite element analysis taking into account different temperature conditions and comparing the results with existing studies

Solar panels are considered as three-layer plates with a thick hard outer layer and a thin soft inner layer. To describe the mechanical behavior of the plates on the example of a solar panel, a model for anti-sandwich plates was used. The literature review includes scientific articles describing models for analytical and numerical calculations of three-layer plates. During the scientific study of the mechanical behavior of the solar plate under the influence of external factors, the method of finite element analysis using the element of the spatial shell was used. This type of elements is used for theories of single and multilayer plates. Shell elements were used for calculations and modeling of the natural forms of vibrations of three-layer plates. The paper presents scientific studies under static loading under different exposure conditions, as well as an analysis of self-oscillations of a three-layer plate using the Kirchhoff and Mindlin theories as an example. As part of the scientific work, a study of the mechanical model of a thin solar panel was carried out using finite element analysis in the ABAQUS program, taking into account different temperature conditions. The article provides analytical calculations of the application of various theories to determine the natural forms of plate vibrations.

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