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Evaluating Key Site Performance Metrics Using Google Pagespeed Insights
(2024) Huliieva, Nataliia; Lishchyna, Nataliia; Pasternak, Viktoriya; Huliieva, Zemfira
The article focuses on evaluating the important performance indicators of a desktop website using Google's Pagespeed Insights tool. It analysis important aspects such as page load speed, content optimization, recommendations for improving performance and impact on user experience. The study is based on the example of site diagnostics https://pm.lntu.edu.ua/ and includes an overview of the influence of loading speed on SEO indicators and positions in search engines. The findings demonstrate the value of using Pagespeed Insights to achieve optimal website performance across desktop platforms and maintain a high-quality user experience.
Prediction of the Structural Properties of Powder Materials by 3D Modeling Methods
(2022) Ruban, Artem; Pasternak, Viktoriya; Huliieva, Nataliia
This article examines the main problems of modelling spherical (circular) particles. The main method of the initial process of filling lobules using the Cauchy and Reynolds problem is substantiated. An image of an object-oriented complex of free fall of a spherical particle and their many non-collision spheres is presented. Based on the obtained research results, the main parameters of the process of filling particles of heterogeneous materials. An example of visualization of the developed software product for filling material particles is given, taking into account a number of cross-sections of a cylindrical hopper in height. A histogram of the distribution of material particles from porosity over the volume of a cylindrical hopper is also constructed.
Modeling of Systems with Spherical Inhomogeneities by Using Differential Equations Based on Green’s Functions
(2025) Huliieva, Nataliia; Pasternak, Victoriia; Cagáňová, Dagmar; Zabolotnyi, Oleg; Tkachuk, Anatolii
The paper presents a study on the stress-strain state of cylindrical structures with internal material inhomogeneities and their impact on strength and stability under external loads. Particular attention is paid to investigating the influence of factors such as internal defects, material structure inhomogeneities, and the values of mechanical parameters like Young’s modulus and Poisson’s ratio. It has been established that material inhomogeneities lead to uneven stress distribution, which can cause stress concentrations and local deformations in the material, increasing the risk of crack formation and premature structural failure. The use of mathematical modeling and numerical methods made it possible to predict the behavior of such materials under various loads and provide a more accurate assessment of risk zones. This, in turn, significantly improves the design process and quality control of materials, as well as enhances the reliability of structures during their operation . The experiments conducted confirm the importance of thoroughly analyzing internal defects and the mechanical properties of the material for developing new approaches to assessing the strength and stability of structures. The research results also demonstrated that mathematical models and numerical methods can be effectively used to simulate stress distribution, helping to prevent structural damage, cracks, and potential failures under real operating conditions.

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