The distinctive paper is devoted to multiscale modelling of functions with the use of Haar discrete wavelets. Numerical implementation is realized with the use of “Fortran” programming language (“Intel Visual Fortran” software). Particularly several sample functions are under consideration. Three basic parts of corresponding algorithm include full wave reconstruction (implementing the entire Hilbert space of the wave); extraction of wave components constructed solely by wavelet functions; isolation and visualization of the final wavelet layer. Modeling wave behavior from multiple perspectives enables the extraction of highly valuable information, which can reveal defects in mechanical or structural systems. The Haar discrete wavelet, due to its basis and step-like wavelet functions, is particularly suitable for numerical implementation (programming, computation), featuring straightforward algorithms.

The main regional features of subsidence clay soils common in Mongolia are high porosity, low humidity and underfilling within the seasonal deep freezing due to their heaving and sublimation loosening. Using such soils as foundations for buildings and structures under conditions of increasing humidity is difficult at the design and construction stages, as well as during operation. This paper examines the results of analytical calculations to identify the dependence of a decrease in the physical and mechanical properties of subsidence soils on an increase in humidity and constructs the corresponding dependence graphs. Numerical modeling of the quantitative and qualitative assessment of the subsidence properties of sandy loam and loamy soils using the method of indirect signs and the probability of the formation of a subsidence process during soaking is also carried out.

The structural performance of glass panes under blast-induced pressures is commonly analyzed using single-degree-of-freedom (SDOF) models, which assume that the response is governed by the fundamental mode of vibration. However, in close-range explosion scenarios where the load duration is significantly shorter than the natural period of the glass pane, higher-mode effects can become significant. To enhance the blast resistance of glass panels, it is important to understand their behavior under a wide range of explosion scenarios, including close-range blasts. Unlike previous studies that have primarily focused on long-distance explosions with relatively long load durations, this study investigates the dynamic response of glass panes under short-duration blast loads. The investigation is conducted using calibrated finite element (FE) simulations on glass panes with varying dimensions and thicknesses, subjected to different blast intensities. Key response parameters examined include deflection shapes, bending stresses, and shear stresses. Results indicate that while the SDOF model can reasonably predict the maximum deflection of glass panes, it significantly underestimates peak bending and shear stresses in short-duration blast scenarios. A power-law relationship is proposed to quantify the discrepancy between SDOF and FE stress predictions as a function of the load duration-to-natural period ratio. These findings reveal the limitations of conventional SDOF models and highlight the need to account for higher-mode effects in the design of glazing systems exposed to close-in explosions.

Particle transport by a fluid flow occurs in many applied construction problems, including pumping mortar into porous soil, creating watertight diaphragm walls, and constructing dams and underwater structures. A model of deep bed filtration of suspensions and colloids in a homogeneous porous medium with a finite number of vacancies for retained particles is considered. A suspension of constant concentration is injected into the inlet of a porous medium containing clean water. If the sediment growth rate remains positive as the sediment concentration approaches the upper limiting value, the filtration process continues for a finite time. In this case, the filtration function that specifies the sediment growth rate in the mathematical model is not blocking. At each point of the porous medium, sedimentation begins from the moment the concentration front passes and ends after a finite period of time depending on the distance to the porous medium inlet. A global exact solution to the problem is constructed in the filtration domain, which consists of two zones. In the zone bordering the concentration front, the solution has a standard form, and in the zone adjacent to the upper limiting values of the concentrations of suspended and retained particles, it has the form of a traveling wave.

Earthquakes are often disasters that cause significant damage to infrastructure, buildings, and even fatalities. As a result, many nations globally have established earthquake-resistant design standards to protect infrastructure, buildings, and human lives from the impacts of seismic events. The objective of this research is to evaluate the impact of implementing earthquake-resistant construction standards on the structural integrity and performance of buildings throughout Indonesia. The research was undertaken by comparing buildings designed based on SNI 1726:2019, Eurocode 8:2004, and IS 1893:2016. The method employed involves comparing both elastic and inelastic design results using pushover analysis for each standard to assess seismic performance using ETABS software as an analytical tool. Findings from the analysis reveal that structures designed following the SNI 1726:2019 required the smallest area of flexural reinforcement, followed by an increased requirement in Eurocode 8:2004, and the highest in IS 1893:2016. Furthermore, the nonlinear pushover analysis revealed that the performance point of SNI 1726:2019 was 8.38% higher than Eurocode 8:2004 and 24.03% higher than IS 1893:2016 in the X direction, and 12.15% higher than Eurocode 8:2004 and 27.76% higher than IS 1893:2016 in the Y direction.

The paper considers an important and topical aspect of improving the mechanical safety of buildings and structures with metal frames under special impacts. On the basis of experimental tests and numerical verification, the behavior of a steel frame under emergency action is studied. The rapid removal of the central frame from the design scheme was considered as such an emergency action. In order to increase the resistance of the frame to progressive failure, safety elements in the form of tie-rods, which redistribute additional loads from the emergency dynamic loading, were included in its scheme. Two types of frames were considered: with hinged beam-column connections and with similar rigid units. As a result of the experiments, the character of change of longitudinal deformations with time under dynamic loading was revealed, characteristics of vibrational processes for frames with different designs of nodes were determined. The role of tie rods in the stability of frames against progressive failure is determined. The character of displacement variation with time was determined. Satisfactory agreement with experimental data of the approach to modelling the accident situation is achieved. It is established that the frame with hinged nodes has a lower load-bearing capacity at the node connections in comparison with rigid nodes, but it has a predictable failure mechanism and a shorter duration of the transient dynamic process of the accident impact.

This study discusses specific features of analyzing shallow shells using a modified sequential load method and a collocation method. This combination shows a rapid rate of convergence when the golden section principle is used to select the collocation node system.

Accuracy of results of numerical modeling of the structure stress-strain state (SSS) depends on adequacy of design scheme. At elaboration of design scheme of an embankment dam the important aspect is selection of force loads from water. Water medium may create several types of force loads on the dam: hydrostatic pressure, buoyancy and seepage volumetrically distributed forces, as well as arise internal pore pressure in soil. Selection of design scheme of the earth core rockfill dam depends on permeability of the clayey soil of the seepage-control core and the speed of the seepage regime formation. Analysis of the field observations over the state of constructed dams showed that this process may occur in different ways. In some dams after the reservoir impoundment the seepage regime is installed relatively quickly, in other dams there takes place a durable process of pore pressure dissipation and soil consolidation. For estimation of the effect of the form and method of loads application, the analysis of the stress-strain state of high earth core rockfill dam for three design schemes was carried out. These are cases with conditionally impermeable, well permeable and scarcely permeable core soil. In the first case the core is subject to hydrostatic pressure, in the second to the force from the steady regime of the seepage flow, in the third, inequality of pore pressure and seepage forces takes place. For analysis there was used the software package MIDAS, which permits conducting combined analysis of SSS and seepage regime, solving tasks related to consolidation of soils. Coulomb-Mohr model was used for modeling of soil. Analysis showed that the dam SSS in three design schemes varies greatly. The dam is subject to the highest pressures and deformations in the case of the impermeable core at the action of hydrostatic pressure. The dam SSS at well permeable core, where seepage flow quickly becomes steady, is more favorable. The case of scarcely permeable soil is unfavorable from the point of view of core crack resistance. Due to core pressure, buoyant and seepage forces the stresses in soil skeleton are small. At that, horizontal displacements of the dam by value are closer to displacements in case of water impervious soil. This frequent case may be the most dangerous for the dam safety.

Consideration of soil deformation characteristics is a crucial factor in the design and construction of infrastructure facilities, as they can have a significant impact on the stability and serviceability of structures. Changes in the soil deformation modulus with depth reflect changes in soil density, layering, and stress levels. Accurate assessment of the soil deformation variability is important to ensure the safety and reliability of building foundations. This paper focuses on testing the statistical hypothesis about the type of the soil deformation modulus probability distribution when analyzing cone penetration testing (CPT) data. The soil deformation modulus probability distribution is assumed to be normal and this fact is not checked before modelling. In this paper it is shown that Weibull, Lognormal and Gamma distributions are more suitable than normal for CPT data taken from an open internet source.

The problem of using the boundary model of geometric solids representation in BIM is formulated. A new concept of solid geometric modeling is presented, which allows to define geometric solids as a selected part of space, according to which geometric solids are represented by an organized set of points by analogy with other geometric objects. The mathematical apparatus “Point Calculus” is used for analytical description of geometric solids. Examples of modeling geometric solids in point calculus are given. The advantages of this approach are the possibility of representation of geometric information in BIM in compact vector form and realization of parallel calculations at the level of mathematical apparatus. The prospect of further research is the use of the proposed concept for the representation of various elements of building structures with the subsequent optimization of the representation of geometric objects in the IFC format. This will significantly reduce the volume required for the transfer of geometric information between the systems of information modeling and computer-aided design, increase their performance and radically solve the problem of interoperability of existing BIM software packages.