Flat Part Research Articles

Analysis of projection welding in relation to the non-parallelism of electrodes

The article contains the analysis of projection welding in relation to the non-parallel location (non-parallelism) of electrodes. For a thin-walled flat element, e.g., sheet metal with two embossed projections, calculations were conducted for different angles between the upper electrode and the lower electrode. The calculation involved the use of the SORPAS 3D software. The analysis included the distribution of temperature, power density, electrode displacement, the volume of molten metal in the weld nugget, nugget diameters, and energy supplied to the weld. The article presents the comparison of results obtained for various angles between the electrodes of the welding machine. The results of numerical calculations were verified experimentally through technological welding tests and destructive tests (peeling/metallographic). The convergence of the experimental and numerical results was satisfactory. The tests involved a typical element used in the automotive industry, i.e., a nut with two embossed projections in the flat part. The article represents quite an innovative new approach to multiple-projection welding from a numerical calculation point of view. Such an approach allows the researcher to identify the phenomena taking place in the process. The article also presents a new approach to the analysis of multi-projection welding as regards the non-parallelism of electrodes. The results enabled the determination of phenomena taking place in the multi-projection welding process as well as the boundary conditions in relation to which the process became improper (unstable).

SPECIFICITY OF FOUNDATION OF SOLAR PANELS

Considering that the expansion of the construction of solar power plants in the world, Bosnia and Herzegovina tends to follow the global trend in the construction of solar power plants, that is, to provide as much electricity as possible from renewable sources. One of the solar power plants in the Tuzla Canton was built by the company Deling doo at the location of Bosanska poljana. The terrain represents an alluvial plain, a flat part of the relief that was created by the work and accumulation action of the Jala river. The morphological conditions of the locality in question are relatively favorable due to the plain character of the vast alluvial plain, the average altitude of about 190.00 m above sea level. The foundation of the solar panels requires a bearing capacity for uprooting from the wind, that is, the load on the ground can be variable in the vertical direction, in extreme situations the uprooting force from the wind is significantly greater than the gravitational force of the solar panels. Considering that it is a terrain where the effect of the Jala river is very pronounced, it was necessary to propose an adequate way of foundation of the solar panels in order to meet the stated conditions. The paper shows the way in which the depth of the panel foundation was determined, that is, the experimental determination of the depth of the load-bearing soil.

Improving the joint strength of thermoplastic composites joined by press joining using laser-based surface treatment

Fibre-reinforced thermoplastic composites (TPC) provide an automated and cost-effective solution for their use in lightweight structures in series production. The combination of different material configurations allows the design of highly stress tolerant components. Previous studies demonstrated that the combination of TPC sheets, TPC hollow profiles and injection moulding compounds is even suitable for crash-relevant automotive parts. All three components are combined during the injection moulding process. To prevent collapse, the part must remain in a consolidated state and cannot be preheated. However, this results in poor adhesion between the hollow profile, the bulk material, and the TPC sheet. Previous studies have shown that the bonding strength between the hollow profile and the injection moulding compound can be increased by surface pre-treatment using laser structuring and plasma technology. In this work, laser structuring is employed to enhance the bonding strength between the hollow profile and the TPC sheet. Microscopy analysis is used to investigate the resulting surface morphology. Subsequently, single-lap-shear (SLS) specimens are produced by pressing the TPC sheets onto the flat part. The resulting bonding strengths are then evaluated by tensile shear tests. The study analyses the impact of various pre-treatment parameters on the bonding strength. Furthermore, it investigates the effect of sheet temperature on the bonding strength, including specimens without pre-treatment. Finally, the results of the surface treatment of hollow composite profiles are discussed.

Local thermal warpage deformation of polypropylene injection molded flat part and neural network prediction model

Local thermal warpage deformation of polypropylene injection molded flat part and neural network prediction model

An obstacle problem for the p-elastic energy

In this paper we consider an obstacle problem for a generalization of the p-elastic energy among graphical curves with fixed ends. Taking into account that the Euler–Lagrange equation has a degeneracy, we address the question whether solutions have a flat part, i.e. an open interval where the curvature vanishes. We also investigate which is the main cause of the loss of regularity, the obstacle or the degeneracy. Moreover, we give several conditions on the obstacle that assure existence and nonexistence of solutions. The analysis can be refined in the special case of the p-elastica functional, where we obtain sharp existence results and uniqueness for symmetric minimizers.

Species diversity and structure of the fish community in different types water bodies of the Ergaki natural park (Western Sayan)

The Yenisei is one of the largest rivers on our planet. Flowing from south to north, it crosses all the natural zones of Siberia. The Yenisei basin covers the mountains and intermountain hollows of the Altai-Sayan mountainous country, the plateaus of Central and the lowlands of Western Siberia. The ichthyofauna of the flat part of the Yenisei basin is relatively well studied, while the data on the fish of the water bodies of the Western Sayan which are part of the Yenisei basin is limited in the available literature, and includes information only about the fish of some lakes. In this work, we studied of the ichthyofauna and the fish community of different types of water bodies in a specially protected natural area in the central part of the Western Sayan, in the Ergaki Natural Park — the Nizhnyaya Buiba and Bolshaya Oya rivers, and information about the ichthyofauna of Lake Oyskoye was clarified. In the studied water bodies, three species of fish (typical for rivers and lakes of the mountains of southern Siberia) were identified: Arctic grayling Thymallus arcticus (Pallas, 1776), Siberian loach Barbatula toni (Dybowski, 1869) and Eurasian minnow Phoxinus phoxinus (Linnaeus, 1758). Previously there was no information about the presence of Siberian loach in water bodies on the territory of the Ergaki Natural Park in the available scientific literature. The abundance and biomass of fish species varies significantly in different water bodies. Arctic grayling is common or dominant in rivers, Eurasian minnow is super dominant in the Nizhnyaya Buiba river and in the Oyskoe lake. In the Bolshaya Oya river, the superdominant species is the Siberian loach. Eurasian minnow in the Oyskoe lake is large of size.

Controlling Spatial Morphology of Microparticle Deposits via Thermocapillary Flows: Effect of Boundary Geometry.

The production of particle deposits with a desired distribution geometry has significant potential for materials science, printing, and coating technologies. Most methods for achieving well-defined assemblies rely on the spontaneous evaporation of colloidal solutions on substrates with predetermined properties, or on precise control of particle arrangement by external stimuli. Here, we present a combined method that enables the production of centimeter-scale microparticle deposits with a desired geometric shape. The method is based on controlling the massive transport of microparticles by thermocapillary flow in a layer of volatile liquid in a cell with borders of the desired geometry. Capillary forces cause the liquid to be distributed in the cell, forming corner wetting menisci and the flat layer in the central area. The formation of particle deposits occurs in two stages, determined by the flow regime. At the initial stage, the axisymmetric thermocapillary flow occurs in the flat part of the layer, resulting in the circular shape of the particle deposit. During the transition to the second stage of assembling thermocapillary flow is localized in the corner wetting menisci that results in reshaping the current particle deposit to match the geometry of the cell borders. Here, we demonstrated the creation of circular, square, and triangular shapes of the patterns of polystyrene microparticles using a point heater located at the geometric center of the cell. The proposed method is reliable, easy to implement, and potentially capable of producing a wide variety of deposit geometries, making it an attractive technique for patterning and modifying surface properties with particles of any type.

ЕКСПЕРИМЕНТАЛЬНЕ ДОСЛІДЖЕННЯ ПРОЦЕСУ КОНТРОЛЮ ПОЛОЖЕННЯ ПЛОСКИХ ДЕТАЛЕЙ З АСИМЕТРІЄЮ ПОВЕРХОНЬ СТРУМЕНЯМИ ПОВІТРЯ

The article considers a study of the method of controlling the position of flat shoe parts that have asymmetry of surface roughness, using air jets. Many natural and artificial materials used in shoe production, in addition to other differences, have different irregularities (different relief), as well as different hairiness on the front and back surfaces, which can be natural, created artificially for decorative or other special purposes during processing. The difference lies in the size of the irregularities and pile, their location on the surfaces, as well as in their elastic properties. This makes it possible to control the position of the flat parts of the shoe according to the properties of the surfaces using methods based on the use of these features. Therefore, the task of creating devices for such control is urgent. The paper considers the principle of operation of devices for controlling the position and orientation of flat parts with asymmetry of surfaces using pneumatics. The article describes the results of the study of the method of control by the properties of surfaces using compressed air, for which the authors received a patent for the invention. To perform experimental research, an experimental stand was designed and manufactured, and a scheme was developed to determine the force of moving the part to the control position. Determination of the force of movement of the part to the control position was carried out by the method of electrotensometry. Experiments were carried out with parts made of different, common shoe materials that have a difference in the irregularities and hairiness of opposite surfaces. When planning the experiments, the following factors were used as factors influencing the force of moving the part to the control position: the angle of inclination of the nozzles and the number of nozzles in each chamber. Key words: force of movement, compressed air, flat parts, surface irregularities.

Charge density wave ordering in NdNiO2: effects of multiorbital nonlocal correlations

In this work, we investigate collective electronic fluctuations and, in particular, the possibility of the charge density wave ordering in an infinite-layer NdNiO2. We perform advanced many-body calculations for the ab-initio three-orbital model by taking into account local correlation effects, nonlocal charge and magnetic fluctuations, and the electron-phonon coupling. We find that in the considered material, electronic correlations are strongly orbital- and momentum-dependent. Notably, the charge density wave and magnetic instabilities originate from distinct orbitals. In particular, we show that the correlation effects lead to the momentum-dependent hybridization between different orbitals, resulting in the splitting and shifting of the flat part of the Ni-dz2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$${d}_{{z}^{2}}$$\\end{document} band. This strong renormalization of the electronic spectral function drives the charge density wave instability that is related to the intraband Ni-dz2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$${d}_{{z}^{2}}$$\\end{document} correlations. Instead, the magnetic instability stems from the Ni-dx2−y2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$${d}_{{x}^{2}-{y}^{2}}$$\\end{document} orbital, which remains half-filled through the redistribution of the electronic density between different bands even upon hole doping. Consequently, the strength of the magnetic fluctuations remains nearly unchanged for the considered doping levels. We argue that this renormalization is not inherent to the stoichiometric case but can be induced by hole doping.

Enhanced forming height and accuracy of thin-walled aluminum alloy by impact pneumatic forming

To enhance the plastic deformation capacity of hard-to-deform metal materials, the utilization of impact pneumatic forming technology is proposed for shaping complex thin-walled structures within milliseconds at room temperature. In this study, an efficient numerical simulation model is established and experiments were performed to investigate the forming height, limits, and accuracy of aluminum alloy components. The experimental results show a 21.4 % increase in the ultimate forming height when employing impact pneumatic forming as compared to quasi-static pneumatic forming. Moreover, as the initial gas pressure increases, part forming height experiences an increase but the gas compression rate experiences a decline. The simulation results reveal a maximum deformation velocity of 43.19 m/s and a limited strain rate exceeding 134 s−1, affirming the connection between increased forming height and high strain rate. Furthermore, the actual contours of parts under different gas pressures align with the simulation results, validating the reliability of the simulation. It is shown that a high gas pressure of more than 20 MPa applied for a long time can improve the forming accuracy of flat bottom and wave parts. Microstructural analysis shows that dislocations in the specimens subjected to IPF conditions are better distributed, and the dimples at the fracture sites are more pronounced. This further substantiates that the IPF process improves the plastic deformation capacity of hard-to-deform materials.

Microstructure evolution and strengthening mechanism of pure copper sheet induced by laser shock forming

laser shock forming (LSF) is a high strain rate forming process, which can significantly improve the formability of materials. Nevertheless, there is a lack of research on the microstructure evolution and improving mechanical properties of parts deformed by LSF. In this paper, pure copper sheet are formed into flat bottom parts under one- and two-shot LSF. The deformation topography, surface morphology and thickness distribution of the deformed parts are tested. The surface micro morphology of the mould can be additionally printed in the formed parts, and the sheet forming accuracy improved continuously and lower thickness thinning with the increase of the shock number. Transmission electron microscopy (TEM) showed that the microstructure on the surface of the formed specimens was composed of nanocrystalline arrays elongated in the direction of the transverse flow of the workpiece material. The dislocation density decreased and the twinned structures gradually disappeared with an increasing depth from the treated surface. More laser shocking can refine the metal material grain and improve material mechanical property of the formed part further. Eventually, the underlying improvement mechanism of mechanical properties induced by LSF-induced microstructure evolution on pure copper was systematically revealed.

Spatial and seasonal groundwater quality assessment for drinking suitability using index and machine learning approach

Spatial and seasonal evaluation and monitoring of groundwater (GW) quality is essential for the sustainable management of this priceless resource and the provision of safe drinking water. Nevertheless, GW quality appraisal was not given due attention in the current study area (flat terrain part of the Tana sub-basin). This study sought to assess the seasonal and regional physicochemical GW quality parameters for drinking appropriateness using the drinking water quality index (DWQI) and support vector machine (SVM). The main cations in both the dry and wet study seasons were, in decreasing order, Na+, Ca2+, Mg2+, K+, and Fe2+, according to the results. Conversely, the main anions were HCO3−, CO32−, Cl− or NO3−, SO42− and PO43−, ordered from higher to lower. During the two research seasons, Ca–HCO3 and Na–HCO3 were the predominant water types based on Piper diagram results. Reverse ion exchange and evaporation were the principal hydrogeochemical processes that control the hydrogeochemistry identified by Durov and Gibbs diagrams, respectively. Excellent GW quality class for drinking was demonstrated by the majority of geographical and seasonal DWQI readings over the two seasons. Nevertheless, during the rainy season, there was a noticeable decline in the GW quality condition around the northern shores of Lake Tana. Therefore, it is advised to implement comprehensive GW quality protection measures and improve system management to mitigate pollution to reduce health hazards in the examined region.

Федеральные особо охраняемые природные территории Алтайского края: современное состояние и перспективы развития

Одна из важнейших глобальных проблем современности — сохранение природной среды. Гарантией эффективного сохранения природно-территориальных комплексов региона является создание сети особо охраняемых природных территорий (ООПТ), которая обладает репрезентативностью по отношению к ландшафтному и биологическому разнообразию. Также известно, что более строгий режим охраны, который характерен для заповедников и национальных парков, способствует успешной реализации задач охраны природы. В статье рассмотрено современное состояние ООПТ федерального значения Алтайского края — Государственного природного заповедника «Тигирекский» и Национального парка «Салаир», а также перспективы создания проектируемого Национального парка «Горная Колывань». Показано, что действующие и проектируемая федеральные ООПТ в крае располагаются только лишь в его горной части, а природные комплексы равнинной части края, которые также обладают большой природоохранной ценностью, охраняются лишь режимами заказников и памятников природы регионального значения. Площадь федеральных ООПТ за последнее время в крае увеличена с 0,25 до 1,5 % от площади региона, что является одним из самых низких показателей по регионам Сибирского Федерального округа. Создание Национального парка «Горная Колывань» играет большую роль в сохранении природного разнообразияи историко-культурного наследия Северо-Западного Алтая, позволяет объединить разрозненные региональные ООПТ в единое целое на организационном уровне. В случае создания данной ООПТ и придания охранной зоне заповедника федерального статуса доля федеральных охраняемых территорий возрастет до 2,5 % от площади края.

Experimental and Numerical Study on the Effect of Three-Hole Simultaneous Blasting Technology on Open-Pit Mine Bench Blasting

Blasting technology is widely applied in various engineering applications due to its cost-effectiveness and high efficiency, such as in mining, transport infrastructure construction, and building demolition. However, the occurrence of cracking in the rear row has always been a major problem that disrupts mining bench blasting. To address this issue, a three-hole simultaneous blasting technology is proposed in this study. Both numerical simulations and onsite blasting experimental testing were conducted. To aid this endeavor, the three-hole simultaneous blasting and the hole-by-hole blasting methods were adopted to comparatively analyze the severity of the damage caused to the original rock and the effect of rock fragmentation in the rear row. The obtained results highlighted that the outcome of the blast produced by the three-hole simultaneous blasting method is satisfactory, with fewer flying stones and concentrated blasting piles required. Additionally, the original rock in the rear row showed no obvious sign of tensile damage and had uniform fragmentation. It was also found that a block size of less than 60 cm accounts for 100%, while a block size of less than 50 cm accounts for 98.7% of the whole blocks, with no large blocks reported. Moreover, a penetrating horizontal crack occurred in the direction of the connection of the blast hole center when the three-hole simultaneous blasting method was adopted. This resulted in a smooth and flat rear part of the rocks at the interface. Compared to the hole-by-hole blasting method, the three-hole simultaneous blasting method improved the effective stress and displacement at each measurement point. At the measurement point directly at the front of the borehole, the maximum effective stress attained 67.9 GPa, and the maximum displacement reported was 31.9 cm. Overall, it was shown that the three-hole simultaneous blasting technology is applicable in similar applications of mine bench blasting, which is conducive to addressing the rear row original rock strain for onsite bench blasting.

Changes in conditions of interaction of ground, river and swamp water during swamping of the West Siberian plain in the Holocene

Relevance. The need to understand and long-term forecast the conditions of interaction between groundwater, river and swamp waters in the Ob River basin. Aim. To identify patterns of changes in the conditions of interaction of groundwater, river and swamp waters during swamping of the flat part of the Ob River basin in the Holocene. Methods. Mathematical modeling methods, statistical methods, geographical-hydrological method. Results and conclusions. The author has carried out an analysis of materials from long-term hydrogeological and hydrological observations in the wetlands of the Ob basin and studied the hydrodynamic and geochemical conditions for interaction of groundwater, river and swamp waters. It is shown that the emergence and evolution of swamp ecosystems in the territory under consideration is a complex of erosion-accumulation processes, the development of which until the modern period took place in three stages: 1) from the beginning of intense degradation of glaciation to 4...6 thousand years ago is the formation of a primary hydrographic network approximately modern appearance, distribution of peat bogs; the groundwater regime is close to the groundwater regime of the permafrost zone in the north of modern Western Siberia; 2) from 4...6 thousand years ago to 1.5...3 thousand years ago is large-scale distribution of lowland swamps and degradation of part of the primary river network; groundwater levels in river watersheds are generally lower than at present, but the amplitude of their fluctuations is high; a significant part of the watersheds are flooded during high water and floods, and underflooded during low water periods; 3) from 1.5...3 thousand years ago is degradation of a significant part of the primary river network, wide distribution of raised swamps, formation of a secondary hydrographic network in the swamps; at watersheds, groundwater levels rise, but the amplitude of their fluctuations decreases, and water exchange with swamps is significantly reduced; in the valleys of medium and large rivers, water exchange between surface and groundwater is most intense, which causes the flow of significant amounts of organic substances and products of their transformation into river and groundwater from swamps. Scenarios of possible changes in the conditions of interaction between surface and groundwater were assessed.

Dynamic Numerical Simulation of Curved Surface Coating Trajectory Based on STL Slicing Algorithm

The thickness of the coating on the surface of a workpiece is an important factor in determining the quality of spraying. However, it is challenging to estimate the distribution of film thickness accurately before the actual spraying process. This lack of estimation hinders the optimization of spraying process parameters and trajectory. To overcome this, a numerical simulation of surface spray coating thickness was conducted to provide guidance for the actual coating process. The research consists of three main parts. Firstly, the spray trajectory of the spray gun is determined using the proposed Stereo Lithography (STL) model slicing algorithm. Secondly, a two-phase flow spray model and collision adhesion model are established to construct the spray film model. The surface mesh is determined, and the spraying process parameters are set. Finally, numerical simulation is conducted to analyze the dynamic spraying trajectory and the distribution of coating thickness. The results show that the coating thickness distribution on an arc surface is thicker in the middle and thinner on the edges. The distribution is symmetric with respect to both the transverse and longitudinal directions of the arc surface. The coating thickness distribution at both ends is not as uniform as in the middle section. The concave part of the free surface has the largest coating thickness, while the coating thickness distribution on the convex part is not as uniform as on the relatively flat part. This method of simulating the coating thickness distribution on complex surfaces provides a solid foundation for further optimization of spraying process parameters and trajectory, ultimately improving the qualification rate of workpiece spraying processing.

Near-bipartite Leonard pairs

Let $\mathbb{F}$ denote a field, and let $V$ denote a vector space over $\mathbb{F}$ with finite positive dimension. A Leonard pair on $V$ is an ordered pair of diagonalizable $\mathbb{F}$-linear maps $A: V \to V$ and $A^* : V \to V$ that each act on an eigenbasis for the other in an irreducible tridiagonal fashion. Let $A,A^*$ denote a Leonard pair on $V$. Let $\{v_i\}_{i=0}^d$ denote an eigenbasis for $A^*$ on which $A$ acts in an irreducible tridiagonal fashion. For $0 \leq i \leq d$, define an $\mathbb{F}$-linear map $E^*_i : V \to V$ such that $E^*_i v_i = v_i$ and $E^*_i v_j = 0$ if $j \neq i$ $(0 \leq j \leq d)$. The map $F = \sum_{i=0}^d E^*_i A E^*_i$ is called the flat part of $A$. The Leonard pair $A,A^*$ is bipartite whenever $F=0$. The Leonard pair $A,A^*$ is said to be near-bipartite whenever the pair $A-F, A^*$ is a Leonard pair on $V$. In this case, the Leonard pair $A-F, A^*$ is bipartite and called the bipartite contraction of $A,A^*$. Let $B,B^*$ denote a bipartite Leonard pair on $V$. By a near-bipartite expansion of $B,B^*$, we mean a near-bipartite Leonard pair on $V$ with bipartite contraction $B,B^*$. In the present paper, we have three goals. Assuming $\mathbb{F}$ is algebraically closed, (i) we classify up to isomorphism the near-bipartite Leonard pairs over $\mathbb{F}$; (ii) for each near-bipartite Leonard pair over $\mathbb{F}$ we describe its bipartite contraction; (iii) for each bipartite Leonard pair over $\mathbb{F}$ we describe its near-bipartite expansions. Our classification (i) is summarized as follows. We identify two families of Leonard pairs, said to have Krawtchouk type and dual $q$-Krawtchouk type. A Leonard pair of dual $q$-Krawtchouk type is said to be reinforced whenever $q^{2i} \neq -1$ for $1 \leq i \leq d-1$. A Leonard pair $A,A^*$ is said to be essentially bipartite whenever the flat part of $A$ is a scalar multiple of the identity. Assuming $\mathbb{F}$ is algebraically closed, we show that a Leonard pair $A,A^*$ over $\mathbb{F}$ with $d \geq 3$ is near-bipartite if and only if at least one of the following holds: (i) $A,A^*$ is essentially bipartite; (ii) $A,A^*$ has reinforced dual $q$-Krawtchouk type; and (iii) $A,A^*$ has Krawtchouk type.

Kerr-Schild double copy for Kundt spacetimes of any dimension

We show that vacuum type N Kundt spacetimes in an arbitrary dimension admit a Kerr-Schild (KS) double copy. This is mostly done in a coordinate-independent way using the higher-dimensional Newman-Penrose formalism. We also discuss two kinds of non-uniqueness of an electromagnetic field corresponding to a given KS metric (i.e., its single copy) — these originate, respectively, from the rescaling freedom in the KS vector and from the non-uniqueness of the splitting of the KS metric in the flat part and the KS part. In connection to this, we show that the subset of KS pp-waves admits both null and non-null electromagnetic single copies. Since vacuum type N Kundt spacetimes are universal solutions of virtually any higher-order gravities and null fields in such backgrounds are immune to higher-order electromagnetic corrections, the KS-Kundt double copy demonstrated in the present paper also applies to large classes of modified theories.

Merkez Karacaören Köyünden (Hadriani) Bir Mezar Steli

The tomb stele in good condition, which was acquired to the Burdur Museum by a citizen, is preserved in the garden of the museum. The stele from Karacaören village of the central district of the province must have been carved in an itinerant workshop in Hadriani. The tomb stele, which has a flat lower part and a triangular upper part, features a standing man and a woman in the scene. Both figures are of the “Dioscurides” type. This type, which is quite common in the man figures of the Roman Imperial period, is also preferred for the woman figures. The most distinctive features of this type are that the right arm, bent at the elbow with the posture of the figures, is enclosed in a sling formed from the himation, while the left arm adjacent to the body is slightly bent at the elbow and extended downwards, holding the end of the himation. This type also represents the status of the man figure and his family. The tomb stele, which is dated to the Roman Imperial period with its rather simple appearance, has been suggested a period based on the stylistic evaluations of the man and woman figures. The hairstyle of the man figure is similar to that of the portrait of Traianus in type I. The hair fashion in the woman portrait is similar to that in the “Ceres” type portrait of Vibia Sabina, the wife of Hadrianus (117-138 AD). In addition to this hairstyle/fashion, other stylistic features of the figures reflect the stylistic characteristics of the Traianus (98-117 AD) period. As a result of the analyzes, the tomb stele was dated to the Late Traianus-Early Hadrianus period.

Theoretical Analysis of Microcavity Simultons Reinforced by χ^{(2)} and χ^{(3)} Nonlinearities.

High-Q microcavities with quadratic and cubic nonlinearities add lots of versatility in controlling microcombs. Here, we study microcavity simulton and soliton dynamics reinforced by both χ^{(2)} and χ^{(3)} nonlinearities in a continuously pumped microcavity. Theoretical analysis based on the Lagrangian approach reveals the soliton peak power and gain-loss balance are impacted by the flat part of the intracavity pump, while the dark-pulse part of the pump leads to a nearly constant soliton group velocity change. We also derived a soliton conversion efficiency upper limit that is fully determined by the coupling condition and the quantum-limited soliton timing jitter in the χ^{(2,3)} system. Numerical simulations confirm the analytical results. Our theory is particularly useful for investigating AlN microcombs and sheds light on the interplay between χ^{(2)} and χ^{(3)} nonlinearities within microcavity simultons.