{"title":"Buckling and Post-buckling of Sandwich Plate with Functionally Graded Graphene Origami Reinforced Core Layer in Hygrothermal Environment","authors":"Vu Minh Anh, Ngo Dinh Dat, Nguyen Dinh Duc","doi":"10.25073/2588-1124/vnumap.4866","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4866","url":null,"abstract":"The buckling and post-buckling of magneto-electric-elastic (MEE) sandwich plate are presented. The core layer consists of epoxy matrix reinforced with graphene origami auxetic metal-material in which the volume fraction of graphene origami is assumed to vary the thickness direction in three different distributions. For MEE face sheets, the proportions of ferroelectric and ferromagnetic components are chosen equally. The Reddy's higher order shear deformation plate theory forms the basis for establishing the governing equations. The axial compressive loading- deflection amplitude relation and the expression of critical buckling loading are obtained through the application of Galerkin method. The method's accuracy is validated by comparing its results with those published by other authors. The influences of various parameters on the buckling and post-buckling of the sandwich plate are investigated in details.","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"95 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139163199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nonlinear Vibration of Function Graded Magneto-electro-elastic Microplates using Nonlocal Stress Theory","authors":"Ngo Dinh Dat, Nguyen Dinh Duc","doi":"10.25073/2588-1124/vnumap.4858","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4858","url":null,"abstract":"This work presents an analysis of nonlinear vibration in Function Graded Magneto-Electro-Elastic (FG-MEE) plates subjected to mechanical, electrical, and magnetic loads using the nonlocal stress theory approach. In this study two types of MEE plates, namely BaTiO3 and CoFe2O4 were considered. The basic equations are derived using classical plate theory with nonlocal stress theory and are solved using the Galerkin method and Runge-Kutta method. We investigated the effects of nonlocal parameters, materials, and geometrical characteristics on the natural frequencies and nonlinear vibration of the FG-MEE microplates. ","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"232 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139160951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical Investigation of Optical Properties in Carbon Tetrachloride-Filled Photonic Crystal Fibers","authors":"Nguyen Thi Thuy, Nguyen Thi Oanh","doi":"10.25073/2588-1124/vnumap.4850","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4850","url":null,"abstract":"In this work, we design circular lattice photonic crystal fibers using Lumerical Mode Solution software, its hollow core filled with carbon tetrachloride. Optical properties including effective refractive index, chromatic dispersion, nonlinearity, and fiber loss were investigated numerically in detail based on solving Maxwell's wave equations. The small effective mode areas of only a few µm2, and confinement loss as low as 14.799 dB/m at specific pump wavelengths were obtained. It was found that near-zero ultra-flattened chromatic dispersion with fluctuations of ±0.44 ps/nm.km spans from 1300 to 1830 nm. Three photonic crystal fibers with optimal structure and features were suggested for broadband supercontinuum generation orientation.","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"164 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139161199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Interface of Two-component Bose-Einstein Condensates in Double-parabola Approximation","authors":"Nguyen Van Thu","doi":"10.25073/2588-1124/vnumap.4856","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4856","url":null,"abstract":"In this work we proposed a simple method to determine the coordinate of interface of two-component Bose-Einstein condensates (BECs) in double parabola approximation (DPA). Based on this idea, the static properties of BECs have been investigated totally in DPA","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"46 22","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139161929","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Characterizations of Cr3+- doped SnO2 Powders Via a Hydrolysis Method","authors":"Trinh Thi Loan, Vu Hoang Huong","doi":"10.25073/2588-1124/vnumap.4845","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4845","url":null,"abstract":"In this work, the effect of annealing temperature and Cr3+ concentration on the structural and optical properties of the SnO2 host crystals has been investigated. The Cr-doped SnO2 samples were synthesized by a simple hydrolysis method, using SnCl4.5H2O as the host precursor and CrCl3.6H2O as the source of dopant. X-ray diffraction and Raman scattering spectra analysis revealed a tetragonal rutile structure of Cr3+-doped SnO2 samples. The Cr3+ concentration and annealing temperature have no influence on the lattice parameters of the SnO2 crystals, whereas affected the appearance and intensity of the Raman modes. The optical properties of the synthesized samples were explored by photoluminescence (PL) and photoluminescence excitation (PLE) analysis. Interestingly, besides the emission peaks related to the SnO2, emission transitions within Cr3+ ions in the octahedral field of SnO2 were observed.","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"12 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139162060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Application of Stable Random Vector with Gaussian Copula","authors":"Vo Thi Truc Giang, Ho Dang Phuc","doi":"10.25073/2588-1124/vnumap.4819","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4819","url":null,"abstract":"More and more real-world datasets have heavy-tailed distribution, while the calculations for these distributions in multi-dimensional cases are complex. This work shows a method to investigate data of multivariate heavy-tailed distributions. The sufficient condition for every a-stable random vector is that it has α-stable marginals and Gaussian copula. From that results, we have a procedure testing stable distribution of multi-dimensional data and a formula representing density functions of multivariate stable distribution. Adopted a new tool, datasets about daily returns of 4 stocks on HoSE and 3 grains were analyzed.","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"242 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139162968","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analysis of the Structure and Luminescence Properties of Sr3Y2Ge3O12:0.05Eu3+ (SYGO:Eu3+) According to Judd–ofelt Theory","authors":"N. M. C. H. P. Lan, N. Kien, C. X. Thang, N. Tung","doi":"10.25073/2588-1124/vnumap.4800","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4800","url":null,"abstract":"In this report, SYGO:Eu3+ red phosphor have been successfully synthesized by sol-gel method. The X-ray diffraction results show that the sample has a cubic crystal structure, belonging to the space group Ia3d (230) without any doping. Scanning electron microscopy (FE-SEM) combined with EDS was performed to determine the microstructure and elemental composition of the fabricated phosphor. The particles are significantly agglomerated and are about ∼200 nm in size. The results of fluorescence property investigation (PLE-PL) show that, the maximum emission spectrum at 612 nm under ultraviolet light close to 395 nm for excitation. Calculating the J-O intensity parameters, the result is that Ω2 is larger than Ω4 which proves that the surrounding local structure of the doped ion is asymmetric. In addition, the luminescence efficiency approximately calculation is 70%. Phosphor SYGO:Eu3+ has been fabricated which can be used as a solid lighting material for WLED.","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125500255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Strong Laws of Large Numbers for Weighted Sums of Hilbert-valued Coordinatewise PNQD Random Variables with Applications","authors":"Ta Van Chien, Bui Khanh Hang, Bui Thi Thuy Lien","doi":"10.25073/2588-1124/vnumap.4829","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4829","url":null,"abstract":"The aim of this paper is to investigate results on almost sure convergence of weighted sums of coordinatewise pairwise negatively quadrant dependent random variables taking values in Hilbert spaces. As an application, the almost sure convergence of degenerate von Mises-statistics is investigated. \u0000Keywords: Negative quadrant dependence, Hilbert spaces, Weighted sums, Strong laws of large numbers. \u0000 \u0000 ","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130931679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nguyen Van Dung, Nguyen Thi Tuyet Nhung, Le Vinh Truong
{"title":"Study of the Mixture of Rapeseed Oil and Waste Cooking Oil used for Insulation in Transformers","authors":"Nguyen Van Dung, Nguyen Thi Tuyet Nhung, Le Vinh Truong","doi":"10.25073/2588-1124/vnumap.4778","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4778","url":null,"abstract":"The blend of waste cooking oil and rapeseed oil was studied as an alternative to mineral oil in transformers. Waste cooking oil after filtering, neutralizing and drying was mixed with refined rapeseed oil. The ratio between waste cooking oil and rapeseed oil was determined based on the pour point. Physico-chemical parameters of the oil mixtures were measured according to the ASTM D6871, and the oil mixture was examined in both new and aged conditions. For ageing, the oil mixture was heated at 120 oC for 164 h with an air flow of 5.5 L/h. In addition, the influence of antioxidants on the breakdown voltage and ageing of the oil mixture was also studied. Experimental results showed that the mixture consisting of 15 vol.% of waste cooking oil and 85 vol.% of rapeseed oil met the standards of ASTM D6871. Tert-butylhydroquinone and propyl gallate significantly increased the oxidation stability index, breakdown voltage and ageing resistance of the the oil mixture. ","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"136 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116047172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Enhancement of Methylene Blue Adsorption from ZnO/Activated Carbon Nanocompossites Prepared by Pyrolysis of Molten ZnCl2 with Rice Husks","authors":"Nguyen Thi Luyen","doi":"10.25073/2588-1124/vnumap.4779","DOIUrl":"https://doi.org/10.25073/2588-1124/vnumap.4779","url":null,"abstract":"In this work, we synthesized a facile step pyrolysis of ZnO/activated carbon nanocomposites by using molten ZnCl2 and rice husks in oxygen-limited environment. The mass ratio of molten ZnCl2 and rice husks was chosen from 0 to 5 wt.%, the pyrolysis temperature range from 400 to 800 oC. When the mass ratio of molten ZnCl2 and rice husks was equal to 1.0 and the pyrolysis temperature was at 800 oC, the size of ZnO nanoparticles in diameter was found to be of 10-20 nm. The ZnO/activated carbon nanocomposites exhibited a porous structure with the BET surface area, average pore diameter and pore volume of 643.9 m2/g, 4,76 nm and 0.255 cm3/g, respectively. To investigate the adsorption behavior of methylene blue, batch experiments were performed on all samples. The ZnO/activated carbon sample manufactured at a mass ratio of 1.0 and a pyrolysis temperature of 800 oC has the best methylene blue adsorption capability. The Langmuir isotherm was used to calculate the maximum adsorption capacity of methylene blue, which was 814.9 mg/g. Based on the obtained results, one can suggest that ZnO/activated carbon nanocomposites prepared by the facile pyrolysis route from molten ZnCl2 and rice husks possessing eco-friendly behaviour and low productioncost can be used as a potential adsorbent for wastewater treatment.","PeriodicalId":303178,"journal":{"name":"VNU Journal of Science: Mathematics - Physics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124623260","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}